Objective Type Questions: Decimals

# Class 3 Maths Chapter 8 Question Answers - Decimals

``` Page 1

Objective Type Questions                                                    page: 7.32
Mark the correct alternative in each of the following:

1. 3/10 is equal to
(a) 3.1
(b) 1.3
(c) 0.3
(d) 0.03
Solution:

The option (c) is correct answer.
We know that 3/10 = 0.3
Here the denominator is 10, so we have to mark the decimal where 3 is in the tenth place.

2. 7/100 is equal to
(a) 7.1
(b) 7.01
(c) 0.7
(d) 0.07
Solution:

The option (d) is correct answer.
We know that 7/100 = 0.07
Here the denominator is 100, so we have to mark the decimal where 7 is in the hundredth place.

3. 4/1000 is equal to
(a) 0.004
(b) 0.04
(c) 0.4
(d) 4.001
Solution:

The option (a) is correct answer.
Here the denominator is 1000, so we have to mark the decimal where 4 is in the thousandth place.

4. The value of 37/10000 is
(a) 0.0370
(b) 0.0037
(c) 0.00037
(d) 0.000037
Solution:

The option (b) is correct answer.
Here the denominator is 10000, so we have to mark the decimal where 3 is in the thousandth place and 7 is in the
ten-thousandth place.

5. The place value of 5 in 0.04532 is
(a) 5
(b) 5/100
Page 2

Objective Type Questions                                                    page: 7.32
Mark the correct alternative in each of the following:

1. 3/10 is equal to
(a) 3.1
(b) 1.3
(c) 0.3
(d) 0.03
Solution:

The option (c) is correct answer.
We know that 3/10 = 0.3
Here the denominator is 10, so we have to mark the decimal where 3 is in the tenth place.

2. 7/100 is equal to
(a) 7.1
(b) 7.01
(c) 0.7
(d) 0.07
Solution:

The option (d) is correct answer.
We know that 7/100 = 0.07
Here the denominator is 100, so we have to mark the decimal where 7 is in the hundredth place.

3. 4/1000 is equal to
(a) 0.004
(b) 0.04
(c) 0.4
(d) 4.001
Solution:

The option (a) is correct answer.
Here the denominator is 1000, so we have to mark the decimal where 4 is in the thousandth place.

4. The value of 37/10000 is
(a) 0.0370
(b) 0.0037
(c) 0.00037
(d) 0.000037
Solution:

The option (b) is correct answer.
Here the denominator is 10000, so we have to mark the decimal where 3 is in the thousandth place and 7 is in the
ten-thousandth place.

5. The place value of 5 in 0.04532 is
(a) 5
(b) 5/100

(c) 5/1000
(d) 5/10000
Solution:

The option (c) is correct answer.
We know that 5 is in the thousandth place.
So we get 0.04532 = 4/100 + 5/1000 + 3/10000 + 2/100000

6. The value of 231/1000 is
(a) 0.231
(b) 2.31
(c) 23.1
(d) 0.0231
Solution:

The option (a) is correct answer.
It can be written as
231/1000 = (200+30+1)/1000 = 200/1000 + 30/1000 + 1/1000 = 2/10 + 3/100 + 1/1000
Here we have 2 tenths, 3 hundredths and 1 thousandth.
Hence, the value of 231/1000 is 0.231.

7. The value of 3 5/1000 is
(a) 3.5
(b) 3.05
(c) 3.005
(d) 3.0005
Solution:

The option (c) is correct answer.
It can be written as
3 5/1000 = 3 + 5/1000 = 3 + 0.005 = 3.005

8. The value of 3/25 is
(a) 1.2
(b) 0.12
(c) 0.012
(d) None of these
Solution:

The option (b) is correct answer.
It can be written as
3/25 = (3×4)/ (25×4) = 12/100 = 0.12

9. The value of 2 1/25 is
(a) 2.4
(b) 2.25
(c) 2.04
(d) 2.40
Page 3

Objective Type Questions                                                    page: 7.32
Mark the correct alternative in each of the following:

1. 3/10 is equal to
(a) 3.1
(b) 1.3
(c) 0.3
(d) 0.03
Solution:

The option (c) is correct answer.
We know that 3/10 = 0.3
Here the denominator is 10, so we have to mark the decimal where 3 is in the tenth place.

2. 7/100 is equal to
(a) 7.1
(b) 7.01
(c) 0.7
(d) 0.07
Solution:

The option (d) is correct answer.
