Addition of Decimals

We will discuss here about the addition of decimals. Decimals are added in the same way as we add ordinary numbers. We arrange the digits in columns and then add as required.


Let us consider some of the following examples on adding decimals.

1. Add 3.4, 4.6 and 5.2

Step I: Write the numbers vertically aligning on the decimal points.

Add the tenths.

4 + 6 + 2 = 12

Place 2 in the tenths column and place the point before it. Carry 1 to the whole number part.

Add the whole numbers.

3 + 4 + 5 + 1 = 13

The sum of 3.4, 4.6 and 5.2 is 13.2

Decimal Addition

The required sum is 13.2


2. Add 14.539, 5 and 3.8

Step I:

Write the numbers vertically aligning on the decimal points.

Write equivalent decimals of 5 and 3.8 up to three places.

5 = 5.000                      3.8 = 3.800

Add thousandths

9 + 0 + 0 = 9. Write 9 under thousandths

Add hundredths

3 + 0 + 0 = 3. Write 3 under hundredths

 Add tenths

5 + 0 + 8 = 13. Write 3 under tenths and carry 1 to ones place.

Add ones.

4 + 5 + 3 + 1 = 13. Write 3 under ones and carry 1 to tens place.

 Add tens.

1 + 1 = 2. Write 2 under tens.

Addition of Decimals

The required sum is 23.339


3. Add 46.25, 108.45 and 456.62

We arrange the digits of decimals in columns and then we add the numbers as usual.

                4 6 . 2 5

              1 0 8 . 4 5

          +  4 5 6 . 6 2

              6 1 1 . 3 2


While adding we ensure that the decimal point of all the numbers should be in the same column.

Sometimes the numbers to be added may not have digits for each column. In such case, we can add zero at the extreme right or left of a given decimal number.


4. Add 230.45, 189.568 and 25.709

Here we will see adding decimals in two ways. We arrange the digits of decimals in columns and then we add the numbers as usual.

       2 3 0 . 4 5

       1 8 9 . 5 6 8

     +   2 5 . 7 0 9

        4 4 5 . 7 2 7


Or,

       2 3 0 . 4 5 0

       1 8 9 . 5 6 8

    + 0 2 5 . 7 0 9

       4 4 5 . 7 2 7


Questions and Answers on Addition of Decimals:

I. Add the following:

(i) 7.9 + 2.8 + 3.2 + 16.8 = ..............

(ii) 83.1 + 18.2 + 45.4 + 14.7 = ..............

(iii) 24.35 + 19.10 + 28.39 + 5.40 = ..............

(iv) 10.00 + 1.05 + 2.30 + 8.75 = ..............


Answer:

I. (i) 30.70

(ii) 161.40

(iii) 77.24

(iv) 22.10





4th Grade Math Activities

From Addition of Decimals to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

  1. Counting Numbers from 1 to 50 | Match the Number | Missing Numbers

    Apr 04, 25 03:46 PM

    Math Coloring Pages on Counting Number Oredr
    In counting numbers from 1 to 50, recognize the numbers, count and then join the numbers in the correct number order. Here we mainly need eye-hand coordination to draw the picture and maintain the num

    Read More

  2. Counting Eleven to Twenty with Numbers and Words |Numbers from 11 - 20

    Apr 04, 25 03:21 PM

    Counting eleven to twenty with numbers and words are explained below. One ten and one more is eleven. Eleven comes after ten. One ten and two more is twelve. Twelve comes after eleven.

    Read More

  3. 5th Grade BODMAS Rule Worksheet | PEMDAS | Order of operations|Answers

    Apr 03, 25 03:11 PM

    5th Grade BODMAS Rule Worksheet
    In 5th Grade BODMAS Rule Worksheet you will get different types of problems on mathematical expressions involving different operations, mathematical expression with 'brackets' and 'of' and simplifying…

    Read More

  4. Worksheet on Simplification | Simplify Expressions | BODMAS Questions

    Apr 03, 25 02:58 PM

    Worksheet on Simplification
    In worksheet on simplification, the questions are based in order to simplify expressions involving more than one bracket by using the steps of removal of brackets. This exercise sheet

    Read More

  5. Divisible by 2 Video |Test of Divisibility by 2 Trick| Rules| Examples

    Apr 03, 25 10:25 AM

    Divisible by 2
    A number is divisible by 2 if the digit at unit place is either 0 or multiple of 2. So a number is divisible by 2 if digit at its units place is 0, 2, 4, 6 or 8.

    Read More