Addition of Decimal Fractions

In addition of decimal fractions we will discuss here how to add two or more decimals.

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 numbers.

The rules of adding decimal numbers are:

(i) Write the digits of the given numbers one below the other such that all the decimal points are in the same vertical line.

(ii) Add as we add whole numbers.

(iii) Put the decimal point of the sum vertically below the other decimal points.

Let us consider some of the following examples on addition of decimal numbers.

1. Add 14.02, 198.3, 394.051.

First convert all the decimals to be added into like decimals i.e. 14.02 into 14.020, 198.3 into 198.300 and 394.051 will remain same.

14.020 + 198.300 + 394.051

Now write the decimals in column in such a way that the decimal points of all the decimals are in the same column and then add the decimal ignoring the decimal point.

$Convert Unlike Decimals into Like Decimals$

Atlast, put the decimal point in the sum directly under the decimal points of all the decimals.

Answers: 606.371

2. Add $ 205.40, $ 80.75 and $ 1493.50.

Here, all the decimal numbers are in like decimals.

$ 205.40 + $ 80.75 + $ 1493.50

Now write the decimals in column in such a way that the decimal points of all the decimals are in the same column and then add the decimal ignoring the decimal point.

$Addition of Decimal Fractions$

Answers: 1779.65

3. Add 143.21; 89.025;1001.002; 975.35

Here, all the decimal numbers are in like decimals.

143.210 + 89.025 + 1001.002 + 975.350

Now write the decimals in column and add as we add whole numbers.

$Adding with Decimal Fractions$

Answers: 2208.587

$Addition of Decimal Fractions$

4. Add: 7.035; 8005.007; 91.71; 15.9142

First convert all the decimals to be added into like decimals i.e. 7.035 into 7.0350, 8005.007 into 8005.0070, 91.71 into 91.7100 and 15.9142 will remain as it is.

7.0350 + 8005.0070 + 91.7100 + 15.9142

Now write the decimals in column and add as we add whole numbers.

$Adding Decimals$

Answers: 8119.6662

5. Add: 81.71; 198.001; 2071.1945; 9.09

Convert all the decimals to be added into like decimals i.e. 81.71 into 81.7100, 198.001 into 198.0010, 2071.1945 will remain as it is and 9.09 into 9.0900.

81.7100 + 198.0010 + 2071.1945 + 9.0900

$Addition of Decimal Fractions$

Answers: 2359.9955

6. Add: 43.91; 108.431; 832.01

Convert all the decimals to be added into like decimals i.e. 81.71 into 81.7100, 198.001 into 198.0010, 2071.1945 will remain as it is and 9.09 into 9.0900.

43.910 + 108.431 + 832.010

$Add Decimals$

Answers: 984.351

7. Add: 91.4; 31.83; 101

Convert all the decimals to be added into like decimals.

91.40 + 31.83 + 101.00

$Decimal Addition$

Answers: 224.23

8. Add: 79.03; 13; 55.05

Convert all the decimals to be added into like decimals.

79.03 + 13.00 + 55.05

$Addition of Decimal Number System$

Answers: 147.08

$Decimal Addition$

9. Add 19.405; 20.21 and 8.1

Solution:

Converting the given decimals into like decimals, we get 19.405; 20.210 and 8.100

Hence, 19.405 + 20.210 + 8.100 = 47.715

$Addition Decimals$

10. Add $15.25; $60.98 and $10.5

Solution:

Converting the given decimals into like decimals, we get $15.25; $60.98 and $10.50

Hence, 15.25 + 60.98 + 10.50 = $86.73

11. Complete the given magic square. The sum of all rows and column is 9.0.

$Decimal Magic Squares$

Solution:

$Decimal Magic Squares$

Sum of the first row = 4.8 + 0.6 + 3.6 = 9

Sum of the second row = 1.8 + 3.0 + 4.2 = 9

Sum of the third row = 2.4 + 5.4 + 1.2 = 9

Again,

Sum of the first column = 4.8 + 1.8 + 2.4 = 9

Sum of the second column = 0.6 + 3.0 + 5.4 = 9

Sum of the second column = 3.6 + 4.2 + 1.2 = 9

You might like these

5th Grade Decimals Worksheet | Operations on Decimals | Comparing |Ans

In 5th Grade Decimals Worksheet contains various types of questions on operations on decimal numbers. The questions are based on formation of decimals, comparing decimals, Converting Fractions to Decimals, Addition of decimals, subtraction of decimals, multiplication of
Comparison of Decimal Fractions | Comparing Decimals Numbers | Decimal

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
Expanded form of Decimal Fractions |How to Write a Decimal in Expanded

Decimal numbers can be expressed in expanded form using the place-value 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.
Division of Decimal Fractions | Decimal Point | Division of Decimal

Division of a decimal number by 10, 100 or 1000 can be performed by moving the decimal point to the left by as many places as the number of zeroes in the divisor. The rules of division of decimal fractions by 10, 100, 1000 etc. are discussed here.
Simplification in Decimals |PEMDAS Rule | Examples on Simplification

Simplification in decimals can be done with the help of PEMDAS Rule. From the above chart we can observe that first we have to work on "P or Parentheses" and then on "E or Exponents", then from
Worksheet on Decimal Word Problems |Prob Involving Order of Operations

Solve the questions given in the worksheet on decimal word problems at your own space. This worksheet provides a mixture of questions on decimals involving order of operations
Worksheet on Dividing Decimals | Huge Number of Decimal Division Prob

Practice the math questions given in the worksheet on dividing decimals. Divide the decimals to find the quotient, same like dividing whole numbers. This worksheet would be really good for the students to practice huge number of decimal division problems.
Division of a Decimal by a Whole Number | Rules of Dividing Decimals

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.
Worksheet on Multiplication of Decimal Fractions |Multiplying Decimals

We will practice the questions given in the worksheet on multiplication of decimal fractions. While multiplying the decimal numbers ignore the decimal point and perform the multiplication as usual and then put the decimal point in the product to get as many decimal places in
Multiplication of a Decimal by a Decimal |Multiplying Decimals Example

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.
Multiplication of Decimal Numbers | Multiplying Decimals | Decimals

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.
Multiplication of a Decimal by 10, 100, 1000 | Multiplying decimals

The working rule of multiplication of a decimal by 10, 100, 1000, etc... are: When the multiplier is 10, 100 or 1000, we move the decimal point to the right by as many places as number of zeroes after 1 in the multiplier.
Worksheet on Subtraction of Decimal Fractions | Subtracting Decimals

We will practice the questions given in the worksheet on subtraction of decimal fractions. While subtracting the decimal numbers convert them into like decimal then subtract as usual ignoring decimal point and then put the decimal point in the difference directly under the
Worksheet on Addition of Decimal Fractions | Word Problems on Decimals

We will practice the questions given in the worksheet on addition of decimal fractions. While adding the decimal numbers convert them into like decimal then add as usual ignoring decimal point and then put the decimal point in the sum directly under the decimal points of all
Subtraction of Decimal Fractions |Rules of Subtracting Decimal Numbers

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