Dividing Decimals using Long Division with Whole Numbers
When the divisor is a whole number, follow these steps:
- Place the decimal point in the quotient directly over the decimal point in the dividend.
- Then divide the numbers as if they were whole numbers.
For example:
Dividend: 40
Divisor: 120.5
0.045 - Quotient
If the power of 10 is a whole number such as 100 or 1000, move the decimal point as many places to the right as there are 0's in the power of 10.
For example:
734.582 × 100 = 734,582
0.250,0016
Dividing Decimals using Long Division with Decimal Divisors
When the divisor is a decimal, follow these steps:
- Move the decimal point in the divisor until it becomes a whole number.
- Move the decimal point of the dividend the same number of places to the right.
- Place the decimal point in the quotient directly over the decimal point in the dividend.
- Finally, divide the numbers as if they were whole numbers.
For example:
Dividend: 6.4
Multiplying Decimals by the Powers of 10
To multiply decimals by the powers of 10, follow these steps:
- Multiply both numbers by the same power of 10 to make them whole numbers.
- If the power of 10 is a decimal, such as 0.1 or 0.01, move the decimal point as many places to the left as there are decimal places in the power of 10.
For example:
734.582 × 0.01 = 7,34582
0.3 × 4.2176
20 - 4
136
