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Students can Download English Lesson 3 The Hour of Truth (Play) Questions and Answers, Summary, Activity, Notes, Samacheer Kalvi 12th English Book Solutions Guide Pdf helps you to revise the complete Tamilnadu State Board New Syllabus and score more marks in your examinations.

Tamilnadu Samacheer Kalvi 12th English Solutions Supplementary Chapter 3 The Hour of Truth (Play)

Warm up

Question (a)
We judge people around us, based on their qualities and actions. We brand some people as good and some bad. What qualities, do you think, characterise a gentleman? Some of them may be merely external and some others internal

Answer:

Question (b)
When we see a few coins scattered on the ground, we would probably pick them up on the sly or walk away ignoring them. What if it was an envelope full of 2000 bills? How are people likely to react in such a situation?

Answer:
Discuss with a partner and share your views:
People may react differently. Reader’s digest conducted a honesty test in the busy roads of major cities of India. They had obviously left a costly mobile on the middle of a pavement. A candid camera was taking a video footage. Many tried to pocket it. One poor man tried to contact a policeman on the beat and hand it over to him. Recently in Saravana Bhavan hotel in Chennai an old lady had left behind a yellow bag. There was 25 lakhs in the bag. The old lady had come to buy jewels for her grand daughter’s wedding. One of the waiters who attended the lady and her family members passed on the bag to the manager, who in turn gave it in person to Inspector, Mambalam Police station. Fortunately a tear filled lady and worried family members also reached the spot. The Inspector sent for the honest waiter and through him gave the money to the old lady.

Whether it is big money or small coins, one should not covet others’ wealth. The person who lost must be feeling the pain of loss. We should never think of enjoying life at the cost of the pain of others.

Samacheer Kalvi 12th English The Hour of Truth (Play) Textual Questions

1. Rearrange the following sentences in a meaningful sequence and write the summary of the play.

(a) Baldwin who returned home after meeting Gresham, informed his family that Gresham had offered a hundred thousand, if he would utter the words ‘I don’t remember’ in court, during the trial.
(b) The family members tried to justify Gresham’s act and enticed Baldwin into accepting the money.
(c) Thus ‘The Hour of Truth’ had dawned relieving Baldwin of the heavy burden and guilt.
(d) Baldwin was an honest and upright man, working under John Gresham, in a bank.
(e) To save Baldwin, Mr. Marshall, President of the Third National, visited him and informed him that Gresham had confessed his crime, in order to free him from betraying his trusted friend and testifying painfully against him.
(f) Gresham and Baldwin had been thick friends for over 30 years and Baldwin had even named his son after Gresham.
(g) Baldwin felt disgusted with himself and the attitude of his family members.
(h) Gresham had been arrested for misappropriation of money at the bank and Baldwin was to testify against him.
(i) Mr. Marshall also offered Baldwin a job in his Bank, to reward him for his honesty and integrity.
(j) The family members who were initially against Gresham, changed their mind on hearing the huge sum offered by him.

Answer:

(f) Gresham and Baldwin had been thick friends for over 30 years and Baldwin had even named his son after Gresham.
(d) Baldwin was an honest and upright man, working under John Gresham, in a bank.
(h) Gresham had been arrested for misappropriation of money at the bank and Baldwin was to testify against him.
(a) Baldwin who returned home after meeting Gresham, informed his family that Gresham had offered a hundred thousand, if he would utter the words ‘I don’t remember’ in court, during the trial.
(b) The family members tried to justify Gresham’s act and enticed Baldwin into accepting the money.
(j) The family members who were initially against Gresham, changed their mind on hearing the huge sum offered by him.
(g) Baldwin felt disgusted with himself and the attitude of his family members.
(e) To save Baldwin, Mr. Marshall, President of the Third National, visited him and informed him that Gresham had confessed his crime, in order to free him from betraying his trusted friend and testifying painfully against him.
(c) Thus ‘The Hour of Truth’ had dawned relieving Baldwin of the heavy burden and guilt.
(i) Mr. Marshall also offered Baldwin a job in his Bank, to reward him for his honesty and integrity.

2. Answer the following questions in one or two sentences each.

Question (a)
Why did Baldwin meet Gresham?
Answer:
Baldwin met Gresham because he had asked to see him before the trial slotted the following day.

Question (b)
What made Martha withdraw her money from the bank?
Answer:
Martha had a doubt that the bank was crashing. So, she withdrew the money from the bank.

Question (c)
How is Martha’s strong conviction in Baldwin’s integrity revealed?
Answer:
During the family conversation, Martha defends Mr. Baldwin’s integrity like a tigress. She told her son John Gresham Baldwin and Evie that their father was upright and had no hand in the wrecking of the bank.

Question (d)
What had Donovan told John?
Answer:
Donovan had said that nobody had any idea as to what was ailing the bank. The wreck of the bank was too sudden. He had married on the strength of the cashier’s job in the bank. He said crash would not have happened without the knowledge of the Governor Baldwin.

Question (e)
John feels Gresham deserves punishment. Why?
Answer:
John had a feeling that his dad was paid only 60 dollars per week for the past 20 years. Gresham had become very rich during the same period. He deserved punishment for underpaying his staff.

Question (f)
What was Baldwin’s advice to Gresham?
Answer:
Baldwin advised Gresham to close the bank and make up the losses.

Question (g)
What did Gresham want Baldwin to do?
Answer:
Gresham wanted Baldwin to say three words “I don’t remember’ in the court when the lawyer (or) judge asked him the technical details and dates. If he did so, Gresham will not be indicted. In turn, Baldwin will get one hundred thousand dollars.

Question (h)
Explain the significance of the words ‘I don’t remember’.
Answer:
‘I don’t remember’ were the three words which Gresham wanted Baldwin to say when technical questions on misappropriation of funds are asked in the court. Gresham offered one hundred thousand dollars in hot cash to say them. But Baldwin did not want to do that dishonest and dishonourable thing.

Question (i)
Why does John turn wild on hearing that Gresham had offered his father money?
Answer:
John goes wild trying to convince Mr. Baldwin that it was not wrong to take the offered money. He justified it as a help to a friend who had the name his son shared. When a person with his own name is jailed, he feels that his reputation may also be spoiled.

Question (j)
When would Baldwin part company with Gresham?
Answer:
Baldwin has always been loyal to Gresham. But when John Gresham ceases to be an honest man, John Gresham and Baldwin would part company.

Question (k)
What does John consider ‘a technicality’?
Answer:
John says what Gresham had done would not amount to any crime because not a depositor would lose a cent. It is just a technicality that he used for increasing his gains.

Question (l)
Why was John filled with shame?
Answer:
John was filled with shame because as he is named after Baldwin’s best friend Gresham, he will be put to shame for bearing the name of a criminal. This emotional blackmail is made to ask Baldwin to let Gresham off the hook.

Question (m)
How much did Gresham offer to pay Baldwin for saving his skin and how did he justify that?
Answer:
Gresham offered Baldwin one hundred thousand dollars. He justified the money as a difference of salary he had received and he ought to have received.

