### Exercise-2.1

### Exercise-2.2

### Chapter Fractions and Decimals Exercise-2.3

### Fractions and Decimals Exercise-2.4

### Fractions and Decimals Exercise-2.5

### Fractions and Decimals Exercise-2.6

Question 1:

Find:

- 0.2 × 6
- 8 × 4.6
- 2.71 × 5
- 20.1 × 4
- 0.05 × 7
- 211.02 × 4
- 2 × 0.86

Solution:

(i) 0.2 × 6

∵ 2 × 6 = 12 and we have 1 digit right to the decimal point in 0.2.

Thus 0.2 × 6 = 1.2

(ii) 8 × 4.6

∵ 8 × 46 = 368 and there is one digit right to the decimal point in 4.6.

Thus 8 × 4.6 = 36.8

(iii) 2.71 × 5

∵ 271 × 5 = 1355 and there are two digits right to the decimal point in 2.71.

Thus 2.71 × 5 = 13.55

(iv) 20.1 × 4

∵ 201 × 4 = 804 and there is one digit right to the decimal point in 20.1.

∵ 20.1 × 4 = 80.4

(v) 0.05 × 7

∵ 5 × 7 = 35 and there are 2 digits right to the decimal point in 0.05.

Thus 0.05 × 7 = 0.35

(vi) 211.02 × 4

∵ 21102 × 4 = 84408 and there are 2 digits right to the decimal point in 211.02.

Thus 211.02 × 4 = 844.08

(vii) 2 × 0.86

∵ 2 × 86 = 172 and there are 2 digits right to the decimal point in 0.86.

Thus 2 × 0.86 = 1.72

Question 2:

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

Answer:

Length = 5.7 cm

Breadth = 3 cm

Area of rectangle = length × breadth

= 5.7 × 3 = 17.1 cm^{2}

Hence, the required area =17.1 cm^{2}

Question 3:

Find:

- 1.3 × 10
- 36.8 × 10
- 153.7 × 10
- 168.07 × 10
- 31.1 × 100
- 156.1 × 100
- 3.62 × 100
- 43.07 × 100
- 0.5 × 10
- 0.08 × 10
- 0.9 × 100
- 0.03 × 1000