Decimal Fractions — Multiple Choice Questions

The place value of 3 in 5.136 is

1. 3
2. $\dfrac{3}{10}$
3. $\dfrac{3}{100}$
4. $\dfrac{3}{1000}$

Answer

The number is 5.136. The digit 3 is in the hundredths place.

So, its place value is $\dfrac{3}{100}$.

Hence, Option 3 is the correct option.

The place value of 4 in 3.046 is

1. 4
2. 40
3. $\dfrac{4}{40}$
4. $\dfrac{4}{100}$

Answer

The number is 3.046. The digit 4 is in the hundredths place.

So, its place value is $\dfrac{4}{100}$.

Hence, Option 4 is the correct option.

$3\dfrac{7}{10} = ?$

1. 3.7
2. 3.07
3. 7.3
4. none of these

Answer

We have,

$3 \dfrac{7}{10}=3+\dfrac{7}{10}=3+0.7 = 3.7$

Hence, Option 1 is the correct option.

0.125 when expressed as a fraction in lowest terms is

1. $\dfrac{1}{4}$

2. $\dfrac{1}{8}$

3. $\dfrac{2}{5}$

4. $\dfrac{3}{8}$

Answer

The given decimal is 0.125.

Writing the decimal as a fraction,

0.125 = $\dfrac{125}{1000} = \dfrac{1}{8}$

Hence, Option 2 is the correct option.

8 rupees 5 paise can be expressed as

1. ₹ 8.50
2. ₹ 80.50
3. ₹ 8.05
4. ₹ 8.5

Answer

We know that 1 rupee = 100 paise

So, 5 paise = $\dfrac{5}{100} = 0.05$ rupees

So 8 rupees 5 paise = 8 + 0.05 = 8.05 rupees

Hence, Option 3 is the correct option.

1 + 0.1 + 0.01 = ?

1. 1.2
2. 1.11
3. 1.21
4. 1.01

Answer

The maximum number of decimal places in the given decimals is 2. So, we have to convert each of the given decimals to have two places of decimal, by annexing zeros.

So the expression is, 1.00 + 0.10 + 0.01

Writing in column form and adding:

$\begin{array}{r} \phantom{+}1.00 \\ 0.10 \\ +\space 0.01 \\ \hline 1.11 \end{array}$

So the sum is 1.11.

Hence, Option 2 is the correct option.

$6\dfrac{19}{1000} = ?$

1. 6.190
2. 6.19
3. 6.019
4. none of these

Answer

We have,

$6\dfrac{19}{1000} =6+\dfrac{19}{1000}=6+0.019=6.019$

So the decimal form is 6.019.

Hence, Option 3 is the correct option.

6.9, 5.4, 3.5 and 7.2 are

1. like decimals
2. unlike decimals
3. equal decimals
4. none of these

Answer

The decimals 6.9, 5.4, 3.5 and 7.2 have one decimal place each. So, they are like decimals.

Hence, Option 1 is the correct option.

Which is greater, 5.08 or 5.8?

1. 5.08
2. 5.8
3. both are equal
4. none of these

Answer

Rewriting 5.08 and 5.8 as like decimals, we have 5.08 and 5.80.

Comparing the tenths place, we know that 8 > 0. So, 5.80 > 5.08.

Hence, Option 2 is the correct option.

4.17 + 3.06 + 5.135 = ?

1. 12.158
2. 12.365
3. 12.635
4. none of these

Answer

Rewriting 4.17 + 3.06 + 5.135 as like decimals,

4.170 + 3.060 + 5.135

Writing in column form and adding:

$\begin{array}{r} \phantom{+}4.170 \\ 3.060 \\ +\space 5.135 \\ \hline 12.365 \end{array}$

So the sum is 12.365.

Hence, Option 2 is the correct option.

5 tenths, when expressed as a decimal, is

1. 0.5
2. 0.05
3. 5.0
4. 0.005

Answer

5 tenths means: $\dfrac{5}{10}$

Converting into decimal,

$\dfrac{5}{10} = 0.5$

Hence, 5 tenths as a decimal is 0.5.

Hence, Option 1 is the correct option.

0.3 + 0.33 = ?

1. 0.36
2. 0.333
3. 0.63
4. none of these

Answer

Rewriting 0.3 + 0.33 as like decimals: 0.30 + 0.33

Writing in column form and adding:

$\begin{array}{r} \phantom{+}0.30 \\ +\space 0.33 \\ \hline 0.63 \end{array}$

So the sum is 0.63.

Hence, Option 3 is the correct option.

6 km 225 m + 3 km 75 m = ?

1. (6.225 + 3.75) km
2. (6.225 + 3.075) km
3. (6.25 + 3.750) km
4. none of these

Answer

We have,

6 km 225 m = 6 km + $\dfrac{225}{1000}$ km = 6 km + 0.225 km = 6.225 km

3 km 75 m = 3 km + $\dfrac{75}{1000}$ km = 3 km + 0.075 km = 3.075 km

So,

6 km 225 m + 3 km 75 m = (6.225 + 3.075) km

So the correct representation is (6.225 + 3.075) km.

Hence, Option 2 is the correct option.