Question (n)
What was Mr. Marshall’s offer to Baldwin?
Answer:
Mr. Marshall offered Baldwin a job in the third National Bank.

Question (o)
How was Baldwin’s honesty rewarded?
Answer:
In the following morning the whole world know the integrity of Baldwin as Gresham had confessed.

3. Based on your understanding of the play, complete the Graphic Organiser given below.

Answer:

4. Answer in a paragraph of about 150 words each.

Question (a)
Trace the bond of friendship between Baldwin and Gresham. Explain why Baldwin wished to attribute some credit to his friend.
Answer:
Baldwin and Gresham were boyhood chums. They went to school together. Their friendship flowered into a lifetime bondage as it was sustained for thirty five years. When Baldwin’s son was being baptised in the church, Gresham was present. Baldwin expressed his wish that his son John Gresham Baldwin grew up to Gresham’s standard in life. Baldwin was paid only 60 dollars a week for working as a Governor of the private bank founded by Gresham. Accidentally, Baldwin found out how Gresham was siphoning money very cleverly from the deposits technically without really causing any loss to the depositors. But Baldwin was loyal to Gresham only as long as he was honest. Once he parted ways with honesty, Baldwin would also part ways with Gresham. By the force of his upright character, Baldwin advised him to close the bank and return the deposit to the customers.

Third National Bank was ready to help the reorganization of the bank. Meanwhile, Gresham was arrested. The court could not nail Gresham as there was not a shred of evidence to prove his guilt. If Baldwin testified, the court would indict him. Just before being arrested Gresham offered him one hundred thousand dollars to just say “I don’t remember”. The three words to let him off the hook. He claimed it was the difference between the salary he had been paid and what he ought to have received. Had it been someone else, Baldwin would have slapped him. But it was Gresham who understood his body language and did not press the matter further. He was proud of the fact that Gresham understood how he could not compromise with his conscience. His family members Martha, Evie and John felt that it was a compliment that cost him one hundred thousand dollars. Baldwin said that Gresham’s compliment about his uprightness was worth a hundred thousand dollars.

Question (b)
How did Martha and John react when they came to know that Baldwin had rejected the generous offer made by Gresham?
Answer:
Martha and John cherished a grudge against Gresham for having underpaid Baldwin for about two decades. They openly said that he deserved punishment. Initially Gresham condemned the bribe claimed as a difference in salary paid. Had he been made a similar offer he claimed he would have asked him to go to the devil. Baldwin said that having been a friend he couldn’t use such an abusive language. Casually John asked how much he offered. Baldwin said that it was one hundred thousand dollars. Suddenly Martha and John changed their attitude towards Gresham. John viewed a shame if Gresham got indicted because he shared his name. Martha also desperately tried to convince him not to testify against Gresham. John even suggested that he could say those three words “I don’t remember” as the depositor would not lose a cent. Baldwin felt miserable because the family members who he wanted to feel proud of his uprightness wanted him to crossover to the side of corrupt practices because of the generous offer made by Gresham.

Question (c)
Is Baldwin really honest or does he maintain his honesty fearing criticism? Why do you say so?
Answer:
Baldwin lived the life of an upright and honest man. Though he was paid just 60 dollars a week in the private bank of Gresham, he never complained. The small increments he had been given were not because he had asked but because Gresham had given them. He was frugal and he was worshipped as a hero by his family members (i.e.) wife Martha, son John Gresham Baldwin and daughter Evie.

Baldwin deeply believed that he had been a role model to his children that is more valuable than money. He admitted to his son that he was disturbed that he would lose the respect of his own family members if he stooped even once in his life even if the bait is one hundred thousand dollars. No doubt he was upright. The three words “I don’t remember” would choke him. Only during the momentary explosion of frustration, it appears that he feared criticism. But his natural reflex on the offer was denial. His agony on the contradictory expectation of worldly-wise family members is obvious. He did not even have to articulate his feelings to Gresham who intuitively understood that his uprightness can’t be purchased with even one hundred thousand dollars.

Question (d)
Sketch the character of:
(i) Robert Baldwin
(ii) John Gresham.
Answer:
(i) Robert Baldwin:
Robert Baldwin is the central character around whom the whole one-act play revolves. He is a middle class father who values honesty and loyalty to the organization more than 35 year long friendship. He rises in the esteem of the readers and theatre goers on realising that he wants to leave a legacy of honesty to his children and not the ill-gotten hundred thousand dollars which could give his family a life of comfort they did want to lead. Baldwin is really hurt by the three sided attack (i.e.) a war of words waged against his honesty by Martha, Evie and John. Even before the trial begins against Gresham, Baldwin is made to feel like a traitor.

His family members accuse him of letting down the honour of a close family friend who had made a very generous offer. The mental agony experienced by Baldwin is hundred times more at home. He is elated initially as he had successfully forced Gresham with a whip in hand (i.e.) honesty to ‘ close the bank and make up the loss to the customers. But when he discloses the offer of one hundred thousand dollars, as a private fortune without causing loss of a cent to depositors, he is made to experience hell by the emotional blackmail of his family members who knew very well how those three words “I don’t remember” would choke him. Baldwin holds on to honesty even at the prospect of losing both 35 year-old friendship and one hundred thousand dollars he had never had in his life.

(ii) John Gresham:
John Gresham is a worldly-wise founder of a private bank. He values friendship and appoints his boyhood chum Robert Baldwin as the Governor in his bank. He is clever and is very , successful in running his bank profitably. In the meantime, he uses the deposits accrued in a 1 way that enhances his own private fortune of course without costing anything to the depositors, It is in fact a breach of trust. Nobody has had an inkling that any malpractice is going on. Even Donovan the cashier claims that the closure of the bank came as a rude shock to him as he had married on the strength of the job and salary from the bank.

Martha claims she withdrew her money without telling Baldwin who is very loyal to Gresham. He would never have approved of it. After being found out and when the trial against him on misappropriation of funds is in “progress he offers a bait of one hundred thousand dollars from his private fortune. He knows’ that only Baldwin alone could help the law to nail him. But if he says, “I don’t remember” again using the good will regained in the law suit. But he understands the body language of , Baldwin. He realizes it would be a painful thing for Baldwin to testify against him. He might be bad as a banker, but he values the feelings of Baldwin and his honesty. He confesses to avid embarrassment to Baldwin and informs ‘Third National’ chairman that Baldwin has not for technical questions, he would be let off the hook. If acquitted, he could make money budged even after the offer of one hundred thousand dollars.

Question (e)
Who do you think exhibits true friendship-Baldwin or Gresham? Justify your answer.
Answer:
This is a typical question for which much can be said on both the sides. Both Baldwin and Gresham exhibit true friendship from their respective sides. Baldwin is rich in great virtues like loyalty, honesty, frugality and valuing human relationships. He is loyal to Gresham with thirty five year old friendship. But the moment Gresham parts ways with honesty, Baldwin would part ways with him. The greatest compliment ever paid to Baldwin is not from Martha, Evie or John but Gresham. Gresham meets Marshall and confesses that Baldwin is an honest man whose honesty cannot be purchased even with one hundred thousand dollars.

