Decimals Questions

The decimals questions and answers on this page may assist students in quickly learning the concept. Several questions in almost all competitive and board examinations are based on the idea of “Decimals”. These questions can be used by students to get a rapid overview of the topics and to practice them so that they better comprehend the concept. Double-check your answers by studying the whole explanations for each question. Click here to read more about decimals.

Below are some decimals questions and answers for you to study and practice.

Decimals Questions with Solutions

1. Find the value of 29.94 ÷ 1.45, if 2994 ÷ 14.5 = 172.

Solution:

Given that, 2994 ÷ 14.5 = 172

29.94/1.45 can be written as 299.4/14.5

Again, 299.4 /14.5 is written in the form as follows:

= [(2994/14.5)×(1/10)

Now, substitute 2994 ÷ 14.5 = 172

= 172 × (1/10)

= 17.2

Hence, the value of 29.94 ÷ 1.45 is 17.2.

2. Simply the value [489.1375 × 0.0483 × 1.956]/[0.0873 × 92.581 × 99.749], and then find the value closest to it.

Solution:

Given expression: [489.1375 × 0.0483 × 1.956]/[0.0873 × 92.581 × 99.749]

Now, write the given values rounded to its nearest value.

Hence, the given value is approximately equal to [489 × 0.05 × 2]/[0.09 × 93 × 100]

= 489/(9 × 93 × 10)

= (163/279) × (1/10)

= 0.58/10 = 0.058, which is approximately equal to 0.06.

Hence, the value closest to the expression [489.1375 × 0.0483 × 1.956]/[0.0873 × 92.581 × 99.749] is 0.06.

3. 11.98 × 11.98 + 11.98 × x + 0.02 × 0.02 should be a perfect square for “m” equal to:

Solution:

Given expression: (11.98 × 11.98 + 11.98 × m + 0.02 × 0.02)

11.98 × 11.98 + 11.98 × m + 0.02 × 0.02 = (11.98)² + (0.02)² + 11.98 × m.

For the expression to be a perfect square, we should have,

11.98 × m = 2 × 11.98 × 0.02

11.98 × m = 0.4792

Hence, m = 0.4792/11.98

m = 0.04

Thus, 11.98 × 11.98 + 11.98 × m + 0.02 × 0.02 should be a perfect square for “m” equal to 0.04.

4. Find the unknown value in the given equation: 3889 + 12.952 – ? = 3854.002

Solution:

Let the unknown value be a.

Thus, 3889 + 12.952 – a = 3854.002.

Rearranging the above equation, we can write

a = (3889 + 12.952) – 3854.002

a = 3901.952 – 3854.002

a = 47.95.

Thus, the unknown value is 47.95.

5. Convert the given fractions into decimals and arrange them in ascending order: 1/4, 1/7, 3/4, 6/2, 1/2.

Solution:

First convert the fractions into decimals.

1/4 = 0.25

1/7 = 0.143

3/4 = 0.75

6/2 = 3

1/2 = 0.5

Now, arrange the decimal values in the ascending order:

0.143, 0.25, 0.5, 0.75, 3.

6. Find the quotient if 4.036 is divided by 0.04.

Solution:

Given fraction: 4.036/0.04

Now, multiply the fraction’s numerator and denominator by 100.

4.036/0.04 = 403.6/4 = 100.9.

Thus, 4.036 divided by 0.04 gives 100.9.

7. What is the equivalent of 0.002 × 0.5?

Solution:

Given expression: 0.002 × 0.5

On simplifying the expression 0.002 × 0.5, we get;

0.002 × 0.5 = 0.001.

8. Write the decimal number for “Fifty Seven and Twenty Three One-Hundredths”.

Solution:

Fifty-Seven and Twenty Three One-Hundredths is written in the form 57 + (23/100)

Now, simply the above value,

= 57 + 0.23

= 57.23.

Hence, Fifty Seven and Twenty Three One-Hundredths in decimal form is 57.23.

9. Jack biked 1.2 miles. Then he ran 0.75 mile. How far did Jack go?

Solution:

Given: Distance travelled by jack = 1.2 + 0.75 = 1.95.

Hence, the total distance travelled by Jack = 1.95 miles.

10. Convert the fraction 43/100 into decimal form.

Solution:

To convert the fraction into a decimal, divide the fraction’s numerator by the denominator,

43/100 = 0.43

Hence, the fraction 43/100 is written in decimal form as 0.43.

Practice Questions

1. Simply the value: 0.04 × 0.0162.
2. Find the value of a, if 0.152 × a = 0.189392
3. Find the value of 617 + 6.017 + 0.617 + 6.0017.

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