## Chapter 2 Fractions and Decimals Exercise 2.6

**Question 1: Find: (i) 0.2 × 6 Answer:**= 2/10 × 6

= 12/10

= 1.2

**(ii) 8 × 4.6**

Answer:

Answer:

= 8 × 46/10

= 368/10

= 36.8

**(iii) 2.71 × 5**

Answer:

Answer:

= 271/100 × 5

= 1355/100

= 13.55

**(iv) 20.1 × 4**

Answer:

Answer:

= 201/10 × 4

= 804/10

= 80.4

**(v) 0.05 × 7**

Answer:

Answer:

= 5/100 × 7

= 35/100

= 0.35

**(vi) 211.02 × 4**

Answer:

Answer:

= 21102/100 × 4

= 84408/100

= 844.08

**(vii) 2 × 0.86**

Answer:

Answer:

= 2 × 86/100

= 172/100

= 1.72

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

Answer:

Answer:

Length of the rectangle = 5.7 cm

Breadth of the rectangle = 3 cm

Area of the rectangle = length × breadth

= 5.7 × 3

= 17.1 cm2

**Question 3: Find:**

(i) 1.3 × 10

Answer:

(i) 1.3 × 10

Answer:

= 1.3 × 10 = 13

**(ii) 36.8 × 10**

Answer:

Answer:

= 36.8 × 10 = 368

**(iii) 153.7 × 10**

Answer:

Answer:

= 153.7 × 10 = 1537

**(iv) 168.07 × 10**

Answer:

Answer:

= 168.07 × 10 = 1680.7

**(v) 31.1 × 100**

Answer:

Answer:

= 31.1 × 100 = 3110

**(vi) 156.1 × 100**

Answer:

Answer:

= 156.1 × 100 = 15610

**(vii) 3.62 × 100**

Answer:

Answer:

= 3.62 × 100 = 362

**(viii) 43.07 × 100**

Answer:

Answer:

= 43.07 × 100 = 4307

**(ix) 0.5 × 10**

Answer:

Answer:

= 0.5 × 10 = 5

**(x) 0.08 × 10**

Answer:

Answer:

= 0.08 × 10 = 0.8

**(xi) 0.9 × 100**

Answer:

Answer:

= 0.9 × 100 = 90

**(xii) 0.03 × 1000**

Answer:

Answer:

= 0.03 × 1000 = 30

**Question 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?**

Answer:

Answer:

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

Distance covered by two wheeler in 10 litre of petrol = ?

= 10 × 55.3

= 553 km

Therefore, two-wheeler covers a distance in 10L of petrol is 553 km.

**Question 5: Find:**

(i) 2.5 × 0.3

Answer:

(i) 2.5 × 0.3

Answer:

= 25/10 × 3/10

= 75/100

= 0.75

**(ii) 0.1 × 51.7**

Answer:

Answer:

= 1/10 × 517/10

= 517/100

= 5.17

**(iii) 0.2 × 316.8**

Answer:

Answer:

= 2/10 × 3168/10

= 6336/100

= 63.36

**(iv) 1.3 × 3.1**

Answer:

Answer:

= 13/10 × 31/10

= 403/100

= 4.03

**(v) 0.5 × 0.05**

Answer:

Answer:

= 5/10 × 5/100

= 25/1000

= 0.025

**(vi) 11.2 × 0.15**

Answer:

Answer:

= 112/10 × 15/100

= 1680/1000

= 1.680

**(vii) 1.07 × 0.02**

Answer:

Answer:

= 107/100 × 2/100

= 214/10000

= 0.0214

**(viii) 10.05 × 1.05**

Answer:

Answer:

= 1005/100 × 105/100

= 105525/10000

= 10.5525

**(ix) 101.01 × 0.01**

Answer:

Answer:

= 10101/100 × 1/100

= 10101/10000

= 1.0101

**(x) 100.01 × 1.1**

Answer:

Answer:

= 10001/100 × 11/10

= 110011/1000

= 110.011

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