He is poor earning just 60 dollars a week, now even that is gone as the bank is closed. He is richer than Gresham in terms of uprightness and honesty. Baldwin, being a friend, shows Gresham the right path even when he realizes that his friendship would be at stake. Thiruvalluvar says, “Friendship is not meant for just laughing and having fun but to criticize a friend when he is wrong.” Likewise, it is Baldwin who compels Gresham to close the bank and ensure the of deposits through honest means. He doesn’t want to support friendship when a friend parts ways with honesty. He doesn’t openly articulate his unwillingness to accept the bait but his uncomfortable silence says it all. Thus both exhibit true friendship towards one another.

Additional Questions

Question (a)
Explain the significance of the words ‘I don’t remember’.
Answer:
‘I don’t remember’ were the three words which Gresham wanted Baldwin to say when technical questions on misappropriation of funds are asked in the court. Gresham offered one hundred thousand dollars in hot cash to say them. But Baldwin did not want to do that dishonest and dishonourable thing. But having been honest earning just 60 dollars a week Baldwin felt like choking. His children and wife persuaded him. Gresham understood Baldwin would not say those words though Baldwin didn’t say it openly. John told Baldwin it was a compliment that cost him a hundred thousand dollars. But Baldwin felt it was a compliment worth hundred thousand dollars.

5. IDIOMS

Now match the idioms under column A with their meanings in column B:

Answer:

Speaking Activity

(a) Imagine you are Baldwin and your partner is Gresham. Try your best to persuade your partner to confess the truth. Build a conversation describing how both of you would react in such a situation. Work in pairs.

Gresham: Baldwin, why do you look cross?
Baldwin: Ask your conscience.
Gresham: Well, my conscience is clear. What is wrong with you?
Baldwin: I found out that you are siphoning small negligible changes to your own account. Now it amounts to a few hundred thousand dollars as none of the depositors have noticed the disappearance of small changes.
Gresham: Well, none of the depositors would lose a cent. I have transferred it in some investment. I have got ten fold gains. Now we shall quietly transfer the amount in their own accounts. No one will ever come to know of it.
Baldwin: Is it not a breach of trust? I’m not going to keep quiet about this.
Gresham: What do you want to do?
Baldwin: Close the bank and make good the loss to all the depositors. (After a few days)
Gresham: Well, Baldwin I have closed the bank. Third National is going to do the reorganisation. Now I want you to say three words.
Baldwin: What?
Gresham: “I don’t remember” When you are cross examined on vital statistics for which you would require references.
Baldwin: How does that absolve you of your crime.
Gresham: Don’t you know the fact that I’ve earned enough money and no depositor will lose a cent. It is just a technicality.
Baldwin: What do you mean?
Gresham: Well, I will give you one hundred thousand dollars for letting me off the hook. I just want you to say “I don’t remember”.
Baldwin: Already you have used the funds of depositors. You want them to become paupers?
Gresham: Baldwin, you frustrate me. Look here. This is hot cash from my own private fortune. Baldwin, why don’t you say something?
Baldwin: You have known me for more than 35 years.
Gresham: You are silent. Say yes or no. I know you have been an upright man all through your life. The offer is final.
Baldwin: You have one option Gresham. We will meet in the court. You can confess. For God’s sake don’t force me to say anything now. I am disturbed.
Gresham: Why do you think it is a bribe or a bait. It is the difference in your salary, the salary you have received and what you should have got all these years.
Baldwin: As long as you are honest, I will be loyal to you Gresham. When you part with loyalty, we would part ways. The matter is closed.

(b) ‘A friend in need is a friend indeed’. Does this hold good in all situations? Share your views with your class.

The saying, “A friend in need is a friend indeed” is relevant to only those situations when both the friends pursue the goals with justifiable means. I read an interesting story written by O. Henry entitle “After twenty years”. Two boyhood chums, Bob and Jimmy, decide to pursue their dream careers and decide to meet at Big Joe Brady’s Restaurant. Jimmy becomes a policeman and Bob a criminal and notorious robber. Jimmy recognizes the features of the most wanted criminal by Chicago police in Bob. The friend’s need is to help him escape but duty consciousness gives him painful choice of sending a plain clothes man to arrest him. So, the saying “A friend in need is a friend indeed” is not applicable at all occasions. When there is a debate with the conscience on moral grounds and professional ethics, one can’t continue to be a friend “in need”.

The Hour of Truth (Play) About The Author

Percival Wilde (1887 – 1953) was a prolific American author and playwright. He wrote many novels, short stories and one-act plays. His plays were popular in the little theatre movement. He also authored a textbook on the theatre arts. He was native to New York City, worked for a time as a banker. He began writing plays in 1912.

Percival Wilde chose to portray the values of life in his plays, throwing light on a specific trait of an individual. His one-act play The Hour of Truth is a testimony to his craftsmanship where the three classical unities of time, place and action are observed.
The climax of the play develops rapidly and ends with a pleasant surprise

The Hour of Truth (Play) Summary in English

Introduction
In ‘The hour of truth’, the integrity of Baldwin is the dominant trait around which the whole play is spun. This one- act play evidences his craftsmanship where the classical unites time, place and action were observed meticulously. The climax has an O. Henry twist and thus a surprising end.

Baldwin is a middle class man earning 60 pounds a week. He is working in a private bank for Mr. Gresham. They are close friends for over thirty years. Baldwin Christens his son as Gresham Baldwin. He leads a contented life. He finds out that his boss has been misappropriating money very cleverly. Technically speaking the depositors will i not lose a scent. But Baldwin coerced Mr. Gresham to close the bank and | settle the account of the depositors. Mr. Gresham promised to return the depositors money. He offered Baldwin one hundred thousand dollars if he chose to tell the enquiry officers that he had forgotten some important details. This would help Gresham get out of the problem safely. Baldwin was shocked by the offer.

He went home and told Martha, his wife and Gresham Baldwin about the offer. On hearing the handsome offer, both the wife and son persuade him to take the money as it was just a technicality and the depositors would not lose money. Actually, Baldwin had a faith that his family regarded his integrity far higher than material gains. When he learnt his son and family members were trying to convince him to take the money, he felt disgusted. Just then, Mr. Marshal, President of third National Bank, informed Baldwin that his boss Mr. Gresham has confessed to his crime. He had told him that one hundred thousand dollars couldn’t shake Baldwin’s integrity. Though he had told him that it was a difference of salary he had paid and what he ought to have paid. He said Gresham did not want him to undergo the pain of testifying against him in the court. Hearing this, Baldwin cried. His heart felt light. Mr. marshal offered him a position in his bank. This has been the honour conferred on his honesty.

Conclusion
The dramatist reflects the foibles of modem society. People value riches more than honesty and integrity. He rewards honesty at the end reaffirming the common faith “Honesty is always rewarded.”

