**1.Find:**

**(i) 0.2 × 6**

**Solution:**

First, we multiply 2 **× ** 6 = 12

Now, put the decimal point from 1 digit right because we have decimal point from one digit in 0.2

Hence, 0.2 **× ** 6 = 1.2

**(ii) 8 × 4.6**

**Solution:**

First, we multiply 8 **× ** 46 = 368

Now, put the decimal point from 1 digit right because we have decimal point from one digit in 4.6

Hence, 8 **× ** 4.6 = 36.8

**(iii) 2.71 × 5**

**Solution:**

First, we multiply 271 **× ** 5 = 1355

Now, put the decimal point from 2 digits right because we have decimal point from two digit in 2.71

Hence, 2.71 **× ** 5 = 13.55

**(iv) 20.1 × 4**

**Solution:**

First, we multiply 201 **× ** 4 = 804

Now, put the decimal point from 1 digit right because we have decimal point from one digit in 20.1

Hence, 20.1 **× ** 4 = 80.4

**(v) 0.05 × 7**

**Solution:**

First, we multiply 5 **× ** 7 = 35

Now, put the decimal point from 2 digits right because we have decimal point from two-digit in 0.05

Hence, 0.05 **× ** 7 = 0.35

**(vi) 211.02 × 4**

**Solution:**

First, we multiply 21102 **× ** 4 = 84408

Now, put the decimal point from 2 digits right because we have decimal point from two-digit in 211.02

Hence, 211.02 **× ** 4 = 844.08

**(vii) 2 × 0.86**

**Solution:**

First, we multiply 2 **× ** 86 = 172

Now, put the decimal point from 2 digits right because we have decimal point from two-digit in 0.86

Hence, 2 **× ** 0.86 = 1.72

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

**Solution:**

Given,

Length = 5.7 cm

breadth = 3 cm

Now,

Area of rectangle = length **×** breadth

= 5.7 cm **×** 3 cm

= 17.1 cm^{2}

Hence, requird area is 17.1 cm^{2}

**3. Find:**

**(i) 1.3 × 10**

**Solution:**

When we multiply a decimal by 10, the point of decimal is shifted to the right by one place.

Thus,

1.3 **×** 10 = 13

**(ii) 36.8 × 10**

**Solution:**

When we multiply a decimal by 10, the point of decimal is shifted to the right by one place.

Thus,

36.8 **×** 10 = 368

**(iii) 153.7 × 10**

**Solution:**

When we multiply a decimal by 10, the point of decimal is shifted to the right by one place.

Thus,

153.7 **×** 10 = 1537

**(iv) 168.07 × 10**

**Solution:**

When we multiply a decimal by 10, the point of decimal is shifted to the right by one place.

Thus,

168.07 **×** 10 = 1680.7

**(v) 31.1 × 100**

**Solution:**

When we multiply a decimal by 100, the point of decimal is shifted to the right by two places.

Thus,

31.1 **×** 100 = 3110.0

= 3110

**(vi) 156.1 × 100**

**Solution:**

When we multiply a decimal by 100, the point of decimal is shifted to the right by two places.

Thus,

156.1 **×** 100 = 15610.0

= 15610

**(vii) 3.62 × 100**

**Solution:**

When we multiply a decimal by 100, the point of decimal is shifted to the right by two places.

Thus,

3.62 **×** 100 = 362

**(viii) 43.07 × 100**

**Solution:**

When we multiply a decimal by 100, the point of decimal is shifted to the right by two places.

Thus,

43.07 **×** 100 = 362

**(ix) 0.5 × 10**

**Solution:**

When we multiply a decimal by 10, the point of decimal is shifted to the right by one place.

Thus,

0.5 **×** 10 = 5

**(x) 0.08 × 10**

**Solution:**

When we multiply a decimal by 10, the point of decimal is shifted to the right by one place.

Thus,

0.08 **×** 10 = 0.8

**(xi) 0.9 × 100**

**Solution:**

When we multiply a decimal by 100, the point of decimal is shifted to the right by two places.

Thus,

0.9 **×** 100 = 90

**(xii) 0.03 × 1000**

**Solution:**

When we multiply a decimal by 1000, the point of decimal is shifted to the right by three places.

Thus,

0.03 **×** 1000 = 30

**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:**

Given,

Distance covered by a two-wheeler in 1-litre petrol = 55.3 Km

Now,

Distance covered by a two-wheeler in 10-litre petrol = 10 **×** 55.3

= 553 km

**5. Find:**

**(i) 2.5 × 0.3**

**Solution:**

**(ii) 0.1 × 51.7**

**Solution:**

**(iii) 0.2 × 316.8**

**Solution:**

**(iv) 1.3 × 3.1**

**Solution:**

**(v) 0.5 × 0.05**

**Solution:**

**(vi) 11.2 × 0.15**

**Solution:**

**(vii) 1.07 × 0.02**

**Solution:**

**(viii) 10.05 × 1.05**

**Solution:**

**(ix) 101.01 × 0.01**

**Solution:**

**(x) 100.01 × 1.1**

**Solution:**