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## Tamilnadu Samacheer Kalvi 6th Maths Solutions Term 2 Chapter 5 Information Processing Ex 5.1

Question 1.

Convert the following numerical expressions into Tree diagrams.

(i) 8 + (6 × 2)

(ii) 9 – (2 × 3)

(iii) (3 × 5) – (4 ÷ 2)

(iv) [(2 × 4) + 2] × (8 ÷ 2)

(v) [(6 + 4) × 7] ÷ [2 × (10 – 5)]

(vi) [(4 × 3) ÷ 2] + [8 × (5 – 3)]

Solution:

(i) 8 + (6 × 2)

(ii) 9 – (2 × 3)

(iii) (3 × 5) – (4 ÷ 2)

(iv) [(2 × 4) + 2] × (8 ÷ 2)

(v) [(6 + 4) × 7] ÷ [2 × (10 – 5)]

(vi) [(4 × 3) ÷ 2] + [8 × (5 – 3)]

The first expression goes to the right side branch. So that the value does not change.

Question 2.

Convert the following Tree diagrams into numerical expressions.

Solution:

(i) The numerical Expression is 9 × 8

(ii) The numerical expression is (7 + 6) – 5

(iii) The numerical expression is (8 + 2) – (6 + 1)

(iv) The numerical expression is (5 × 6) – (10 ÷ 2)

Question 3.

Convert the following algebraic expressions into tree diagrams.

(i) 10 V

(ii) 3a – b

(iii) 5x + y

(iv) 20t × p

(v) 2(a + b)

(vi) (x × y) – (y × z)

(vii) 4x + 5y

(viii) (lm – n) ÷ (pq + r)

Solution:

(i) 10 V

(ii) 3a – b

(iii) 5x + y

(iv) 20t × p

(v) 2(a + b)

(vi) (x × y) – (y × z)

(vii) 4x + 5y

(viii) (lm – n) ÷ (pq + r)

Question 4.

Convert tree diagram into Algebraic expression.

Solution:

(i) Algebraic Expression is p + q

(ii) Algebraic Expression is l – m

(iii) Algebraic Expression is (a × b) – c (or) (ab) – c

(iv) Algebraic Expression is (a + b) – (c + d)

(v) Algebraic Expression is (8 ÷ a) + [ (6 ÷ 4) + 3]