The Hour of Truth (Play) Summary in Tamil

முன்னுரை
“உண்மை , தெரிந்த நேரம்” என்னும் கதையில் பால்ட்வின் நேர்மையான நடத்தையையும் அதன் பின்னணியில் முழுக்கதையும் சுழல்கிறது. இந்த ஓரங்க நாடகம் ஆசிரியர் இடம், காலம், செயல் இவற்றுக்கிடையே உள்ள பாரம்பரிய ஒற்றுமையைத் துல்லியமாகக் காட்டுகிறது. நாடகத்தில் உச்சக் கட்டத்தில் ஓ.ஹென்றிக்கே உரிய திருப்பத்தால் நாடகம் வியப்பூட்டும் வண்ணம் முடிகிறது. பால்ட்வின் வாரம் 60 டாலர் மட்டுமே சம்பாதிக்கிற நடுத்தர வகுப்பைச் சார்ந்தவர். அவர் திரு.கிரெசாம் நடத்துகிற தனியார் வங்கியில் பணி புரிந்தார். அவர்கள் 30 வருடங்களாக நண்பர்கள். பால்ட்வின் தன் மகனுக்கு கிரெசாம் பால்ட்வின் எனப் பெயர் சூட்டினார். அவர் மனம்

நிறைந்த வாழ்க்கை வாழ்ந்து வந்தார். அவர் தன் முதலாளி மிகத் தந்திரமாகப் பணத்தைக் கையாளுகிறார் என்பதைக் கண்டுபிடித்தார். நுட்பமாகப் பார்த்தால் பணம் செலுத்துபவருக்கு ஒரு பைசா நஷ்டமும் ஏற்படாது. ஆனால், பால்ட்வின் வங்கியை மூடிவிட்டு பணத்தைச் செலுத்திய வாடிக்கையாளர்களுக்கு திரும்பிக் கொடுத்து விடுமாறு கிரெசாமை நிர்பந்தப்படுத்தினார். கிரெசாம் வாடிக்கையாளரின் பணத்தை திருப்பிக் கொடுத்து விடுவதாக வாக்குறுதி அளித்தார். பால்ட்வின் விசாரணை அலுவலர்களிடம் தான் சில முக்கிய தகவல்களை மறந்து விட்டதாகக் கூறும்படியும், அதற்கான சன்மானமாக ஒரு லட்சம் டாலர் தருவதாகவும் கிரெசாம் கூறினார். இது கிரெசாம் பிரச்சனையிலிருந்து தப்பிக்க உதவும். பால்ட்வின் இத்தகைய லஞ்ச அறிவிப்பைக் கேட்டு அதிர்ந்து போனார்.

வீட்டுக்குச் சென்று தன் மனைவி மார்த்தாவிடமும், மகன் கிரெசாம் பால்ட்வினிடமும் ஒப்பந்தத்தைக் குறித்துச் சொன்னார். இதைக் கேட்ட இருவரும் ஒப்பந்தப் பணத்தைப் பெற்றுக் கொள்ளுமாறு தூண்டினர். மேலும், இதனால் நுட்பமாகப் பார்த்தால் வாடிக்கையாளர் எதையும் இழக்கப் போவதில்லை என்றனர். உண்மையாகப் பார்த்தால் தன் குடும்பத்தினர் தன் நாணயத்தின் மீது, பணத்தைவிட அதிக மதிப்பு வைத்திருந்தனர் என்பதில் நம்பிக்கை கொண்டிருந்தார். அவர்கள் பணத்தைப் பெற்றுக் கொள்ளுமாறு தன்னை சம்மதிக்க வைப்பதை எண்ணி வெறுப்படைந்தார். அப்போது தான் மூன்றாவது தேசிய வங்கியின் தலைவரான மார்சல் அவர்கள், கிரெசாம் தன் தவற்றை ஒப்புக்கொண்டதாக பால்ட்வினுக்குத் தெரிவித்தார். அவர் கிரெசாம் கொடுப்பதாகச் சொன்ன 1 லட்சம் டாலர் பால்ட்வினின் நேர்மையைத் தகர்க்கவில்லை எனத் தெரிவித்தார். அதை அவரின் சம்பளத்தில் தான் தந்திருக்க வேண்டிய தொகையின் வித்தியாசமே எனக் கிரெசாம் கூறியும் அதை மறுத்து விட்டார். பால்ட்வின் நீதிமன்றத்தில் தனக்கு எதிராக சாட்சி அளிப்பதில் | தனக்கு விருப்பமில்லை என்பதைக் கிரெசாம் தெரிவித்ததாக மார்சல் கூறினார். இதைக் கேட்ட பால்ட்வின் கண் கலங்கலானார். அவர் மன உலைச்சல் | தளர்ந்தது. மார்சல் தன் வங்கியிலேயே பால்ட்வினுக்கு | வேலை வாய்ப்பு ஏற்படுத்தினார். இதுதான், அவர் நாணயத்திற்கு கிடைத்த சன்மானம்.

முடிவுரை:
‘நாகரீக சமுதாயத்தின் குறைகளை ஆசிரியர் பிரதிபலித்துக் காட்டுகிறார். மனிதன் நேர்மை, நாணயத்தைக் காட்டிலும் பணத்தையே மதிக்கிறான். கதையின் முடிவில் கதாபாத்திரத்திற்கு கிடைக்கும் சன்மானம், ‘நாணயம் சன்மானத்திற்கு உரியது) என்பதை மீண்டும் உறுதிபடுத்துகிறது.

The Hour of Truth (Play) Glossary

Textual:

Additional:

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Tamilnadu Samacheer Kalvi 8th Maths Solutions Term 3 Chapter 5 Information Processing Additional Questions

Question 1.
Which one is the best buy of the following purchases. A pack of 5 soaps for ₹ 180 or 4 soaps for ₹ 128.
Solution:
From the pack, Cost of 5 soaps = ₹ 180
∴ Cost of 1 soap = \(\frac { 180 }{ 5 } \) = ₹ 36.
Also Cost of 4 soaps = ₹ 128
∴ Cost of 1 soap = \(\frac { 128 }{ 4 } \) = ₹ 32.
∴ Buying the pack of 5 is the best buy.

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Tamilnadu Samacheer Kalvi 8th Maths Solutions Term 3 Chapter 5 Information Processing Ex 5.2

I. Answer the following Questions

Question 1.
The sizes in MB, for nine computer files are given below. 53 82 61 38 23 41 16 34 42 The files are to be grouped into folders. Each folder may contain a maximum limit of 100 MB.
(a) Determine the minimum number of folders required.
(b) Use the first-fit method to group the files into folders.
(c) Use the first-fit decreasing method to group the files into folders.
Solution:
(a) Maximum number of folders required

(b) First fit method.

(c) First fit decreasing method.

Question 2.
A parcel delivery company has 4 motorcycles. Each motorcycle can carry a maximum load of 30kg. The weights of the parcels, (in kg), in the order they are waiting to be delivered are given below.

