1. CONCEPTUAL ARITHMETIC METHODS WITH DECIMALS Division

2. 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

3. Converting to fractions and using fraction division Technique 1

4. Example 1: Find the quotient 5.31 ÷ 0.3 Rewrite the divisor and dividend as fractions. Perform the fraction division – simplify if you can

5. 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…

6. 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…

7. Common denominator division with integer division Technique 2

8. 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.

9. 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.