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EXERCISE 8A
iv. 2.7
1. Represent the following decimal numbers on the number line
ii. 1.9
ii. 1.3
i. 0.7
iii. 5.6
iv. 8.3
whole number is nearer to each number?
ii. 3.1
i. 0.9
2c
D 3
1 B
А
Fig. 1
2. Between which two whole numbers on the number line, do the given numbers lie? Which
3. Write the decimal number represented by points A, B, C, D on the number line.
Answers
Answer:
Example 1:
Savita is dividing
3
1
4
kg of sweets equally among her
seven friends. How much does each friend receive?
(a)
3
4
kg
(b)
1
4
kg
(c)
1
2
kg
(d)
3
28
kg
Solution:
Correct answer is (b)
Example 2:
If
3
4
of a number is 12, the number is
(a) 9
(b) 16 (c) 18
(d) 32
Solution:
Correct answer is (b)
Example 3:
Product of fractions
2
7
and
5
9
is
(a)
2 5
7 9
×
+
(b)
2 5
2 9
+
+
(c)
2 9
5 7
×
×
(d)
2 5
7 9
×
×
Solution:
Correct answer is (d)
Example 4:
Given that 0 < p < q < r < s and p, q, r, s are integers,
which of the following is the smallest?
(a)
p q
r s
+
+
(b)
p s
q r
+
+
(c)
q s
p r
+
+
(d)
r s
p q
+
+
Solution:
Correct answer is (a)
Example 5:
The next number of the pattern
60, 30, 15, _______ is
(a) 10
(b) 5
(c)
15
4
(d)
15
2
Solution:
Correct answer is (d)FRACTIONS AND DECIMALS 29
UNIT 2
Example 6:
The decimal expression for 8 rupees 8 paise (in Rupees) is
(a) 8.8
(b) 8.08
(c) 8.008
(d) 88.0
Solution:
Correct answer is (b)
Example 7:
Each side of a regular hexagon is 3.5cm long. The
perimeter of the given polygon is
(a) 17.5cm
(b) 21cm
(c) 18.3cm
(d) 20cm
Solution:
Correct answer is (b)
Example 8:
2.5
÷
÷
÷÷
1000 is equal to
(a) 0.025
(b) 0.0025
(c) 0.2500
(d) 25000
Solution :
Correct answer is (b)
Example 9:
Which of the following has the smallest value?
(a) 0.0002
(b)
2
1000
(c)
2
(0.2)
2
(d)
2
0.01
100
÷
Solution:
Correct answer is (a)
Example 10: Which of the following has the largest value?
(a)
32
0.05
(b)
0.320
50
(c)
3.2
0.05
(d)
3.2
50
Solution:
Correct answer is (a)
Example 11: The largest of the following is
(a) 0.0001
(b)
1
1000
(c) (0.100)2
(d)
1
0.1
10
÷
Solution:
Correct answer is (d)
In Examples 12 to 19, fill in the blanks to make the statement true.
Example 12: A fraction acts as an opera