(a) Determine the minimum number of motorcycles required .
(b) Use the first-fit method to show how the parcels could be allocated to the motorcycles.
(c) Use the first-fit decreasing method to show how the parcels could be allocated to the motorcycles.
Answer:
(a) Minimum number of motorcycles required

(b) First fit method :

(c) First fit decreasing method :

Question 3.
A plumber wishes to cut the following sections from standard size of pipe each of length 6m.

Find the
(a) To cut according to the first-fit method calculate the wastage of the pipe length.
(b) To cut according to the first-fit decreasing method calculate the wastage of the pipe length,
Solution:
(a) First fit method :

(b) First fit decreasing method.

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Tamilnadu Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 1 Number System Ex 1.3

Question 1.
Find the product of the following
(i) 0.5 × 3
(ii) 3.75 × 6
(iii) 50.2 × 4
(iv) 0.03 × 9
(v) 453.03 × 7
(vi) 4 × 0.7
Solution:
(i) 0.5 × 3
5 × 3 = 15
∴ 0.5 × 3 = 1.5

(ii) 3.75 × 6

375 × 6 = 2250
3.75 × 6 = 22.50

(iii) 50.2 × 4

502 × 4 = 2008
50.2 × 4 = 200.8

(iv) 0.03 × 9
3 × 9 = 27
0.03 × 9 = 0.27

(v) 453.03 × 7

45303 × 7 = 317121
453.03 × 7 = 3171.21

(vi) 4 × 0.7
4 × 7 = 28
4 × 0.7 = 2.8

Question 2.
Find the area of the parallelogram whose base is 6.8 cm and height is 3.5 cm.
Solution:

Base of the parallelogram b = 6.8 cm
Height of the parallelogram h = 3.5 cm
Area of the parallelogram A = b × h sq.units = 6.8 × 3.5 cm²
Area of the parallelogram = 23.80 cm²

Question 3.
Find the area of the rectangle whose length is 23.7 cm and breadth is 15.2 cm.
Solution:

Length of the rectangle l = 23.7 cm
Breadth of the rectangle b= 15.2 cm
Area of the rectangle A = l × b sq.units
= 23.7 × 15.2 cm²
Area of the rectangle = 360.24 cm²

Question 4.
Multiply the following

1. 2.57 × 10
2. 0.51 × 10
3. 125.367 × 100
4. 34.51 × 100
5. 62.735 × 100
6. 0.7 × 10
7. 0.03 × 100
8. 0.4 × 1000

Solution:

1. 2.57 × 10 = 25.7
2. 0.51 × 10 = 5.1
3. 125.367 × 100 = 12536.7
4. 34.51 × 100 = 3451
5. 62.735 × 100 = 6273.5
6. 0.7 × 10 = 7.0
7. 0.03 × 100 = 3
8. 0.4 × 1000 = 400

Question 5.
A wheel of a baby cycle covers 49.7 cm in one rotation. Find the distance covered in 10 rotations.
Solution:
Length covered in 1 rotation = 49.7 cm
Length covered in 10 rotations = 49.7 × 10 cm = 497 cm

Question 6.
A picture chart costs ₹ 1.50. Radha wants to buy 20 charts to make an album. How much does she have to pay?
Solution:

Cost of 1 chart = ₹ 1.50
Cost of 20 charts = ₹ 1.50 × 20 = ₹ 30.00
Cost of 20 charts = ₹ 30

Question 7.
Find the product of the following.
(i) 3.6 × 0.3
(ii) 52.3 × 0.1
(iii) 537.4 × 0.2
(iv) 0.6 × 0.06
(v) 62.2 × 0.23
(vi) 1.02 × 0.05
(vii) 10.05 × 1.05
(viii) 101.01 × 0.01
(ix) 100.01 × 1.1
Solution:
(i) 3.6 × 0.3

36 × 3 = 108
3.6 × 0.3 = 1.08

(ii) 52.3 × 0.1
523 × 1 = 523
52.3 × 0.1 = 5.23

(iii) 537.4 × 0.2

5374 × 2 = 10748
537.4 × 0.2 = 107.48

(iv) 0.6 × 0.06
6 × 6 = 36
0.6 × 0.06 = 0.036

(v) 62.2 × 0.23

622 × 23 = 14306
62.2 × 0.23 = 14.306

(vi) 1.02 × 0.05
102 × 5 = 510
1.02 × 0.05 = 0.0510

(vii) 10.05 × 1.05

1005 × 105 = 105525
10.05 × 1.05 = 10.5525

(viii) 101.01 × 0.01
10101 × 1 = 10101
101.01 × 0.01 = 1.0101

(ix) 100.01 × 1.1
1001 × 11 = 110011
100.01 × 1.1 = 110.011

Objective Type Questions

Question 1.
1.07 × 0.1 _______
(i) 1.070
(ii) 0.107
(iii) 10.70
(iv) 11.07
Answer:
(ii) 0.107
Hint:
107 × 1 = 107
1.07 × 0.1 = 0.107

Question 2.
2.08 × 10 = ______
(i) 20.8
(ii) 208.0
(iii) 0.208
(iv) 280.0
Answer:
(i) 20.8
Hint:
208 × 10 = 2080
2.08 × 10 = 20.80 = 20.8

Question 3.
A frog jumps 5.3 cm in one jump. The distance travelled by the frog in 10 jumps is _______
(i) 0.53 cm
(ii) 530 cm
(iii) 53.0 cm
(iv) 53.5 cm
Answer:
(iii) 53.0 cm
Hint:
53 × 10 = 530
5.3 × 10 = 53.0

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Tamilnadu Samacheer Kalvi 8th Maths Solutions Term 3 Chapter 5 Information Processing Ex 5.1

I. Choose the correct answer:

Question 1.
Online or television advertisements influence on spending decisions by
(a) using special music
(b) making me think I need the item
(c) using attractive pictures
(d) all the above
Answer:
(d) all the above

Question 2.
When I go shopping, I will buy
(a) something that looks attractive
(b) something my friend has
(c) something that I need to purchase
(d) the first thing I see in the store
Answer:
(c) something that I need to purchase

Question 3.
The best shopping choice is
(a) always shop at brand name stores
(b) compare the choices before buying
(c) the same thing my friends bought
(d) always buy at a regular shop
Answer:
(b) compare the choices before buying

II. Say true or false:

Question 1.
Wise consumers take time to compare two or three shops before spending money.
Answer:
True

Question 2.
Taking time to analyse advertisements cannot save money when shopping.
Answer:
False

Question 3.
One cannot shop on double and triple coupon discounts in available days.
Answer:
True

Question 4.
Every time one must make a shopping list and stick on within his/her budget.
Answer:
False

III. Find the best buy of the following purchases:

(i) A pack of 5 chocolate bars for ₹ 175 or 3 chocolate bars for ₹ 114?
(ii) Basker buy 1 1/2 dozen of eggs for ₹ 81 and Aruna buy 15 eggs for ₹ 64.5?
Solution:
(i)

Best buy is a pack of 5 chocolate bars for ₹ 175.