We know that 7/100 = 0.07
Here the denominator is 100, so we have to mark the decimal where 7 is in the hundredth place.

3. 4/1000 is equal to
(a) 0.004
(b) 0.04
(c) 0.4
(d) 4.001
Solution:

The option (a) is correct answer.
Here the denominator is 1000, so we have to mark the decimal where 4 is in the thousandth place.

4. The value of 37/10000 is
(a) 0.0370
(b) 0.0037
(c) 0.00037
(d) 0.000037
Solution:

The option (b) is correct answer.
Here the denominator is 10000, so we have to mark the decimal where 3 is in the thousandth place and 7 is in the
ten-thousandth place.

5. The place value of 5 in 0.04532 is
(a) 5
(b) 5/100

(c) 5/1000
(d) 5/10000
Solution:

The option (c) is correct answer.
We know that 5 is in the thousandth place.
So we get 0.04532 = 4/100 + 5/1000 + 3/10000 + 2/100000

6. The value of 231/1000 is
(a) 0.231
(b) 2.31
(c) 23.1
(d) 0.0231
Solution:

The option (a) is correct answer.
It can be written as
231/1000 = (200+30+1)/1000 = 200/1000 + 30/1000 + 1/1000 = 2/10 + 3/100 + 1/1000
Here we have 2 tenths, 3 hundredths and 1 thousandth.
Hence, the value of 231/1000 is 0.231.

7. The value of 3 5/1000 is
(a) 3.5
(b) 3.05
(c) 3.005
(d) 3.0005
Solution:

The option (c) is correct answer.
It can be written as
3 5/1000 = 3 + 5/1000 = 3 + 0.005 = 3.005

8. The value of 3/25 is
(a) 1.2
(b) 0.12
(c) 0.012
(d) None of these
Solution:

The option (b) is correct answer.
It can be written as
3/25 = (3×4)/ (25×4) = 12/100 = 0.12

9. The value of 2 1/25 is
(a) 2.4
(b) 2.25
(c) 2.04
(d) 2.40

Solution:

The option (c) is correct answer.
It can be written as
2 1/25 = 2 + 1/25 = 2 + (1×4)/ (25×4) = 2 + 4/100 = 2 + 0.04 = 2.04

10. 4 7/8 is equal to
(a) 4.78
(b) 4.87
(c) 4.875
(d) None of these
Solution:

The option (c) is correct answer.
It can be written as
4 7/8 = 4 + 7/8 = 4 + (7×125)/ (8×125)
On further calculation
4 7/8 = 4 + 875/1000 = 4 + 0.875 = 4.875

11. 2+3/10+5/100 is equal to
(a) 2.305
(b) 2.3
(c) 2.35
(d) 0.235
Solution:

The option (c) is correct answer.
We know that 3/10 = 0.3 having denominator as 10, so we need to mark the decimal where 3 is in the tenth place
5/100= 0.05 having denominator as 100, so we need to mark the decimal where 5 is in the hundredth place
It can be written as,
2 + 3/10 + 5/100 = 2+ 0.3 + 0.05 = 2.35

12. 3/100+5/10000 is equal to
(a) 0.35
(b) 0.305
(c) 0.0305
(d) 0.3005
Solution:

The option (c) is correct answer.
We know that 3/100 = 0.03 having denominator 100, so we mark the decimal where 3 is in the hundredth place
5/10000 = 0.0005 having denominator 10000, so we mark the decimal where 5 is in the ten thousandth place
It can be written as,
3/100 + 5/10000 = 0.03 + 0.0005 = 0.0305

13. 1 cm is equal is
(a) 0.1 m
(b) 0.01 m
Page 4

Objective Type Questions                                                    page: 7.32
Mark the correct alternative in each of the following:

1. 3/10 is equal to
(a) 3.1
(b) 1.3
(c) 0.3
(d) 0.03
Solution:

The option (c) is correct answer.
We know that 3/10 = 0.3
Here the denominator is 10, so we have to mark the decimal where 3 is in the tenth place.

2. 7/100 is equal to
(a) 7.1
(b) 7.01
(c) 0.7
(d) 0.07
Solution:

The option (d) is correct answer.
We know that 7/100 = 0.07
Here the denominator is 100, so we have to mark the decimal where 7 is in the hundredth place.

3. 4/1000 is equal to
(a) 0.004
(b) 0.04
(c) 0.4
(d) 4.001
Solution:

The option (a) is correct answer.
Here the denominator is 1000, so we have to mark the decimal where 4 is in the thousandth place.

