CONCEPTUAL ARITHMETIC METHODS WITH DECIMALS Division Division with

Division with decimals The following techniques will be covered in this presentation: �Converting to

$Technique 1 Converting to fractions and using fraction division$

Example 1: Find the quotient 5. 31 ÷ 0. 3 Rewrite the divisor and

Example 2: Find the quotient 10. 5 ÷ 1. 25 1. Rewrite the divisor

Example 3: Find the quotient 76. 5 ÷ 3. 06 1. Rewrite the divisor

Technique 2 Common denominator division with integer division

Example 4: Find the quotient 27. 6 ÷ 3. 2 1. Convert each decimal

Example 5: Find the quotient 85. 2 ÷ 0. 25 1. Convert each decimal

Slides: 9

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CONCEPTUAL ARITHMETIC METHODS WITH DECIMALS Division

Division with decimals The following techniques will be covered in this presentation: �Converting to fractions and using fraction division (and possibly integer division) �Common denominator division with integer division

$Technique 1 Converting to fractions and using fraction division$

Technique 1 Converting to fractions and using fraction division

Example 1: Find the quotient 5. 31 ÷ 0. 3 Rewrite the divisor and dividend as fractions. Perform the fraction division – simplify if you can

Example 2: Find the quotient 10. 5 ÷ 1. 25 1. Rewrite the divisor and dividend as fractions. 2. Perform the fraction division – simplify if you can 3. or use integer division to finish the problem off…

Example 3: Find the quotient 76. 5 ÷ 3. 06 1. Rewrite the divisor and dividend as fractions. 2. Perform the fraction division – do any easy reductions 3. Integer division to finish the problem off…

Technique 2 Common denominator division with integer division

Example 4: Find the quotient 27. 6 ÷ 3. 2 1. Convert each decimal to fraction form: 2. Since the fractions share a common denominator, so we can simply divide the numerators. 3. Finish the problem using integer division methods.

Example 5: Find the quotient 85. 2 ÷ 0. 25 1. Convert each decimal to fraction form: 2. Rewrite with a common denominator, then divide the numerators. 3. Finish the problem using integer division methods.