(ii)

Best buy is 15 eggs for ₹ 64.5

Question 4.
Using the given picture find the total special offer price of fresh sweets and bakery products to buy 1/2 kg laddu, 1 kg cake, 6 pockets of bread.

Solution:

Question 5.
Using given picture prepare a price list.
Suppose you plan to buy 1 1/2 kg of apple, 2 kg of pomegranate, 2 kg of banana, 3 kg of mango, 1/2 kg of papaya, 3 kg of onion, 1 1/2 kg of tomato, and 1 kg of carrot in shop 1, how much will you save compared to shop 2.

Solution:

Price in shop 2 – Shop 1 = 715 – 675.75 = ₹ 39.25
We can save ₹ 39.25 in shop 1 compared to shop 2.

Question 6.
When you plan to buy a shirt, one shop offers a discount of ₹ 200 on MRP ₹ 1000 and another shop offers 15% discount on the same MRP. Where would you buy?
Solution:
Price in I^st shop = ₹ 1000 – ₹ 200 = ₹ 800

Question 7.
Amazing park is offers a package deal of 5 entrance passes for ₹ 130. If one entrance pass normally costs ₹ 30, how much will you save by taking advantage of this special deal?
Solution:
Cost of one entrance pass = ₹ 30
∴ Cost of 5 entrance passes = 5 × 30 = ₹ 150
But special deal price = ₹ 130
Amount of saving = 150 – 130 = ₹ 20

Question 8.
Consider that you are going to buy the toys that are given below in the price list. Prepare a comparison price chart table and find where will you get the best offer price and also find how much you save?

[The amount to the nearest rupee as ₹ 789.84 is rounded off to ₹ 790]
Solution:

By shopping at Toys & Trades mart we can save ₹ 512 (4328 – 3816) then Golden toys in Toys & Trades mart we get the best price.

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Tamilnadu Samacheer Kalvi 8th Maths Solutions Term 3 Chapter 4 Statistics Additional Questions

Question 1.
The following information shows the number of students opting different subjects in a college.

Draw a pie-chart to represent the information.
Solution:

Students opting different subjects.

Question 2.
The pie chart represents the expenditures of a family on different items. Find the percentage expenditures on different items by reading the pie-chart.

Solution:
Percentage value of the component =
∴ Percentage expenditures on various items are given as :

Question 3.
The following table gives the marks of 100 students represent in the form of a histogram.

Solution:
We take marks on X axis and frequency Y axis.

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Tamilnadu Samacheer Kalvi 8th Maths Solutions Term 3 Chapter 4 Statistics Ex 4.3

Miscellaneous and Practice Problems

Question 1.
Draw a pie chart for the given table.

Solution:
Converting the area in percentage into components parts of 360°, we have.

Question 2.
The data on modes of transport used by the students to come to school are given below. Draw a pie chart for the data.

Solution:
Converting the percentage into components parts of 360°, we have

Mode of Transport by students.

Question 3.
Draw a histogram for the given frequency distribution.

Solution:
The given distribution is discontinuous.
Lower boundary = lower limit — \(\frac { 1 }{ 2 } \) (gap between the adjacent class interval)
= 41 – \(\frac { 1 }{ 2 } \) (1) = 40.5
Upper boundary = Upper limit + \(\frac { 1 }{ 2 } \) (gap between the adjacent class interval)
= 45 + \(\frac { 1 }{ 2 } \) (1) = 45.5
Now continuous frequency table is as below

Question 4.
Draw a histogram and the frequency polygon in the same diagram to represent the following data.

Solution:
The given distribution is discontinuous.
Lower boundary = lower limit – \(\frac { 1 }{ 2 } \) (gap between the adjacent class interval)
= 50 – \(\frac { 1 }{ 2 } \) (1) = 49.5
Upper boundary = Upper limit + \(\frac { 1 }{ 2 } \) (gap between the adjacent class interval)
= 55 + \(\frac { 1 }{ 2 } \) (1) = 55.5
∴ The continuous frequency table is as below.

Question 5.
The daily income of men and women is given below, draw a separate histogram for men and women.

Solution:
The given data is continuous frequency distribution. So we take Income in X axis and No. of men in Y axis.

Now we consider the number of women and their income we have.

Challenging Problems

Question 1.
Form a continuous frequency distribution table and draw histogram from the following data.

Solution:
Converting into continuous distribution we have

Question 2.
A rupee spent in a cloth manufacturing company is distributed as follows. Represent this in a pie chart.

Solution:
1 Rupee = 100 paise.

Expenditure of a cloth manufacturing company.

Question 3.
Draw a histogram for the following data.

Solution:
Since mid values are given, the given distributors is discontinuous.
Lower boundary = lower limit — \(\frac { 1 }{ 2 } \) (gap between the adjacent class interval)
= 15 – \(\frac { 1 }{ 2 } \) (10) = 10
Upper boundary = Upper limit + \(\frac { 1 }{ 2 } \) (gap between the adjacent class interval)
15 + \(\frac { 1 }{ 2 } \) (10) = 20
The continuous distribution will be as follows.

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Tamilnadu Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 1 Number System Ex 1.2

Question 1.
Add by using grid 0.51 + 0.25.
Solution:
Here 0.51 = \(\frac { 51 }{ 100 } \) and 0.25 = \(\frac { 25 }{ 100 } \)

First we shade the region 0.51 and then 0.25.
The sum is the total shaded area. 0.51 + 0.25 = 0.76

Question 2.
Add the following by using place value grid.
(i) 25.8 + 18.53
(ii) 17.4 + 23.435
Solution:
(i) 25.8 + 18.53.
Using place value grid.

Therefore 25.8 + 18.53 = 44.33

(ii) 17.4 + 23.435
Lets use the place value grid.

Therefore 17.4 + 23.435 = 40.835

Question 3.
Find the value of 0.46 – 0.13 by grid model.
Solution:
Here 0.46 = \(\frac { 46 }{ 100 } \) and 0.13 = \(\frac { 13 }{ 100 } \)

Shading the region 0.46 and then crossing out 0.13 from the shaded area. The left out shaded region without cross marks is the difference. So 0.46 – 0.13 = 0.33

Question 4.
Subtract the following by using place value grid, (i) 6.567 from 9.231 (ii) 3.235 from 7
Solution:
(i) Let as use place value grid

Therefore 9.231 – 6.567 = 2.664

(ii) Let as use place value grid.

