## 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