Dividing Decimals Questions and solutions are available here to help students learn how to divide decimals by whole numbers and decimals. Dividing decimals is very simple, unlike the division of natural numbers. We can use multiple strategies to divide decimal numbers by different types of numbers, such as whole numbers, decimal numbers, fractions, the powers of 10’s, etc. In this article, you will solve questions on decimals division along with some additional problems for practice.
What is the division of decimals?
Dividing Decimals is the same as dividing whole numbers, but in the case of decimals, we consider the decimal point to represent the final answer. Different possibilities for dividing decimals are given as follows:
- Dividing Decimals by whole numbers
- Division of a Decimal Number by another Decimal Number
- Division of decimals by the powers of 10, i.e., 10, 100 and 1000
Learn more about dividing decimals here.
Dividing Decimals Questions with Answers
1. Divide 0.056 by 7 and write down the quotient and remainder.
Solution:
Dividend = 0.056
Divisor = 7
Thus, quotient = 0.008 and remainder = 0.
Alternative method:
Divide 56 by 7 and then put the decimal point.
56/7 = 8
0.056 contains the decimal point after three places.
So, 0.056/7 = 0.008.
2. Perform the division: 0.2080 ÷ 65
Solution:
0.2080 ÷ 65
Here,
Dividend = 0.2080
Divisor = 65
Therefore, 0.2080 ÷ 65 = 0.0032.
3. What is the quotient when we divide 11.7575 by 4.7?
Solution:
Let us divide 11.7575 by 4.7 as shown below:
Here, quotient = 2.50159 and remainder = 27.
That means, 11.7575/4.7 = 2.5016 (approximately).
4. Neeraj walks a total distance of 128.7 km in one month. What is the distance he walks per day on an average?
Solution:
Total distance covered by Neeraj in one month = 128.7 km
Number of days = 1 month = 30 days
Distance covered in a day = 128.7/30
Therefore, Neeraj walks 4.29 km on an average per day.
5. Simplify: 10.4 ÷ 0.8 – 5.6 ÷ 0.4
Solution:
10.4 ÷ 0.8 – 5.6 ÷ 0.4
First, calculate the value of 10.4 ÷ 0.8.
10.4/0.8 = 104/8 = 13
Now, estimate the value of 5.6 ÷ 0.4.
5.6/0.4 = 56/4 = 14
Thus, 10.4 ÷ 0.8 – 5.6 ÷ 0.4
= 13 – 14
= -1
6. If the product of two decimal numbers is 956.81 and one of them is 29.35, find the other one.
Solution:
Given,
Product of two numbers = 956.81
One number = 29.35
Let p be the other number.
So, 29.35 × p = 956.81
p = 956.81/29.35
Now, dividing 956.81 by 29.35, we get;
i.e., 956.81/29.35 = 32.6
Therefore, the other decimal number is 32.6.
7. What is the simplified value of 187.34 ÷ 10 + 56.56 ÷ 10?
Solution:
187.34 ÷ 10 + 56.56 ÷ 10
As we know, the division of a decimal number by 10 will give us the result in which the decimal point of the dividend moves one place towards the left.
So, 187.34 ÷ 10 + 56.56 ÷ 10 = 18.734 + 5.656 = 24.39
Therefore, 18734 ÷ 10 + 56.56 ÷ 10 = 24.39.
8. Write the value of 55.007 ÷ 1000.
Solution:
55.007 ÷ 1000
55.007/1000 ÷ 1000
= 55007/1000 × 1/1000
= 55007/1000000
=0.055007
Therefore, 55.007 ÷ 1000 = 0.055007.
Alternative method:
55.007 ÷ 1000
= 55.007/103
Here, the divisor is the power of 10 which means we can just move the decimal points towards the left for three places.
= 0.055007
Thus, 55.007 ÷ 1000 = 0.055007.
9. What is the value of 39.163/0.12?
Solution:
39.163/0.12 = 39.163/0.01
0.01 can be expressed as:
0.01 = 1/100 = 1/102 = 10-2
That means we should move the decimal point towards the right.
Thus, 39.163/0.01 = 3916.3
10. Compute: 78.400 ÷ 10 – 66.98 ÷ 10 + 298.22 ÷ 10
Solution:
78.400 ÷ 10 – 66.98 ÷ 10 + 298.22 ÷ 10
Here, the divisors are 10, so we can move the decimal point of the dividends by 1 place towards the left.
That means, 78.400 ÷ 10 – 66.98 ÷ 10 + 298.22 ÷ 10 = 7.8400 – 6.698 + 29.822
= 30.964
Practice Questions on Dividing Decimals
- What is the quotient of 98.385/0.5?
- Find the quotient and remainder of 5349.92/42.
- Simplify the following:
(i) 944.23/100
(ii) 8623.74/1000
(iii) 0.0974/10 - Calculate the value of 626.44 ÷ 0.44.
- If the cost of 10 dozen bananas is Rs. 878.75, find the cost of each banana.
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