In this post we will learn how to subtract decimal numbers.
The concept is easy and very similar to subtraction of whole numbers.
How to subtract decimals
In order to subtract the decimals, do the following steps:
(a) Decimal Place Values
Make sure that both the number have same place values after decimals.
For number with less decimal place value, insert 0 at the end of the decimal number
(b) Vertical Arrangement
Vertically arrange both the numbers such that digits with same place values are in same line.
(c) Subtract the numbers
Start subtracting numbers from left to right.
The process is same as you subtract the whole numbers.
These are the three easy steps for subtraction of decimals.
Now enough with the theory, let’s study the concept with some examples.
Example 01
Subtract 2.3 with 1.1
Solution
Let’s follow the above three steps of decimal subtraction
(a) Place Value of numbers
Both the given number have same decimal place values
2.3 ⟹ One place value after decimal
1.1 ⟹ One place value after decimal
Hence, no changes needed in this step
(b) Vertical Arrangement
Arrange numbers such that number with same place values are in same line
(c) Subtract numbers from right to left
The above subtraction completes using below steps:
⟹ Subtracting Tenth Place Value ( 3 – 1 = 2)
⟹ Subtracting Ones Place Value ( 2 – 1 = 1 )
Hence, 1.2 is the solution
Example 02
Subtract 17.6 – 5.23
Solution
Follow the three steps as mentioned above:
(a) Decimal Place Values
17.6 ⟹ one decimal value
5.23 ⟹ two decimal value
We need all numbers with same decimal place value.
So we add zero at the end of 17.6
(b) Vertical Arrangement
Arrange numbers vertically so that digits with same place values are in same line
(c) Subtract numbers from right to left
Hence, 12.37 is the solution
Example 03
Subtract 6.003 with 0.33
Solution
Follow the below steps:
(a) Decimal Place Values
Here numbers have different number of decimal digits
6.003 ⟹ three decimal digits
0.33 ⟹ two decimal digits
To make decimal digits equal on both numbers, we have to add zero at the end of 0.33
(b) Arrange numbers vertically
Both the numbers are arranged in such way that digits with same place values are in same line
(c) Subtract numbers from right to left
Hence, 5.673 is the solution
Example 04
Subtracting decimal from Whole number
⟹ 24 – 13.55
Solution
The Subtraction process is same as we discussed above
(a) Decimal Place Value
24 ⟹ No Decimal Place
13.55 ⟹ Two decimal Number
So we insert two zeros after decimal in 24, so that all number have same decimal digits.
(b) Vertical Arrangement
Arrange numbers vertically so digits with same place value are in same line
(c) Start subtraction from right to left
10.45 is the right answer
Example 05
Subtract 9452.12 with 736.628
Solution
(a) Place values of decimal
9452.12 ⟹ has two decimal digits
736.628 ⟹ has three decimal digits
Insert 0 at the end of 9452.12 to make both the numbers with same decimal place
(b) Arrange numbers vertically
(c) Subtract number from right to left
8715.492 is the solution
Decimal Subtraction Worksheet – Grade 5
Given below are set of numbers which you have to subtract and find the right answer.
All the questions have been provided with solution for reference
(01) Subtract the decimal
⟹ 9.1 – 0.52
(a) 8.51
(b) 8.56
(c) 8.59
(d) 5.85
8.58 is the solution
Option (d) is correct
(02) Subtract the decimal
⟹ 0.37 – 0.08
(a) 0.29
(b) 0.34
(c) 0.22
(d) 0.32
0.29 is the solution
Option (a) is the right answer
(03) Subtract the decimal
⟹ 5.5 – 0.04
(a) 4.79
(b) 4.45
(c) 5.46
(d) 5.24
5.46 is the solution
Option (c) is the right answer
(04) Find the answer for below subtraction
⟹ 101.25 – 2.05
(a) 101.2
(b) 99.20
(c) 98.7
(d) 97.6
99.20 is the solution
Option (b) is the right answer
(05) Subtract the below decimal
⟹ 0.36 – 0.142
(a) 0.218
(b) 0.245
(c) 0.269
(d) 0.322
0.218 is the solution
Option (a) is the right answer
(06) Subtract the decimals
⟹ 9.2 – 6.354
(a) 2.498
(b) 2.336
(c) 2.846
(d) 2.945
2.846 is the right answer
Option (c) is the solution
(07) Subtract: 854.1 – 505.26
(a) 350.92
(b) 348.84
(c) 351.75
(d) 347.51
348.84 is the solution
Option (b) is the right answer
(08) Subtract: 10.7 – 3.6
(a) 6.8
(b) 7.4
(c) 6.5
(d) 7.1
7.1 is the solution
Option (d) is the right answer
(09) Subtract: 1249.36 – 204.18
(a) 1045.18
(b) 1045.26
(c) 1044.36
(d) 1044.18
1045.18 is the solution
Option (a) is the right choice
(10) Subtract : 0.1 – 0.02
(a) 0.05
(b) 0.06
(c) 0.07
(d) 0.08
0.08 is the solution
Option (d) is the right choice