# NCERT Solutions for Class 7 Maths Exercise 2.6 Chapter 2 Fractions and Decimals

NCERT Solutions for Class 7 Maths Exercise 2.6 Chapter 2 Fractions and Decimals in simple PDF are given in this article. This exercise of NCERT Solutions for Class 7 Chapter 2 contains topics related to the multiplication of decimal numbers and multiplication of decimal numbers by 10, 100 and 1000. When a decimal number is multiplied by 10, 100 or 1000, the digits in the product are the same as in the decimal number, but the decimal point in the product is shifted to the right by as many places as there are zeros over one. To cover the entire syllabus in Maths, the NCERT Solutions for Class 7 Maths Chapter 2 Fractions and Decimals is a necessary study material as it gives a wide range of questions that test the studentâ€™s understanding of concepts.

## NCERT Solutions for Class 7 Maths Chapter 2 Fractions and Decimals â€“ Exercise 2.6

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### Access answers to Maths NCERT Solutions for Class 7 Chapter 2 â€“ Fractions and Decimals Exercise 2.6

1. Find:

(i) 0.2 Ã— 6

Solution:-

We have,

= (2/10) Ã— 6

= (12/10)

On dividing a decimal by 10, the decimal point is shifted to the left by one place.

Then,

= 1.2

(ii) 8 Ã— 4.6

Solution:-

We have,

= (8) Ã— (46/10)

= (368/10)

On dividing a decimal by 10, the decimal point is shifted to the left by one place.

Then,

= 36.8

(iii) 2.71 Ã— 5

Solution:-

We have,

= (271/100) Ã— 5

= (1355/100)

On dividing a decimal by 100, the decimal point is shifted to the left by two places.

Then,

= 13.55

(iv) 20.1 Ã— 4

Solution:-

We have,

= (201/10) Ã— 4

= (804/10)

On dividing a decimal by 10, the decimal point is shifted to the left by one place.

Then,

= 80.4

(v) 0.05 Ã— 7

Solution:-

We have,

= (5/100) Ã— 7

= (35/100)

On dividing a decimal by 100, the decimal point is shifted to the left by two places.

Then,

= 0.35

(vi) 211.02 Ã— 4

Solution:-

We have,

= (21102/100) Ã— 4

= (84408/100)

On dividing a decimal by 100, the decimal point is shifted to the left by two places.

Then,

= 844.08

(vii) 2 Ã— 0.86

Solution:-

We have,

= (2) Ã— (86/100)

= (172/100)

On dividing a decimal by 100, the decimal point is shifted to the left by two places.

Then,

= 1.72

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

Solution:-

From the question,

Length of the rectangle = 5.7 cm

Breadth of the rectangle = 3 cm

Then,

Area of the rectangle = length Ã— Breadth

= 5.7 Ã— 3

= 17.1 cm2

3. Find:

(i) 1.3 Ã— 10

Solution:-

On multiplying a decimal by 10, the decimal point is shifted to the right by one place.

We have,

= 1.3 Ã— 10 = 13

(ii) 36.8 Ã— 10

Solution:-

On multiplying a decimal by 10, the decimal point is shifted to the right by one place.

We have,

= 36.8 Ã— 10 = 368

(iii) 153.7 Ã— 10

Solution:-

On multiplying a decimal by 10, the decimal point is shifted to the right by one place.

We have,

= 153.7 Ã— 10 = 1537

(iv) 168.07 Ã— 10

Solution:-

On multiplying a decimal by 10, the decimal point is shifted to the right by one place.

We have,

= 168.07 Ã— 10 = 1680.7

(v) 31.1 Ã— 100

Solution:-

On multiplying a decimal by 100, the decimal point is shifted to the right by two places.

We have,

= 31.1 Ã— 100 = 3110

(vi) 156.1 Ã— 100

Solution:-

On multiplying a decimal by 100, the decimal point is shifted to the right by two places.

We have,

= 156.1 Ã— 100 = 15610

(vii) 3.62 Ã— 100

Solution:-

On multiplying a decimal by 100, the decimal point is shifted to the right by two places.