4. The value of 37/10000 is
(a) 0.0370
(b) 0.0037
(c) 0.00037
(d) 0.000037
Solution:

The option (b) is correct answer.
Here the denominator is 10000, so we have to mark the decimal where 3 is in the thousandth place and 7 is in the
ten-thousandth place.

5. The place value of 5 in 0.04532 is
(a) 5
(b) 5/100

(c) 5/1000
(d) 5/10000
Solution:

The option (c) is correct answer.
We know that 5 is in the thousandth place.
So we get 0.04532 = 4/100 + 5/1000 + 3/10000 + 2/100000

6. The value of 231/1000 is
(a) 0.231
(b) 2.31
(c) 23.1
(d) 0.0231
Solution:

The option (a) is correct answer.
It can be written as
231/1000 = (200+30+1)/1000 = 200/1000 + 30/1000 + 1/1000 = 2/10 + 3/100 + 1/1000
Here we have 2 tenths, 3 hundredths and 1 thousandth.
Hence, the value of 231/1000 is 0.231.

7. The value of 3 5/1000 is
(a) 3.5
(b) 3.05
(c) 3.005
(d) 3.0005
Solution:

The option (c) is correct answer.
It can be written as
3 5/1000 = 3 + 5/1000 = 3 + 0.005 = 3.005

8. The value of 3/25 is
(a) 1.2
(b) 0.12
(c) 0.012
(d) None of these
Solution:

The option (b) is correct answer.
It can be written as
3/25 = (3×4)/ (25×4) = 12/100 = 0.12

9. The value of 2 1/25 is
(a) 2.4
(b) 2.25
(c) 2.04
(d) 2.40

Solution:

The option (c) is correct answer.
It can be written as
2 1/25 = 2 + 1/25 = 2 + (1×4)/ (25×4) = 2 + 4/100 = 2 + 0.04 = 2.04

10. 4 7/8 is equal to
(a) 4.78
(b) 4.87
(c) 4.875
(d) None of these
Solution:

The option (c) is correct answer.
It can be written as
4 7/8 = 4 + 7/8 = 4 + (7×125)/ (8×125)
On further calculation
4 7/8 = 4 + 875/1000 = 4 + 0.875 = 4.875

11. 2+3/10+5/100 is equal to
(a) 2.305
(b) 2.3
(c) 2.35
(d) 0.235
Solution:

The option (c) is correct answer.
We know that 3/10 = 0.3 having denominator as 10, so we need to mark the decimal where 3 is in the tenth place
5/100= 0.05 having denominator as 100, so we need to mark the decimal where 5 is in the hundredth place
It can be written as,
2 + 3/10 + 5/100 = 2+ 0.3 + 0.05 = 2.35

12. 3/100+5/10000 is equal to
(a) 0.35
(b) 0.305
(c) 0.0305
(d) 0.3005
Solution:

The option (c) is correct answer.
We know that 3/100 = 0.03 having denominator 100, so we mark the decimal where 3 is in the hundredth place
5/10000 = 0.0005 having denominator 10000, so we mark the decimal where 5 is in the ten thousandth place
It can be written as,
3/100 + 5/10000 = 0.03 + 0.0005 = 0.0305

13. 1 cm is equal is
(a) 0.1 m
(b) 0.01 m

(c) 0.10 m
(d) 0.001 m
Solution:

The option (b) is correct answer.
100 cm = 1 m
So we get,
1 cm = 1/100 m = 0.01 m

14. 1 m is equal to
(a) 0.1 km
(b) 0.01 km
(c) 0.001 km
(d) 0.0001 km
Solution:

The option (c) is correct answer.
1000 m = 1 km
So we get,
1 m = 1/1000 m = 0.001 km

15. 2 kg 5 gm is equal to
(a) 2.5 kg
(b) 2.05 kg
(c) 2.005 kg
(d) 2.6 kg
Solution:

The option (c) is correct answer.
1000 g = 1 kg
So we get 1 g = 1/1000 kg = 0.001 kg
The same way 5 g = 5/1000 kg = 0.005 kg
Hence, 2 kg 5 gm =2 kg + 0.005 kg = 2.005 kg

16. 15 litres and 15 ml is equal to
(a) 15.15 litres
(b) 15.150 litres
(c) 15.0015 litres
(d) 15.015 litres
Solution:

The option (d) is correct answer.
