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

**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.

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.

**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.

**Answers: 2208.587**

**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.

**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

**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

**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

**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

**Answers: 147.08**

**●** **Decimal.**

Expanded form of Decimal Fractions.

Changing Unlike to Like Decimal Fractions.

Comparison of Decimal Fractions.

Conversion of a Decimal Fraction into a Fractional Number.

Conversion of Fractions to Decimals Numbers.

Addition of Decimal Fractions.

Problems on Addition of Decimal Fractions

Subtraction of Decimal Fractions.

Problems on Subtraction of Decimal Fractions

Multiplication of a Decimal Numbers.

Multiplication of a Decimal by a Decimal.

Properties of Multiplication of Decimal Numbers.

Problems on Multiplication of Decimal Fractions

Division of a Decimal by a Whole Number.

Division of Decimal Fractions by Multiples.

Division of a Decimal by a Decimal.

Division of a whole number by a Decimal.

Properties of Division of Decimal Numbers

Problems on Division of Decimal Fractions

Conversion of fraction to Decimal Fraction.

**5th Grade Numbers Page**

**5th Grade Math Problems**

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