Decimal Division

Types of Decimal Division 1) Traditional 2) Partial Quotients 3) Fractional Notation

Example 1: Traditional 2.07 ÷ The first decimal goes “in the house” (Dividend is the Den) The second decimal goes in front of the house

Example 1: Traditional MMove the decimal point of each decimal until the divisor is a whole number, adding zeros to dividend if necessary EEstimate 2100 ÷ 3 = 700 SSince all decimal points are at the end of the numbers, divide normally – see next slide

Example 1: Traditional/Partial Quotients ____ 690 Both methods show an answer close to our estimate of 700

Example 2: Traditional & Partial Quotients Let’s try an example where a decimal point remains in the dividend (Den) 2.07 ÷ 0.3 More decimal in divisor and dividend over 1 place. Estimate: 21 ÷ 3 =

Example 2: Traditional Put decimal point directly above the one in the Den. 2.Does 3 go into 2? No. 3.Does 3 go into 20? Yes Does 3 go into 27? Yes is close to our estimate of 7

Example 2: Partial Quotients Forget about decimal until the end. 3. Divide with benchmarks 3 x 50 = x 10 = x 9 = Since our estimate was 7, place decimal point between the 6 and the 9 Answer: Estimate: 21 ÷ 3 = 7

Example: Let’s try: ÷ 0.05 Move decimal point so that the divisor (0.05) is a whole number Estimate: 10 ÷ 5 = 2 Try your method 512.5

–What to do if there is a number leftover? 6.7 ÷ Start the same…house/move decimal points/make estimate Estimate: 70/2 = 35

Estimate: 35 Where does the decimal go?