# Expansion of Decimals

Expansion of decimals are discussed here.The expansion of number without decimal is

4,857 = 4 thousand + 8 hundred + 5 tens + 7 ones

4,857 = 4000 + 800 + 50 + 7

According to the place value the decimal numbers can written in an expanded form.

**Examples :**

2572.678 = 2 thousand + 5 hundred + 7 tens + 2 ones + 6 tenths + 7 hundredths + 8 thousandths

= 2000 + 500 + 70 + 2 + 6/10 + 7/100 + 8/1000 -->(Fractional expansion)

2000 + 500 + 70 + 2 + 0.6 + 0.07 + 0.08 -->Decimal expansion

**Write in expanded form :**

1) 125.84

**Solution :**

125.84 = 1 hundred + 2 tens + 5 ones + 8 tenths + 4 hundredths

= 100 + 20 + 5 + 8/10 + 4/100

2) 0.485

**Solution :**

0.485 = 0 ones + 4 tenths + 8 hundredths + 5 thousandths

= 0 + 4/10 + 8/100 + 5/1000

= 4/10 + 8/100 + 5/1000

3) 9.9

**Solution :**

9.9 = 9 ones + 9 tenths

= 9 + 9/10

**Expanded form to decimal form :**

1)Check the places of the given number in whole part.

2)Write that in expanded form.

3) Check the place values of fractional part and then write them after decimal point.

**Example :**

200 + 50 + 9 + 1/10 + 3/100 + 6/1000

2 = hundred place

5 = tens place

9 = ones place

1 = tenths place

3 = hundredths place

6 = thousandths place

200 + 50 + 9 + 0.1 + 0.03 + 0.006

= 259.136

In words : Two hundred fifty two point one hundred thirty six.

**Write as decimal numbers :**

1) 70 + 3 + 2/100 + 7/1000

**Solution :**

**73.027**

2) 256 + 5/1000

**Solution :**

**256.005**

3) 7/10 + 3/100 + 5/1000

**Solution :**

**0.73**

4) 5000 + 400 + 30 + 2 + 1/10 + 2/100

**Solution :**

**5432.12**

**Decimals**

• Expansion of decimals

• Comparison of decimals

• Addition of Decimals

• Subtraction of Decimals

• Multiplication of Decimals

• Division of Decimals

• Conversion of decimals to fraction

Number System

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