NCERT Class 6 Maths Chapter 8 Decimals Exercise 8.3

Chapter 8 Decimals Exercise 8.3

Question 1: Which is greater?
a) 0.3 or 0.4
b) 0.07 or 0.02
c) 3 or 0.8
d) 0.5 or 0.05
e) 1.23 or 1.2
f) 0.099 or 0.19
g) 1.5 or 1.50
h) 1.431 or 1.490
i) 3.3 or 3.300
j) 5.64 or 5.603
Answer:

a)
0.3 = 3/10
0.4 = 4/10
3/10 < 4/10
Therefore, 0.4 is greater than 0.3.

b)
0.07 = 7/100
0.02 = 2/100
7/100 > 2/100
Therefore, 0.07 is greater than 0.02.

c)
3 = 9/3
0.8 = 8/10
LCM of 3, 10 = 30
= 9/3 × 10/10 = 90/30
= 8/10 × 3/3 = 24/30
90/30  > 24/30
Therefore, 3 is greater than 0.8.

d)
0.5 = 5/10
0.05 = 5/100
LCM of 10, 100 = 100
= 5/10 × 10/10 = 50/100
= 5/100 × 1/1 = 5/100
50/100 > 5/100
Therefore, 0.5 is greater than 0.05.

e)
1.23 = 123/100
1.2 = 12/10
LCM of 10, 100 = 100
= 123/100 × 1/1 = 123/100
= 12/10 × 10/10 = 120/100
123/100 > 120/100
Therefore, 1.23 is greater than 1.2.

f)
0.099 = 99/1000
0.19 = 19/100
LCM of 100, 1000 = 1000
= 99/1000 × 1/1 = 99/1000
= 19/100 × 10/10 = 190/1000
99/1000 < 190/1000
Therefore, 0.19 is greater than 0.099.

g)
1.5 = 15/10
1.50 = 150/100
LCM of 10, 100 = 100
= 15/10 × 10/10 = 150/100
= 150/100 × 1/1 = 150/100
150/100 = 150/100
Therefore, 1.5 and 1.50 are equal.

h)
1.431 = 1431/1000
1.490 = 1490/1000
1431/1000 < 1490/1000
Therefore, 1.490 is greater than 1.431.

i)
3.3 = 33/10
3.300 = 3300/1000
LCM of 10, 1000 = 1000
= 33/10 × 100/100 = 3300/1000
= 3300/1000 × 1/1 = 3300/1000
3300/1000 = 3300/1000
Therefore, 3.3 and 3.300 are equal.

j)
5.64 = 564/100
5.603 = 5603/1000
LCM of 100, 1000 = 1000
= 564/100 × 10/10 = 5640/1000
= 5603/1000 × 1/1 = 5603/1000
5640/1000 > 5603/1000
Therefore, 5.64 is greater than 5.603.

Question 2: Make five more examples and find the greater number from them.
Answer:

a) 5.692 or 5.632
5.692 = 5692/1000
5.632 = 5632/1000
5692/1000 > 5632/1000
Therefore, 5.692 is greater than 5.632.

b) 5.023 or 5.5
5.023 = 5023/1000
5.5 = 55/10
LCM of 10, 1000 = 1000
= 5023/1000 × 1/1 = 5023/1000
= 55/10 × 100/100 = 5500/1000
5023/1000 < 5500/1000
Therefore, 5.5 is greater than 5.023.

c) 1.2 or 1.20
1.2 = 12/10
1.20 = 120/100
LCM of 10, 100 = 100
= 12/10 × 10/10 = 120/100
= 120/100 × 1/1 = 120/100
120/100 = 120/100
Therefore, 1.2 and 1.20 are equal.

d) 5.75 or 8.35
5.75 = 575/100
8.35 = 835/100
575/100 < 835/100
Therefore, 8.35 is greater than 5.75.

e) 0.23 or 0.56
0.23 = 23/100
0.56 = 56/100
23/100 < 56/100
Therefore, 0.56 is greater than 0.23.

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