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## Tamilnadu Samacheer Kalvi 6th Maths Solutions Term 2 Chapter 5 Information Processing Intext Questions

Question 1.

Check whether the Tree diagrams are equal or not.

Solution:

(i) Their algebraic expressions are a × (b – c) and (a × b) – (a × c)

∴ distributive property of multiplication over subtraction

∴ They are equal

(ii) Their algebraic expressions are a × (b – c) and (a × b) – c

Both are not equal [By BODMAS rule]

Question 2.

Check whether the following algebraic expressions are equal or not by using Tree diagrams.

(i) (x + y) + z and x + (y + z)

(ii) (p × q) × r and p × (q × r)

(iii) a – (b – c) and (a – b) – c

Solution:

(i) (x + y) + z and x + (y + z)

The tree diagrams are

Subtraction is not associative and the expressions are not equal.

(ii) (p × q) × r and p × (q × r)

The tree diagram is

Multiplication is associative

∴ Both expressions are equal.

(iii) a – (b – c) and (a – b) – c

Their tree diagrams are

Subtraction is not associative

∴ Both expressions are not equal.