Decimal Fraction problems
- 1. The least among the following is:
Options- A. 0.2
- B. 1 ? 0.2
- C. 0.2
- D. (0.2)2 Discuss
Correct Answer: (0.2)2
Explanation:
| 1 ? 0.2 = | 1 | = | 10 | = 5; |
| 0.2 | 2 |
0.2 = 0.222...;
(0.2)2 = 0.04.
0.04 < 0.2 < 0.22....<5.
Since 0.04 is the least, so (0.2)2 is the least.
- 2. What decimal of an hour is a second?
Options- A. .0025
- B. .0256
- C. .00027
- D. .000126 Discuss
Correct Answer: .00027
Explanation:
| Required decimal = | 1 | = | 1 | = .00027 |
| 60 x 60 | 3600 |
- 3.
0.0203 x 2.92 =? 0.0073 x 14.5 x 0.7
Options- A. 0.8
- B. 1.45
- C. 2.40
- D. 3.25 Discuss
Correct Answer: 0.8
Explanation:
| 0.0203 x 2.92 | = | 203 x 292 | = | 4 | = 0.8 |
| 0.0073 x 14.5 x 0.7 | 73 x 145 x 7 | 5 |
- 4. 0.002 x 0.5 =?
Options- A. 0.0001
- B. 0.001
- C. 0.01
- D. 0.1 Discuss
Correct Answer: 0.001
Explanation:
2 x 5 = 10.
Sum of decimal places = 4
∴ 0.002 x 0.5 = 0.001
- 5.
(0.1667)(0.8333)(0.3333) is approximately equal to: (0.2222)(0.6667)(0.1250)
Options- A. 2
- B. 2.40
- C. 2.43
- D. 2.50 Discuss
Correct Answer: 2.50
Explanation:
| Given expression |
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| = 2.50 |
- 6. The correct expression of 6.46 in the fractional form is:
Options- A.
646 99 - B.
64640 1000 - C.
640 100 - D.
640 99
Discuss
Correct Answer:
| 640 |
| 99 |
Explanation:
| 6.46 = 6 + 0.46 = 6 + | 46 | = | 594 + 46 | = | 640 | . |
| 99 | 99 | 99 |
- 7.
Which of the following fractions is greater than 3 and less than 5 ? 4 6
Options- A.
1 2 - B.
2 3 - C.
4 5 - D.
9 10
Discuss
Correct Answer:
| 4 |
| 5 |
Explanation:
| 3 | = 0.75, | 5 | = 0.833, | 1 | = 0.5, | 2 | = 0.66, | 4 | = 0.8, | 9 | = 0.9. |
| 4 | 6 | 2 | 3 | 5 | 10 |
Clearly, 0.8 lies between 0.75 and 0.833.
| ∴ | 4 | lies between | 3 | and | 5 | . |
| 5 | 4 | 6 |
- 8. 0.04 x 0.0162 is equal to:
Options- A. 6.48 x 10-3
- B. 6.48 x 10-4
- C. 6.48 x 10-5
- D. 6.48 x 10-6 Discuss
Correct Answer: 6.48 x 10-4
Explanation:
4 x 162 = 648. Sum of decimal places = 6.
So, 0.04 x 0.0162 = 0.000648 = 6.48 x 10 -4
So, 0.04 x 0.0162 = 0.000648 = 6.48 x 10 -4
- 9.
.009 = .01 ?
Options- A. .0009
- B. .09
- C. .9
- D. 9 Discuss
Correct Answer: .9
Explanation:
| Let | .009 | = .01; Then x = | .009 | = | .9 | = .9 |
| x | .01 | 1 |
- 10. 3.87 - 2.59 =?
Options- A. 1.20
- B. 1.2
- C. 1.27
- D. 1.28 Discuss
Correct Answer: 1.28
Explanation:
3.87 - 2.59 = (3 + 0.87) - (2 + 0.59)
| = | ❨ | 3 + | 87 | ❩ | - | ❨ | 2 + | 59 | ❩ |
| 99 | 99 |
| = 1 + | ❨ | 87 | - | 59 | ❩ |
| 99 | 99 |
| = 1 + | 28 |
| 99 |
= 1.28.
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