Equivalent decimal fractions are unlike fractions which are equal in value.

Let us take a plane sheet which represents one whole. Now, we divide the sheet into 10 equal parts.

The colored part in the above figure represents two-tenths of the whole or 0.2.

We
now further divide the part into 10 equal parts. There are now 100 equal parts.

The colored part in figure B represents the fraction \(\frac{20}{100}\) or 0.02. Same way, if we divide further there will be 1000 equal parts and the colored part will represent \(\frac{200}{1000}\) or 0.200. The decimals 0.2, 0.20 and 0.200 are equivalent decimals. So, placing any number of zeroes to the right of the decimal part does not change its value.

**Let us consider the following examples:**

**(i)** 0.4, 0.40, 0.400, 0.4000

Each of the above is equal to 0.4 or 4/10.**(ii)** 1.9, 1.90, 1.900, 1.9000

Each of the above is equal to 1.9 or 19/10.**(iii)** 10.14, 10.140, 10.1400, 10.14000

Each of the above is equal to 10.14 or 1014/100.

**(iv)** 0.94, 0.940, 0.9400, 0.94000

Each of the above is equal to 0.94 or 94/100.**(v)** 9.1, 9.10, 9.100, 9.1000

Each of the above is equal to 9.1 or 91/10.**(vi)** 60.49, 60.4900, 60.490

Each of the above is equal to 60.49 or 6049/100.

Similarly, we have

0.300 = 0.30 = 0.3

0.700 = 0.70 = 0.7

0.200 = 0.20 = 0.2

Thus,
by adding any number of zeros after the extreme right digit in the
decimal part of a decimal number does not change the value of the
number. **Numbers obtained by inserting zeros after the extreme
right digit in the decimal part of a decimal number are known as
equivalent decimals.**

Hence, 0.75, 0.750, 0.7500 etc are equivalent decimals.

**● 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 Math Problems **

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