We have,

= 3.62 Ã— 100 = 362

(viii) 43.07 Ã— 100

Solution:-

On multiplying a decimal by 100, the decimal point is shifted to the right by two places.

We have,

= 43.07 Ã— 100 = 4307

(ix) 0.5 Ã— 10

Solution:-

On multiplying a decimal by 10, the decimal point is shifted to the right by one place.

We have,

= 0.5 Ã— 10 = 5

(x) 0.08 Ã— 10

Solution:-

On multiplying a decimal by 10, the decimal point is shifted to the right by one place.

We have,

= 0.08 Ã— 10 = 0.8

(xi) 0.9 Ã— 100

Solution:-

On multiplying a decimal by 100, the decimal point is shifted to the right by two places.

We have,

= 0.9 Ã— 100 = 90

(xii) 0.03 Ã— 1000

Solution:-

On multiplying a decimal by 1000, the decimal point is shifted to the right by three places.

We have,

= 0.03 Ã— 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:-

It is given that,

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

Then,

Distance covered by two-wheeler in 10 litres of petrol = (10 Ã— 55.3)

= 553 km

âˆ´ The two-wheeler will cover a distance of 553 km in 10 litres of petrol.

5. Find:

(i) 2.5 Ã— 0.3

Solution:-

We have,

= (25/10) Ã— (3/10)

= (75/100)

On dividing a decimal by 100, the decimal point is shifted to the left by two places.

Then,

= 0.75

(ii) 0.1 Ã— 51.7

Solution:-

We have,

= (1/10) Ã— (517/10)

= (517/100)

On dividing a decimal by 100, the decimal point is shifted to the left by two places.

Then,

= 5.17

(iii) 0.2 Ã— 316.8

Solution:-

We have,

= (2/10) Ã— (3168/10)

= (6336/100)

On dividing a decimal by 100, the decimal point is shifted to the left by two places.

Then,

= 63.36

(iv) 1.3 Ã— 3.1

Solution:-

We have,

= (13/10) Ã— (31/10)

= (403/100)

On dividing a decimal by 100, the decimal point is shifted to the left by two places.

Then,

= 4.03

(v) 0.5 Ã— 0.05

Solution:-

We have,

= (5/10) Ã— (5/100)

= (25/1000)

On dividing a decimal by 1000, the decimal point is shifted to the left by three places.

Then,

= 0.025

(vi) 11.2 Ã— 0.15

Solution:-

We have,

= (112/10) Ã— (15/100)

= (1680/1000)

On dividing a decimal by 1000, the decimal point is shifted to the left by three places.

Then,

= 1.680

(vii) 1.07 Ã— 0.02

Solution:-

We have,

= (107/100) Ã— (2/100)

= (214/10000)

On dividing a decimal by 10000, the decimal point is shifted to the left by four places.

Then,

= 0.0214

(viii) 10.05 Ã— 1.05

Solution:-

We have,

= (1005/100) Ã— (105/100)

= (105525/10000)

On dividing a decimal by 10000, the decimal point is shifted to the left by four places.

Then,

= 10.5525

(ix) 101.01 Ã— 0.01

Solution:-

We have,

= (10101/100) Ã— (1/100)

= (10101/10000)

On dividing a decimal by 10000, the decimal point is shifted to the left by four places.

Then,

= 1.0101

(x) 100.01 Ã— 1.1

Solution:-

We have,

= (10001/100) Ã— (11/10)

= (110011/1000)

On dividing a decimal by 1000, the decimal point is shifted to the left by three places.

Then,

= 110.011

### Access Other Exercises of NCERT Solutions for Class 7 Chapter 2 â€“ Fractions and Decimals

Exercise 2.1 Solutions

Exercise 2.2 Solutions

Exercise 2.3 Solutions

Exercise 2.4 Solutions

Exercise 2.5 Solutions

Exercise 2.7 Solutions

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NCERT Solutions for Class 7 Maths

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