Therefore 7 – 3.235 = 3.765

Question 5.
Simplify: 23.5 – 27.89 + 35.4 – 17.
Solution:
23.5 – 27.89 + 35.4 – 17 = 14.01

Question 6.
Sulaiman bought 3.350 kg of Potato, 2.250 kg of Tomato and some onions. If the weight of the total items are 10.250 kg, then find the weight of onions?
Solution:
Weight of Potato = 3.350 kg
Weight of Tomato = 2.250 kg
Total weight of Potato and Tomato = (3.350 + 2.250 kg)
= 5.600 kg
Weight of potato, tomato and onions = 10.250
Weight of potato and tomato = 5.600
∴ Weight of onions = (10.250 – 5.600) Kg = 4.650 Kg
Weight of onions = 4.650 Kg

Question 7.
What should be subtracted from 7.1 to get 0.713?
Solution:
To get the number to be subtracted

We have 7.1 – 0.713 = 6.387
∴ The number to be subtracted = 6.387

Question 8.
How much is 35.6 km less than 53.7 km?
Solution:
To get the answer we must subtract 53.7km – 35.6 km = 18.1 km

So 35.6 km is 18.1 km less than 53.7 km.

Question 9.
Akilan purchased a geometry box for ₹ 25.75, a pencil for ₹ 3.75 and a pen for ₹ 17.90. He gave ₹ 50 to the shopkeeper. What amount did he get back?
Solution:
Cost of geometry box = ₹ 25.75 (+)
Cost of Pencil box = ₹ 3.75

Question 10.
Find the perimeter of an equilateral triangle with a side measuring 3.8 cm.
Solution:
Perimeter of an equilateral triangle = (Side + Side + Side) Sq. units.

Given side = 3.8
∴ Perimeter = 3.8 + 3.8 + 3.8
Perimeter of the triangle = 11.4 cm

Objective Type Questions

Question 1.
1.0 + 0.83 = ?
(i) 0.17
(ii) 0.71
(iii) 1.83
(iv) 1.38
Answer:

(iii) 1.83

Question 2.
7.0 – 2.83 = ?
(i) 3.47
(ii) 4.17
(iii) 7.34
(iv) 4.73
Answer:

(ii) 4.17

Question 3.
Subtract 1.35 from 3.51
(i) 6.21
(ii) 4.86
(iii) 8.64
(iv) 2.16
Answer:

(iv) 2.16

Question 4.
Sum of two decimals is 4.78 and one decimal is 3.21 then the other one is
(i) 1.57
(ii) 1.75
(iii) 1.59
(iv) 1.58
Answer:

(i) 1.57

Question 15.
The difference of two decimals is 86.58 and one of the decimal is 42.31 Find the other one
(i) 128.89
(ii) 128.69
(iii) 128.36
(iv) 128.39
Answer:

(i) 128.89

Students can Download Maths Chapter 4 Statistics Ex 4.2 Questions and Answers, Notes Pdf, Samacheer Kalvi 8th Maths Book Solutions Guide Pdf helps you to revise the complete Tamilnadu State Board New Syllabus and score more marks in your examinations.

Tamilnadu Samacheer Kalvi 8th Maths Solutions Term 3 Chapter 4 Statistics Ex 4.2

Question 1.
Which of the following data can be represented in a histogram?

1. The number of mountain climbers in the age group 20 to 60.
2. Production of cycles in different years.
3. The number of students in each class of a school.
4. The number votes polled from 7 am to 6 pm in an election.
5. The wickets fallen from 1 over to 50th over in a one day cricket match.

Answers:

1. Yes
2. No
3. No
4. Yes
5. Yes

Question 2.
Fill in the blanks

1. The area of the rectangles are proportional to the _______ given.
2. The total area of the histogram is _______ to the total frequency of the given data.
3. _______ is a graphical representation of continuous frequency distribution with rectangles.
4. Histogram is a graphical representation of _______ data.

Answers:

1. frequency
2. proportional
3. Histogram
4. grouped

Question 3.
In a village, there are 570 people who have cell phones. An NGO survey their cell phone usage. Based on this survey a histogram is drawn. Answer the following questions.

(i) How many people use the cell phone for less than 3 hours?
Solution:
330 people (110+ 220)

(ii) How many of them use the cell phone for more than 5 hours?
Solution:
150 of them (100 + 50)

(iii) Are people using cell phone for less than 1 hour?
Solution:
No.

(iv) Give your suggestions on the data.
Solution:
People should minimise the usage of cell phones.

Question 4.
Draw a histogram for the following data.

Solution:
The given data is continuous frequency distribution taking class intervals on X axis and No. of students on Y-axis, the histogram is given below.

Question 5.
Construct a histogram from the following distribution of total marks of 40 students in a class.

Solution:
The given distribution is continuous taking marks on X axis and No. of students on Y-axis the histogram is constructed.

Question 6.
The distribution of heights (in cm) of 100 people is given below. Construct a histogram and the frequency polygon imposed on it.

Solution:
The given distribution is discontinuous.
Converting into continuous distribution we have
Lower boundary = lower limit – \(\frac { 1 }{ 2 } \) (gap between the adjacent class interval)
= 125 – \(\frac { 1 }{ 2 } \) (1) = 124.5
Upper boundary = Upper limit + \(\frac { 1 }{ 2 } \) (gap between adjacent class interval)
= 135 + \(\frac { 1 }{ 2 } \) = 135.5
∴ The new frequency table is

+

Question 7.
In a study of dental problem, the following data were obtained.

Represent the above data by a frequency polygon.
Solution:
Finding the midpoints of the class interval we get.

The points to be plotted are A (5,5), B (15, 13), C (25, 25), D (35, 14), E (45, 30), G (65, 43.), H (75, 50) to obtain the frequency polygon ZABCDEFGHI.
Where I imagined class between 80 and 90.

Question 8.
The marks obtained by 50 students in Mathematics are given below (i) Make a frequency distribution table taking a class size of 10 marks (ii) Draw a histogram and a frequency polygon.

Solution:
Maximum marks obtained = 89
Minimum marks obtained = 08
Range = Maximum marks – Minimum marks = 89 – 08 = 81
Taking the class size = 10, then

Now we have the continuous frequency table.

We will draw the histogram taking class interval in x axis and frequency in y axis as follows.

Objective Type Questions

Question 1.
Data is a collection of _______
(a) numbers
(b) words
(c) measurements
(d) all the three
Answer:
(d) all the three

Question 2.
The number of times an observation occurs in the given data is called _______
(a) tally marks
(b) data
(c) frequency
(d) none of these
Answer:
(c) frequency

Question 3.
The difference between the largest value and the smallest value of the given data is _______
(a) range
(b) frequency
(c) variable
(d) none of these
Answer:
(a) range

Question 4.
The data that can take values between a certain range is called _______
(a) ungrouped
(b) grouped
(c) frequency
(d) none of these
Answer:
(b) grouped

Question 5.
Inclusive series is a _______ series
(a) continuous
(b) discontinuous
(c) both
(d) none of these
Answer:
(b) discontinuous

Question 6.
In a class interval the upper limit of one class is the lower limit of the other class. This is _______ series.
(a) Inclusive
(b) exclusive
(c) ungrouped
(d) none of these
Answer:
(b) exclusive

Question 7.
The graphical representation of un grouped data is _______
(a) histogram
(b) frequency polygon
(c) pie chart
(d) all the three

Question 8.
Histogram is a graph of a _______ frequency distribution.
(a) continuous
(b) discontinuous
(c) discrete
(d) none of these
Answer:
(a) continuous

Question 9.
A _______ is a line graph for the graphical representation of the continuous frequency distribution.
(a) frequency polygon
(b) histogram
(c) pie chart
(d) bar graph
Answer:
(a) frequency polygon

Question 10.
The graphical representation of grouped data is _______
(a) bar graph
(b) pictograph
(c) pie chart
(d) histogram
Answer:
(d) histogram

Students can Download Maths Chapter 1 Number System Ex 1.1 Questions and Answers, Notes Pdf, Samacheer Kalvi 7th Maths Book Solutions Guide Pdf helps you to revise the complete Tamilnadu State Board New Syllabus and score more marks in your examinations.

