NCERT Class 7 Maths Chapter 2 Fractions and Decimals Exercise 2.7

Chapter 2 Fractions and Decimals Exercise 2.7

Question 1: Find:
(i) 0.4 ÷ 2
Answer:

= 4/10 ÷ 2
= 4/10 × 1/2
= 4/20
= 2/10
= 0.2

(ii) 0.35 ÷ 5
Answer:

= 35/100 ÷ 5
= 35/100 × 1/5
= 35/500
= 7/100
= 0.07

(iii) 2.48 ÷ 4
Answer:

= 248/100 ÷ 4
= 248/100 × 1/4
= 248/400
= 62/100
= 0.62

(iv) 65.4 ÷ 6
Answer:

= 654/10 ÷ 6
= 654/10 × 1/6
= 654/60
= 109/10
= 10.9

(v) 651.2 ÷ 4
Answer:

= 6512/10 ÷ 4
= 6512/10 × 1/4
= 6512/40
= 1628/10
= 162.8

(vi) 14.49 ÷ 7
Answer:

= 1449/100 ÷ 7
= 1449/100 × 1/7
= 1449/700
= 207/100
= 2.07

(vii) 3.96 ÷ 4
Answer:

= 396/100 ÷ 4
= 396/100 × 1/4
= 396/400
= 99/100
= 0.99

(viii) 0.80 ÷ 5
Answer:

= 80/100 ÷ 5
= 80/100 × 1/5
= 80/500
= 16/100
= 0.16

Question 2: Find:
(i) 4.8 ÷ 10
Answer:

= 4.8 ÷ 10
= 4.8/10
= 0.48

(ii) 52.5 ÷ 10
Answer:

= 52.5 ÷ 10
= 52.5/10
= 5.25

(iii) 0.7 ÷ 10
Answer:

= 0.7 ÷ 10
= (0.7/10)
= 0.07

(iv) 33.1 ÷ 10
Answer:

= 33.1 ÷ 10
= 33.1/10
= 3.31

(v) 272.23 ÷ 10
Answer:

= 272.23 ÷ 10
= 272.23/10
= 27.223

(vi) 0.56 ÷ 10
Answer:

= 0.56 ÷ 10
= 0.56/10
= 0.056

(vii) 3.97 ÷10
Answer:

= 3.97 ÷ 10
= 3.97/10
= 0.397

Question 3: Find:
(i) 2.7 ÷ 100
Answer:

= 2.7 ÷ 100
= 2.7/100
= 0.027

(ii) 0.3 ÷ 100
Answer:

= 0.3 ÷ 100
= 0.3/100
= 0.003

(iii) 0.78 ÷ 100
Answer:

= 0.78 ÷ 100
= 0.78/100
= 0.0078

(iv) 432.6 ÷ 100
Answer:

= 432.6 ÷ 100
= 432.6/100
= 4.326

(v) 23.6 ÷100
Answer:

= 23.6 ÷ 100
= 23.6/100
= 0.236

(vi) 98.53 ÷ 100
Answer:

= 98.53 ÷ 100
= 98.53/100
= 0.9853

Question 4: Find:
(i) 7.9 ÷ 1000
Answer:

= 7.9 ÷ 1000
= 7.9/1000
= 0.0079

(ii) 26.3 ÷ 1000
Answer:

= 26.3 ÷ 1000
= 26.3/1000
= 0.0263

(iii) 38.53 ÷ 1000
Answer:

= 38.53 ÷ 1000
= 38.53/1000
= 0.03853

(iv) 128.9 ÷ 1000
Answer:

= 128.9 ÷ 1000
= 128.9/1000
= 0.1289

(v) 0.5 ÷ 1000
Answer:

= 0.5 ÷ 1000
= 0.5/1000
= 0.0005

Question 5: Find:
(i) 7 ÷ 3.5
Answer:

= 7 ÷ 35/10
= 7 × 10/35
= 1 × 10/5
= 2

(ii) 36 ÷ 0.2
Answer:

= 36 ÷ 2/10
= 36 × 10/2
= 18 × 10
= 180

(iii) 3.25 ÷ 0.5
Answer:

= 325/100 ÷ 5/10
= 325/100 × 10/5
= 325 × 10/100 × 5
= 65 × 1/10 × 1
= 65/10
= 6.5

(iv) 30.94 ÷ 0.7
Answer:

