Let us observe the decimal and fractional expansion in the place-value chart in case of decimal numbers is represented as follows:

To expand the given decimal number, arrange it in the place value chart and expand. The explanation will help us to understand both the decimal expansion and the fractional expansion.

**1.** Write the decimal and fractional expansion of 284.361.

**Solution: **

In **decimal expansion: **

2 × 100 + 8 × 10 + 4 × 1 + 3 × 1/10 + 6 × 1/100 + 1 × 1/1000

200 + 80 + 4 + 3/10 + 6/100 + 1/1000

200 + 80 + 4 + 0.3 + 0.06 + 0.001

In **fractional expansion:**

2 × 100 + 8 × 10 + 4 × 1 + 3 × 1/10 + 6 × 1/100 + 1 × 1/1000

200 + 80 + 4 + 3/10 + 6/100 + 1/1000

● **Related Concept **

● Decimals

● Conversion of Unlike Decimals to Like Decimals

● Decimal and Fractional Expansion

● Converting Decimals to Fractions

● Converting Fractions to Decimals

● H.C.F. and L.C.M. of Decimals

● Repeating or Recurring Decimal

● BODMAS/PEMDAS Rules - Involving Decimals

● PEMDAS Rules - Involving Integers

● PEMDAS Rules - Involving Decimals

● BODMAS Rules - Involving Integers

● Conversion of Pure Recurring Decimal into Vulgar Fraction

● Conversion of Mixed Recurring Decimals into Vulgar Fractions

● Rounding Decimals to the Nearest Whole Number

● Rounding Decimals to the Nearest Tenths

● Rounding Decimals to the Nearest Hundredths

● Simplify Decimals Involving Addition and Subtraction Decimals

● Multiplying Decimal by a Decimal Number

● Multiplying Decimal by a Whole Number

● Dividing Decimal by a Whole Number

● Dividing Decimal by a Decimal Number

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