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7th class > Fractions and Decimals > Exercise 2.4

Exercise 2.4

1. Find:

Instruction

(i) 0.2 × 6 =
(ii) 8 × 4.6 =
(iii) 2.71 × 5 =
(iv) 20.1 × 4 =
(v) 0.05 × 7 =
(vi) 211.02 × 4 =
(vii) 2 × 0.86 =

2.Find the area of rectangle whose length is 5.7 cm and breadth is 3 cm

Solution:

We use the formula for area of the rectangle and concept of decimals to solve the question.

Length of rectangle = cm

Breadth of rectangle = cm

Thus, Area of rectangle = Length × Breadth = 5.7 × 3 =

Thus, the area of rectangle is 17.1cm2.

3.Find:

(i)-(iv)

(i) 1.3 × 10 =

(ii) 36.8 × 10 =

(iii) 153.7 × 10 =

(iv) 168.07 × 10 =

(v)-(viii)

(v) 31.1 × 100 =

(vi) 156.1 × 100 =

(vii) 3.62 × 100 =

(viii) 43.07 × 100 =

(ix)-(xii)

(ix) 0.5 × 10 =

(x) 0.08 × 10 =

(xi) 0.9 × 100 =

(xii) 0.03 × 1000 =

4.A two-wheeler covers a distance of 55.3 km in one litre of petrol. How much distance will it cover in 10 litres of petrol?

Solution:

By using Unitary Method, we can simply 55.3 by 10 to get the answer.

Distance covered by two-wheeler in 1 litre of petrol = 55.3 km

Distance covered using 10 liters of petrol = 55.3 × 10 = km

Therefore, it will cover a distance of 553.0 km in 10 liters of petrol.

5.Find:

(i)-(v)

(i) 2.5 × 0.3 = × (Enter fraction form)

= 25×3100 = (Enter fraction form)

= (Enter decimal form)

(ii) 0.1 × 51.7 = × (Enter fraction form)

= 1×517100 = (Enter fraction form)

= (Enter decimal form)

(iii) 0.2 × 316.8 = × (Enter fraction form)

= 2×3168100 = (Enter fraction form)

= (Enter decimal form)

(iv) 1.3 × 3.1 = × (Enter fraction form)

= 13×31100 = (Enter fraction form)

= (Enter decimal form)

(v) 0.5 × 0.05 = × (Enter fraction form)

= 5×51000 = (Enter fraction form)

= (Enter decimal form)

(vi)-(x)

(vi) 11.2 × 0.15 = × (Enter fraction form)

= 112×151000 = (Enter fraction form)

= (Enter decimal form)

(vii) 1.07 × 0.02 = × (Enter fraction form)

= 107×210000 = (Enter fraction form)

= (Enter decimal form)

(viii) 10.05 × 1.05 = × (Enter fraction form)

= 1005×10510000 = (Enter fraction form)

= (Enter decimal form)

(ix) 101.01 × 0.01 = × (Enter fraction form)

= 10101×110000 = (Enter fraction form)

= (Enter decimal form)

(x) 100.01 × 1.1 = × (Enter fraction form)

= 10001×111000 = (Enter fraction form)

= (Enter decimal form)