1000 ml = 1 litre
So we get 1 ml = 1/1000 = 0.001 litre
The same way 15 ml = 15/1000 = 0.015 litre
Hence, 15 litre and 15 ml = 15 litre + 0.015 litre = 15.015 litres

17. Which of the following are like decimals?
(a) 5.5, 5.05, 5.005, 5.50
(b) 5.5, 0.55, 5.55, 5.555
Page 5

Objective Type Questions                                                    page: 7.32
Mark the correct alternative in each of the following:

1. 3/10 is equal to
(a) 3.1
(b) 1.3
(c) 0.3
(d) 0.03
Solution:

The option (c) is correct answer.
We know that 3/10 = 0.3
Here the denominator is 10, so we have to mark the decimal where 3 is in the tenth place.

2. 7/100 is equal to
(a) 7.1
(b) 7.01
(c) 0.7
(d) 0.07
Solution:

The option (d) is correct answer.
We know that 7/100 = 0.07
Here the denominator is 100, so we have to mark the decimal where 7 is in the hundredth place.

3. 4/1000 is equal to
(a) 0.004
(b) 0.04
(c) 0.4
(d) 4.001
Solution:

The option (a) is correct answer.
Here the denominator is 1000, so we have to mark the decimal where 4 is in the thousandth place.

4. The value of 37/10000 is
(a) 0.0370
(b) 0.0037
(c) 0.00037
(d) 0.000037
Solution:

The option (b) is correct answer.
Here the denominator is 10000, so we have to mark the decimal where 3 is in the thousandth place and 7 is in the
ten-thousandth place.

5. The place value of 5 in 0.04532 is
(a) 5
(b) 5/100

(c) 5/1000
(d) 5/10000
Solution:

The option (c) is correct answer.
We know that 5 is in the thousandth place.
So we get 0.04532 = 4/100 + 5/1000 + 3/10000 + 2/100000

6. The value of 231/1000 is
(a) 0.231
(b) 2.31
(c) 23.1
(d) 0.0231
Solution:

The option (a) is correct answer.
It can be written as
231/1000 = (200+30+1)/1000 = 200/1000 + 30/1000 + 1/1000 = 2/10 + 3/100 + 1/1000
Here we have 2 tenths, 3 hundredths and 1 thousandth.
Hence, the value of 231/1000 is 0.231.

7. The value of 3 5/1000 is
(a) 3.5
(b) 3.05
(c) 3.005
(d) 3.0005
Solution:

The option (c) is correct answer.
It can be written as
3 5/1000 = 3 + 5/1000 = 3 + 0.005 = 3.005

8. The value of 3/25 is
(a) 1.2
(b) 0.12
(c) 0.012
(d) None of these
Solution:

The option (b) is correct answer.
It can be written as
3/25 = (3×4)/ (25×4) = 12/100 = 0.12

9. The value of 2 1/25 is
(a) 2.4
(b) 2.25
(c) 2.04
(d) 2.40

Solution:

The option (c) is correct answer.
It can be written as
2 1/25 = 2 + 1/25 = 2 + (1×4)/ (25×4) = 2 + 4/100 = 2 + 0.04 = 2.04

10. 4 7/8 is equal to
(a) 4.78
(b) 4.87
(c) 4.875
(d) None of these
Solution:

The option (c) is correct answer.
It can be written as
4 7/8 = 4 + 7/8 = 4 + (7×125)/ (8×125)
On further calculation
4 7/8 = 4 + 875/1000 = 4 + 0.875 = 4.875

11. 2+3/10+5/100 is equal to
(a) 2.305
(b) 2.3
(c) 2.35
(d) 0.235
Solution:

The option (c) is correct answer.
We know that 3/10 = 0.3 having denominator as 10, so we need to mark the decimal where 3 is in the tenth place
5/100= 0.05 having denominator as 100, so we need to mark the decimal where 5 is in the hundredth place
It can be written as,
2 + 3/10 + 5/100 = 2+ 0.3 + 0.05 = 2.35

12. 3/100+5/10000 is equal to
(a) 0.35
(b) 0.305
(c) 0.0305
(d) 0.3005
Solution:

The option (c) is correct answer.
We know that 3/100 = 0.03 having denominator 100, so we mark the decimal where 3 is in the hundredth place
5/10000 = 0.0005 having denominator 10000, so we mark the decimal where 5 is in the ten thousandth place
It can be written as,
3/100 + 5/10000 = 0.03 + 0.0005 = 0.0305

13. 1 cm is equal is
(a) 0.1 m
(b) 0.01 m

(c) 0.10 m
(d) 0.001 m
Solution:

The option (b) is correct answer.
