Addition And Subtraction Of Decimal

Decimal addition and subtraction are slightly more complicated than natural number operations. In order to learn addition and subtraction of decimal numbers, first we have to understand the decimal numbers. When we have to present any number with high precision, we use decimals. Decimal numbers are presented by using points in between the numbers. All fraction numbers can be written in decimal form.

Let us take an example of decimal: suppose you have 100 rupees and you have to divide it among 11 members. Now here rupees received by each person will not be an integer. Here each person will receive rupees between 9 to 10. So in this type of problem, we used addition, division, multiplication and subtraction on decimal numbers. So understanding mathematical operations on decimal numbers is very important for us.

Decimal Addition And Subtraction

In mathematics addition, subtraction and other mathematical operations are easily applicable to natural numbers. If we talk about mathematical operations on decimal numbers it is not the same as in natural numbers. We have to follow some steps for applying mathematical operations in decimal numbers.

Steps In Addition Of Decimal

Following steps should be followed for the addition of decimal numbers.

1. Make decimal numbers similar to each other in the manner that each decimal number has an equal number of digits after the decimal. If numbers don’t have an equal number of digits after decimal then add a zero in the numbers to make it equal.

2. Now write one decimal number below the other and make sure that the same place value of each digit should be placed below each other.

3. Now start adding each corresponding digit and addition should start from the right side.

4. After addition make sure that the decimal must be placed at the same place from the right side as it was in both decimal numbers.

Example Of Addition

Suppose in your class the teacher asked you to add the marks of two of your friends. One friend got 75.25 marks and the other friends got 85.5 marks.

Make decimal numbers similar to each other in the manner that each decimal number has an equal number of digits after the decimal. Here in this question, one number has 2 digits after the decimal and one number has one digit after the decimal so to make them similar place zero at the right of the 5 in 85.5.

Now 85.5=85.50

Add 75.25 and 85.50

\[75.25 + 85.50 = 160.75\]

Steps In Subtraction Of Decimal

Following steps should be followed for the subtraction of decimal numbers.

5. Make decimal numbers similar to each other in the manner that each decimal number has an equal number of digits after the decimal. If numbers don’t have an equal number of digits after decimal then add a zero in the numbers to make it equal.

6. Now write one decimal number below the other and make sure that the same place value of each digit should be placed below each other.

7. Now start subtracting each corresponding digit and subtraction should start from the right side.

8. After subtraction make sure that the decimal must be placed at the same place from the right side as it was in both decimal numbers.

Example Of Subtraction

Suppose in your class the teacher asked you to subtract the marks of two of your friends. One friend got 75.25 marks and the other friends got 85.5 marks. The teacher asked to subtract 75.25 from 85.5

Make decimal numbers similar to each other in the manner that each decimal number has an equal number of digits after the decimal. Here in this question, one number has 2 digits after the decimal and one number has one digit after the decimal so in order to make them similar place zero at the right of the 5 in 85.5.

Now 85.5=85.50

Subtract 75.25 from 85.50

\[85.50 - 75.25 = 10.25\]

Frequently Asked Questions

1. Explain Decimal Numbers.

Ans. It is a number which is a combination of whole numbers and fractional numbers. Decimal numbers are presented by using points in between the numbers.

2. Explain the addition.

Ans. The process of joining two small numbers in mathematics and creating one larger number is known as an addition.

3. Explain the Subtraction.

Ans. Subtraction is the mathematical operation of taking a larger number and reducing it to a smaller one.

4. Explain every step which must apply in the Subtraction of decimals.

Ans. Following steps should be followed for the subtraction of decimal numbers.

1. Make decimal numbers similar to each other in the manner that each decimal number has an equal number of digits after the decimal. If numbers don’t have an equal number of digits after decimal then add a zero in the numbers to make it equal.

2. Now write one decimal number below the other and make sure that the same place value of each digit should be placed below each other.

3. Now start subtracting each corresponding digit and subtraction should start from the right side.

4. After subtraction make sure that the decimal must be placed at the same place from the right side as it was in both decimal numbers.

5. Explain every step which must apply in the Addition of decimals.

Ans. Following steps should be followed for the addition of decimal numbers.

1. Make decimal numbers similar to each other in the manner that each decimal number has an equal number of digits after the decimal. If numbers don’t have an equal number of digits after decimal then add a zero in the numbers to make it equal.

2. Now write one decimal number below the other and make sure that the same place value of each digit should be placed below each other.

3. Now start adding each corresponding digit and addition should start from the right side.

4. After addition make sure that the decimal must be placed at the same place from the right side as it was in both decimal numbers.