= 3094/100 ÷ 7/10
= 3094/100 × 10/7
= 3094 × 10/100 × 7
= 442 × 1/10 × 1
= 442/10
= 44.2

(v) 0.5 ÷ 0.25
Answer:

= 5/10 ÷ 25/100
= 5/10 × 100/25
= 5 × 100/10 × 25
= 1 × 10/1 × 5
= 10/5
= 2

(vi) 7.75 ÷ 0.25
Answer:

= 775/100 ÷ 25/100
= 775/100 × 100/25
= 775 × 100/100 × 25
= 155 × 1/1 × 5
= 31 × 1/1 × 1
= 31

(vii) 76.5 ÷ 0.15
Answer:

= 765/10 ÷ 15/100
= 765/10 × 100/15
= 765 × 100/10 × 15
= 51 × 10/1 × 1
= 510

(viii) 37.8 ÷ 1.4
Answer:

= 378/10 ÷ 14/10
= 378/10 × 10/14
= 378 × 10/10 × 14
= 27 × 1/1 × 1
= 27

(ix) 2.73 ÷ 1.3
Answer:

= 273/100 ÷ 13/10
= 273/100 × 10/13
= 273 × 10)/100 × 13
= 21 × 1/10 × 1
= 21/10
= 2.1

Question 6: A vehicle covers a distance of 43.2 km in 2.4 litres of petrol. How much distance will it cover in one litre of petrol?
Answer:

Total distance covered by vehicle in 2.4 litres of petrol = 43.2 km
Distance covered in 1 litre of petrol = 43.2 ÷ 2.4
= 432/10 ÷ 24/10
= 432/10 × 10/24
= 432 × 10/10 × 24
= 36 × 1/1 × 2
= 18 × 1/1 × 1
= 18 km
Therefore, total distance covered in 1 litre of petrol is 18 km.

No comments:

Post a Comment

Also read!

Class 6 Solutions

• Class 7

Class 7 Computer Kips Solutions
Class 7 Gul Mohar English Solutions
English Grammar Class 7
English Writing Skills Class 7
Class 7 Map Pointing Solutions
Class 7 NCERT Civics Solutions
Class 7 NCERT Civics Notes
Class 7 NCERT Civics Extra Questions
Class 7 NCERT Geography Solutions
Class 7 NCERT Geography Notes
Class 7 NCERT Geography Extra Questions
Class 7 NCERT History Solutions
Class 7 NCERT History Notes
Class 7 NCERT History Extra Questions
Class 7 NCERT Maths Solutions
Class 7 NCERT Science Solutions
Class 7 NCERT Science Notes
Class 7 NCERT Science Extra Questions

• Class 8

Class 8 Kips Artificial Intelligence Solutions
Class 8 Gul Mohar English Solutions
English Grammar Class 8
English Writing Skills Class 8
Class 8 Map Pointing Solutions
Class 8 NCERT Civics Solutions
Class 8 NCERT Civics Notes
Class 8 NCERT Civics Extra Questions
Class 8 NCERT Geography Solutions
Class 8 NCERT Geography Notes
Class 8 NCERT Geography Extra Questions
Class 8 NCERT History Solutions
Class 8 NCERT History Notes
Class 8 NCERT History Extra Questions
Class 8 NCERT Maths Solutions
Class 8 NCERT Science Solutions
Class 8 NCERT Science Notes
Class 8 NCERT Science Extra Questions
Class 8 NCERT Science Exemplar
Class 8 NCERT Science MCQs

Class 9 Solutions

• Class 10

Class 10 Kips Artificial Intelligence Solutions
Class 10 NCERT English Solutions
→ Class 10 Map Pointing Solutions
Class 10 NCERT Civics Solutions
Class 10 NCERT Civics Notes
Class 10 NCERT Civics Extra Questions
Class 10 NCERT Geography Solutions
Class 10 NCERT Geography Notes
Class 10 NCERT Geography Extra Questions
Class 10 NCERT History Solutions
→ Class 10 NCERT History Notes
Class 10 NCERT History Extra Questions
Class 10 NCERT Maths Solutions
Class 10 NCERT Science Solutions
Class 10 NCERT Science Notes
Class 10 NCERT Science Extra Questions

• Computer languages
Python Basics

• Extra Activities
Extra Activities

• Extra Knowledge
Extra Information
General Knowledge
Historical Places in India
Latest technology
Physical Sciences
Facts

• Mathematics quick links
Mathematical Terms
Maths Tricks

CONTACT US