Exercise 5.1

Exercise 5.1

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)]

2. Convert the following Tree diagrams into numerical expressions.

Answer:

i. 9 × 8

ii. (7 + 6) - 5

iii. (8 + 2) - (6 + 1)

iv. (5 × 6) - (10 ÷ 2)

3. Convert the following algebraic expressions into tree diagrams.

(i) 10v

(ii) 3a − b

(iii) 5x + y

(iv) 20t × p

(v) 2(a+b)

(vi) (x × y) − (y × z )

(vii) 4 x + 5y

(viii) (lm − n) ÷ (pq + r)

4. Convert Tree diagrams into Algebraic expressions.

Answer:

(i) p+q

(ii) l−m

(iii) (ab)−c

(iv) (a+b)−(c+d)

(v) 8/a + (b/4 + 3)

ANSWERS:

Exercise 5.1

1) 

2) i. 9 × 8 ii. (7+6)-5 iii. (8+2)-(6+1) iv. (5 × 6) − (10 ÷ 2)

3) 

4) Algebraic expression

(i) p+q (ii) l−m (iii) (ab)−c (iv) (a+b)−(c+d) (v) 8/a + (b/4 + 3)