**NCERT
Solutions for Class 7 Maths Chapter 2 Fractions and Decimals Ex 2.6**

NCERT Solutions for Class 7 Maths Chapter 2 Fractions and
Decimals Ex 2.6 are the part of NCERT Solutions for Class 7 Maths. Here you can
find the NCERT Solutions for Class 7 Maths Chapter 2 Fractions and Decimals Ex
2.6.

**NCERT Solutions for Class 7 Maths Chapter 2 Fractions and Decimals Ex 2.1****NCERT Solutions for Class 7 Maths Chapter 2 Fractions and Decimals Ex 2.2****NCERT Solutions for Class 7 Maths Chapter 2 Fractions and Decimals Ex 2.3****NCERT Solutions for Class 7 Maths Chapter 2 Fractions and Decimals Ex 2.4****NCERT Solutions for Class 7 Maths Chapter 2 Fractions and Decimals Ex 2.5****NCERT Solutions for Class 7 Maths Chapter 2 Fractions and Decimals Ex 2.6****NCERT Solutions for Class 7 Maths Chapter 2 Fractions and Decimals Ex 2.7**

**Ex 2.6 Class 7 Maths Question 1.**

Find:(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

**Solution:
**(i) 0.2 × 6

∵ 2 × 6 = 12

We have 1 decimal place in 0.2.

Thus, 0.2 × 6 = 1.2

(ii) 8 × 4.6

∵ 8 × 46 = 368

We have one decimal place in 4.6.

Thus, 8 × 4.6 = 36.8

(iii) 2.71 × 5

∵ 271 × 5 = 1355

We have two decimal places in 2.71.

Thus, 2.71 × 5 = 13.55

(iv) 20.1 × 4

∵ 201 × 4 = 804

We have one decimal place in 20.1.

Thus, 20.1 × 4 = 80.4

(v) 0.05 × 7

∵ 5 × 7 = 35

We have 2 decimal places in 0.05.

Thus, 0.05 × 7 = 0.35

(vi) 211.02 × 4

∵ 21102 × 4 = 84408

We have 2 decimal places in 211.02.

Thus, 211.02 × 4 = 844.08

(vii) 2 × 0.86

∵ 2 × 86 = 172

We have 2 decimal places in 0.86.

Thus, 2 × 0.86 = 1.72

**Ex 2.6 Class 7 Maths Question 2.**

Find the area of rectangle whose length is 5.7 cm
and breadth is 3 cm.**Solution:
**Length of the rectangle = 5.7 cm

Breadth of the rectangle = 3 cm

Area of a rectangle = length × breadth

= 5.7 × 3 = 17.1 cm

^{2}

Hence, the area of the rectangle is 17.1 cm

^{2}.

**Ex 2.6 Class 7 Maths Question 3.**

Find:(i) 1.3 × 10

(ii) 36.8 × 10

(iii) 153.7 × 10

(iv) 168.07 × 10

(v) 31.1 × 100

(vi) 156.1 × 100

(vii) 3.62 × 100

(viii) 43.07 × 100

(ix) 0.5 × 10

(x) 0.08 × 10

(xi) 0.9 × 100

(xii) 0.03 × 1000

**Solution:**

**Ex 2.6 Class 7 Maths Question 4.**

A two-wheeler covers a distance of 55.3 km in one litre
of petrol. How much distance will it cover is 10 litres of petrol?**Solution:
**Distance covered in 1 litre of petrol = 55.3 km

Distance covered in 10 litres of petrol = 55.3 × 10 km

Hence, the distance covered by the two-wheeler is 553 km.

**Ex 2.6 Class 7 Maths Question 5.**

Find:(i) 2.5 × 0.3

(ii) 0.1 × 51.7

(iii) 0.2 × 316.8

(iv) 1.3 × 3.1

(v) 0.5 × 0.05

(vi) 11.2 × 0.15

(vii) 1.07 × 0.02

(viii) 10.05 × 1.05

(ix) 101.01 × 0.01

(x) 100.01 × 1.1

**Solution:
**(i) 2.5 × 0.3

∵ 25 × 3 = 75

There is 1 decimal place in 2.5 and 1 decimal place
in 0.3. Hence, the product will have two (1 + 1 = 2) decimal places.

Thus, 2.5 × 0.3 = 0.75

(ii) 0.1 × 51.7

∵ 1 × 517 = 517

There is 1 decimal place in 0.1 and 1 decimal place
in 51.7. Hence, the product will have two (1 + 1 = 2) decimal places.

Thus, 0.1 × 51.7 = 5.17

(iii) 0.2 × 316.8

∵ 2 × 3168 = 6336

There is 1 decimal place in 0.2 and 1 decimal place
in 316.8. Hence, the product will have two (1 + 1 = 2) decimal places.

Thus, 0.2 × 316.8 = 63.36

(iv) 1.3 × 3.1

∵ 13 × 31 = 403

There is 1 decimal place in 1.3 and 1 decimal place
in 3.1. Hence, the product will have two (1 + 1 = 2) decimal places.

Thus, 1.3 × 3.1 = 4.03

(v) 0.5 × 0.05

∵ 5 × 5 = 25

There is 1 decimal place in 0.5 and 2 decimal places
in 0.05. Hence, the product will have three (1 + 2 = 3) decimal places.

Thus, 0.5 × 0.05 = 0.025

(vi) 11.2 × 0.15

∵ 112 × 15 = 1680

There is 1 decimal place in 11.2 and 2 decimal
places in 0.15. Hence, the product will have three (1 + 2 = 3) decimal places.

Thus, 11.2 × 0.15 = 1.680

(vii) 1.07 × 0.02

∵ 107 × 2 = 214

There are 2 decimal places in 1.07 and 2 decimal
places in 0.02. Hence, the product will have four (2 + 2 = 4) decimal places.

Thus, 1.07 × 0.02 = 0.0214

(viii) 10.05 × 1.05

∵ 1005 × 105 = 105525

There are 2 decimal places in 10.05 and 2 decimal
places in 1.05. Hence, the product will have four (2 + 2 = 4) decimal places.

Thus, 10.05 × 1.05 = 10.5525

(ix) 101.01 × 0.01

∵ 10101 × 1 = 10101

There are 2 decimal places in 101.01 and 2 decimal
places in 0.01. Hence, the product will have four (2 + 2 = 4) decimal places.

Thus, 101.01 × 0.01 = 1.0101

(x)
100.01 × 1.1

∵ 10001 × 11 = 110011

There are 2 decimal places in 100.01 and 1 decimal
place in 1.1. Hence, the product will have three (2 + 1 = 3) decimal places.

Thus,
100.01 × 1.1 = 110.011

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