Divide Decimals

Dividing Decimals by Powers of Ten:

If you divide a decimal number by 10, the decimal point moves 1 place to make the number smaller
(for example 2345.6 ÷ 10 = 234.56).

If you divide a decimal number by 100, the decimal point moves 2 places to make the number smaller
(for example 2345.6 ÷ 100 = 23.456).

If you divide a decimal number by 1000, the decimal point moves 3 places to make the number smaller
(for example 2345.6 ÷ 1000 = 2.3456).

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Dividing Decimals by Other Whole Numbers:

Example One - Price of Strawberries

3 kilograms of strawberries cost $19.65. What is the price of one kilogram?

Answer:
$19.65 ÷ 3 = $6.55

Dividing Decimals by Decimals:

Example Two - Injection Doses

A glass vial contains 45.5 millilitres of medicine. Each injection requires 0.5 millilitres. How many injections can be given from one glass vial?

Answer:

=	45.5
	0.5

=	455	(Multiply both the numerator and the denominator by 10 to get rid of the decimal in the denominator.)
	5

= 91 injections

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Example Three - Smaller Injection Doses

Using the same-sized glass vial containing 45.5 millilitres of medicine, each injection has 0.05 millilitres. How many injections can be given from one glass vial?

Answer:

=	45.5
	0.05

=	4550	(Multiply both the numerator and the denominator by 100 to get rid of the decimal in the denominator.)
	5

= 910 injections