Tamilnadu Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 1 Number System Ex 1.1

Question 1.
Round each of the following decimals to the nearest whole number.
(i) 8.71
(ii) 26.01
(iii) 69.48
(iv) 103.72
(v) 49.84
(vi) 101.35
(vii) 39.814
(viii) 1.23
Solution.
(i) 8.71
Underlining the digit to be rounded 8.71. Since the digit next to the underlined digit, 7 which is greater than 5, adding 1 to the underlined digit.
Hence the nearest whole number 8.71 rounds to is 9.

(ii) 26.01
Underlining the digit to be rounded 26.01. Since the digit next to the underlined digit, 0 which is less than 5, the underlined digit 6 remains the same.
∴ The nearest whole number 26.01 rounds to is 26.

(iii) 69.48
Underlining the digit to be rounded 69.48. Since the digit next to the underlined digit, 4 which is less than 5, the underlined digit 9 remains the same.
∴ The whole number is 69.48 rounds to is 69.

(iv) 103.72
Underlining the digit to be rounded 103.72 since the digit next to the underlined digit, 7 which is greater than 5, we add 1 to the under lined digit.
Hence the nearest whole number 103.72 rounds to is 104.

(v) 49.84
Underlining the digit to be rounded 49.84. Since the digit next to the underlined digit 8 which is greater than 5, we add 1 to the underlined digit.
Hence the nearest whole number 49.84 rounds to 50.

(vi) 101.35
Underlining the digit to be rounded 101.35. Since the digit next to the underlined digit 3 is less than 5, the underlined digit 1 remains the same.
Hence the nearest whole number 101.35 rounds to is 101.

(vii) 39.814
Underlining the digit to be rounded 39.814. Since the digit next to the underlined digit 8 is greater than 5, we add 1 to the underlined digit.
Hence the nearest whole number 39.814 rounds to is 40.

(viii) 1.23
Underlining the digit to be rounded 1.23. Since the digit next to the underlined digit 2, is less than 5, the underlined digit 1 remains the same.
Hence the nearest whole number 1.23 rounds to is 1.

Question 2.
Round each decimal number to the given place value.
(i) 5.992; tenths place
(ii) 21.805; hundredth place
(iii) 35.0014; thousandth place
Solution:
(i) 992; tenths place
Underlining the digit to be rounded 5.992. Since the digit next to the underlined digit is 9 greater than 5, we add 1 to the underlined digit.
Hence the rounded number is 6.0.

(ii) 21.805; hundredth place
Underlining the digit to be rounded 21.805 since the digit next to the underlined digit is 5, we add 1 to the underlined digit.
Hence the rounded number is 21.81.

(iii) 35.0014; thousandth place
Underlining the digit to be rounded 35.0014. Since the digit next to the underlined digit is 4 less than 5 the underlined digit remains the same.
Hence the rounded number is 35.001.

Question 3.
Round the following decimal numbers upto 1 places of decimal.
(i) 123.37
(ii) 19.99
(iii) 910.546
Solution:
(i) 123.37
Rounding 123.37 upto one places of decimal means round to the nearest tenths place. Underling the digit in the tenths place of 123.37 gives 123.37. Since the digit next to the tenth place value is 7 which is greater than 5, we add 1 to the underlined digit to get 123.4. Hence the rounded value of 123.37 upto one places of decimal is 123.4.

(ii) 19.99
Rounding 19.99 upto one places of decimal means round to the nearest tenth place. Underling the digit in the tenths place of 19.99 gives 19.99. Since the digit next to the tenth place value is 9 which is greater than 5, we add 1 to the underlined digit to get 20.
Hence the rounded value of 19.99 upto one places of decimal is 20.0.

(iii) 910.546
Rounding 910.546 upto one places of decimal means round to the nearest tenths place underlining the digit in the tenths place of 910.546 gives 910.546. Since the digit next to the tenth place value is 4, which is less than 5 the underlined digit remains the same. Hence the rounded value of 910.546 upto one places of decimal is 910.5.

Question 4.
Round the following decimal numbers upto 2 places of decimal.
(i) 87.755
(ii) 301.513
(iii) 79.997
Solution:
(i) 87.755
Rounding 87.755 upto 2 places of decimal means round to the nearest hundredths place. Underlining the digit in the hundredth place of 87.755 gives 87.755. Since the digit next to the hundredth place value is 5, we add 1 to the underlined digit.

Hence the rounded value of 87.755 upto two places of decimal is 87.76.

(ii) 301.513
Rounding 301.51 upto 2 places of decimal means round to the nearest hundredths place. Underlining the digit in the hundredth place of 301.513 gives 301.513. Since the digit next to the underlined digit 3 is less than 5, the underlined digit remains the same.

∴ The rounded value of 301.513 upto 2 places of decimal is 301.51.

(iii) 79.997
Rounding 79.997 upto 2 places of decimal means round to the nearest hundredths place. Underlining the digit in the hundredth place of 79.997 gives 79.997. Since the digit next to the underlined digit 7 is greater than 5, we add 1 to the underlined number.

Hence the rounded value of 79.997 upto 2 places of decimal is 80.00.

Question 5.
Round the following decimal numbers upto 3 place of decimal
(a) 24.4003
(b) 1251.2345
(c) 61.00203
Solution:
(a) 24.4003
Rounding 24.4003 upto 3 places of decimal means rounding to the nearest thousandths place. Underlining the digit in the thousandths place of 24.4003 gives 24.4003. In 24.4003 the digit next to the thousandths value is 3 which is less than 5.

∴ The underlined digit remains the same. So the rounded value of24.4003 upto 3 places of decimal is 24.400.

(b) 1251.2345
Rounding 1251.2345 upto 3 places of decimal means rounding to the nearest thousandths place. Underlining the digit in the thousandths place of 1251.2345 gives 1251.2345, the digit next to the thousandths place value is 5 and so we add 1 to the underlined digit. So the rounded value of 1251.2345 upto 3 places of decimal is 1251.235.

(c) 61.00203
Rounding 61.00203 upto 3 places of decimal means rounding to the nearest thousandths place. Underlining the digit in the thousandth place of 61.00203 gives 61.00203. In 61.00203, the digit next to the thousandths place value is 0, which is less than 5.

Hence the underlined digit remains the same. So the rounded value of 61.00203 upto 3 places of decimal is 61.002.