100 cm = 1 m
So we get,
1 cm = 1/100 m = 0.01 m

14. 1 m is equal to
(a) 0.1 km
(b) 0.01 km
(c) 0.001 km
(d) 0.0001 km
Solution:

The option (c) is correct answer.
1000 m = 1 km
So we get,
1 m = 1/1000 m = 0.001 km

15. 2 kg 5 gm is equal to
(a) 2.5 kg
(b) 2.05 kg
(c) 2.005 kg
(d) 2.6 kg
Solution:

The option (c) is correct answer.
1000 g = 1 kg
So we get 1 g = 1/1000 kg = 0.001 kg
The same way 5 g = 5/1000 kg = 0.005 kg
Hence, 2 kg 5 gm =2 kg + 0.005 kg = 2.005 kg

16. 15 litres and 15 ml is equal to
(a) 15.15 litres
(b) 15.150 litres
(c) 15.0015 litres
(d) 15.015 litres
Solution:

The option (d) is correct answer.
1000 ml = 1 litre
So we get 1 ml = 1/1000 = 0.001 litre
The same way 15 ml = 15/1000 = 0.015 litre
Hence, 15 litre and 15 ml = 15 litre + 0.015 litre = 15.015 litres

17. Which of the following are like decimals?
(a) 5.5, 5.05, 5.005, 5.50
(b) 5.5, 0.55, 5.55, 5.555

(c) 5.5, 6.6, 7.7, 8.8
(d) 0.5, 0.56, 0.567, 0.5678
Solution:

The option (c) is correct answer.
5.5. 6.6, 7.7, 8.8 are like decimals having same number of decimals.

18. The value of 0.5 + 0.005 + 5.05 is
(a) 5.55
(b) 5.555
(c) 5.055
(d) 5.550
Solution:

The option (b) is correct answer.
0.5 + 0.005 + 5.05 = 5.555

19. 0.35 - 0.035 is equal to
(a) 0.3
(b) 0.349
(c) 0.315
(d) 0.353
Solution:

The option (c) is correct answer.
0.35 – 0.035 = 0.315

20. 2.5 + 3.05 - 4.005 is equal to
(a) 1.545
(b) 1.455
(c) 1.554
(d) 0.545
Solution:

The option (a) is correct answer.
2.5 + 3.05 - 4.005 = 5.55 - 4.005 = 1.545

21. Which is greater among 2.3, 2.03, 2.33, 2.05?
(a) 2.3
(b) 2.03
(c) 2.33
(d) 2.05
Solution:

The option (c) is correct answer.
We know that the whole parts of all the above numbers are equal.
So by comparing the tenth parts, two of the decimals have a tenth part 0 and two have a tenth part 3.
Now by leaving the decimals which have a tenth part 0, 2.3 and 2.33.
By comparing them, 2.33 is greater than 2.3, where, 2.3 has no hundredth part, while 2.33, the hundredth part is 3.

```

## Mathematics (Maths) Class 6

94 videos|347 docs|54 tests

## FAQs on Class 3 Maths Chapter 8 Question Answers - Decimals

 1. What is a decimal number?
Ans. A decimal number is a number that consists of digits and a decimal point. It is used to represent numbers that are not whole or integers, but instead, have a fractional part.
 2. How do you read and write decimal numbers?
Ans. To read a decimal number, we read the number before the decimal point as a whole number and then say the name of the last digit followed by "tenths," "hundredths," "thousandths," etc., for the digits after the decimal point. To write a decimal number, we place the digits in the appropriate place value positions, with the decimal point separating the whole number part from the fractional part.
 3. How do you compare decimal numbers?
Ans. To compare decimal numbers, we start by comparing the digits before the decimal point. If they are different, the number with the larger digit is greater. If the digits before the decimal point are the same, we compare the digits after the decimal point from left to right. The first digit that is different determines the comparison. If all digits after the decimal point are the same, the numbers are equal.
 4. How do you add and subtract decimal numbers?
Ans. To add and subtract decimal numbers, we line up the decimal points and then perform the addition or subtraction operation as we would with whole numbers. The decimal point in the result should be placed directly below the decimal points in the numbers being added or subtracted.
 5. Can decimal numbers be converted into fractions?
Ans. Yes, decimal numbers can be converted into fractions. To convert a decimal into a fraction, we write the decimal as a fraction with the decimal part as the numerator and the place value of the last digit as the denominator. We simplify the fraction, if necessary, to its lowest terms.

## Mathematics (Maths) Class 6

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