Subtraction of Decimals
We will discuss here about the subtraction of decimals.
Decimals are subtracted in the same way as we subtract ordinary numbers. We
arrange the digits in columns and then subtract one decimal from the other
decimal as required.
Let us consider some of the examples on subtracting decimals.
1. Subtract 3.489  1.234

Step I: Write the number vertically aligning on the decimal points. Step II: Subtract the thousandths. 9 – 4 = 5. Write 5 under
thousandths. Step III: Subtract the hundredths. 8 – 3 = 5. Write 5 under
hundredths. Step IV: Subtract the tenths. 4 – 2 = 2. Write 2 under tenths. Step V: Subtract the ones. 3 – 1 = 2. Write 2 under ones.

2. Subtract 1.928 – 0.429

Step I: Write the number vertically aligning on the decimal points. Step II: Regroup and subtract the thousandths. 18 – 9 = 9. Write 9
under thousandths. Step III: Regroup and subtract the hundredths. 11 – 2 = 9. Write 9
under hundredths. Step IV: Regroup and subtract the tenths. 8 – 4 = 4. Write 4 under
tenths. Step V: Subtract the ones. 1 – 0 = 1. Write 1 under ones.

3. Subtract 2.569 from 8.425
We arrange the digits of decimals in columns and subtract the smaller decimal from the greater one. We ensure that the decimal points are in the same column.
8 . 4 2 5
 2 . 5 6 9
5 . 8 5 6
4. Subtract 13.725 from 40.000
We arrange the digits of decimals in columns and then we subtract
one decimal from the other as usual.
4 0 . 0 0 0
 1 3 . 7 2 5
2 6 . 2 7 5
5. Subtract 314.328 from 823.019
Subtract as required and ensure that the decimal points are
in the same column.
8 2 3 . 0 1 8
 3 1 4 . 3 2 8
5 0 8 . 6 9 0
6. Subtract 247.63 from 839.84
8 3 9 . 8 4
 2 4 7 . 6 3
5 9 2 . 2 1
Questions and Answers on Subtraction of Decimals:
I. Subtract the following:
(i) 36.24 – 14.12 = ..............
(ii) 23.005 – 16.004 = ..............
(iii) 45.36 – 28.29 = ..............
(iv) 318.42 – 126.31 = ..............
(v) 240.05 – 169.35 = ..............
(vi) 999.009 – 888.118 = ..............
Answer:
I. (i) 22.12
(ii) 7.001
(iii) 17.07
(iv) 192.11
(v) 70.70
(vi) 110.891
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Like Decimal Fractions are discussed here. Two or more decimal fractions are called like decimals if they have equal number of decimal places. However the number of digits in the integral part does not matter. 0.43, 10.41, 183.42, 1.81, 0.31 are all like fractions
Decimal numbers can be expressed in expanded form using the placevalue chart. In expanded form of decimal fractions we will learn how to read and write the decimal numbers. Note: When a decimal is missing either in the integral part or decimal part, substitute with 0.
The rules of multiplying decimals are: (i) Take the two numbers as whole numbers (remove the decimal) and multiply. (ii) In the product, place the decimal point after leaving digits equal to the total number of decimal places in both numbers.
To divide a decimal number by a whole number the division is performed in the same way as in the whole numbers. We first divide the two numbers ignoring the decimal point and then place the decimal point in the quotient in the same position as in the dividend.
To multiply a decimal number by a decimal number, we first multiply the two numbers ignoring the decimal points and then place the decimal point in the product in such a way that decimal places in the product is equal to the sum of the decimal places in the given numbers.
Unlike decimal fractions are discussed here. Two or more decimal fractions are called unlike decimals if they have unequal numbers of decimal places. Let us consider some of the unlike decimals; (i) 8.4, 8.41, 8.412 In 8.4, 8.41, 8.412 the number of decimal places are 1, 2
Equivalent decimal fractions are unlike fractions which are equal in value. Numbers obtained by inserting zeros after the extreme right digit in the decimal part of a decimal number are known as equivalent decimals.
While comparing natural numbers we first compare total number of digits in both the numbers and if they are equal then we compare the digit at the extreme left. If they also equal then we compare the next digit and so on. We follow the same pattern while comparing the
Addition of decimal numbers are similar to addition of whole numbers. We convert them to like decimals and place the numbers vertically one below the other in such a way that the decimal point lies exactly on the vertical line. Add as usual as we learnt in the case of whole
The rules of subtracting decimal numbers are: (i) Write the digits of the given numbers one below the other such that the decimal points are in the same vertical line. (ii) Subtract as we subtract whole numbers. Let us consider some of the examples on subtraction
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