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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.
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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
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 thequotient 27.6 ÷ 3.2 • Convert each decimal to fraction form: • Since the fractions share a common denominator, so we can simply divide the numerators. • Finish the problem using integer division methods.
Example 5: Find thequotient 85.2 ÷ 0.25 • Convert each decimal to fraction form: • Rewrite with a common denominator, then divide the numerators. • Finish the problem using integer division methods.