1. Decimal Division

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

3. Example 1: Traditional 2.07 ÷ 0.003 The first decimal goes “in the house” (Dividend is the Den) The second decimal goes in front of the house 2.07 0.003

4. 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 2.070.003 2.07 300.00.. 207

5. Example 1: Traditional/Partial Quotients 2070 3 3 6 -18 2 7 9 -27 0 0 0 00 0 600 -1800 270 -270 0 90____ 690 Both methods show an answer close to our estimate of 700

6. 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 = 7 2.07 0.3 20.7 3

7. Example 2: Traditional 20.7 3. 1. Put decimal point directly above the one in the Den. 2.Does 3 go into 2? No. 3.Does 3 go into 20? Yes. 0 -18 2 6 7 4.Does 3 go into 27? Yes. -27 0 9 6.9 is close to our estimate of 7

8. Example 2: Partial Quotients 20.7 3 1. Forget about decimal until the end. 3. Divide with benchmarks 3 x 50 = 150 5 0 3 x 10 = 30 -150 57 1 0 -30 27 3 x 9 = 27 9 -27 0 6 9 4. Since our estimate was 7, place decimal point between the 6 and the 9 Answer: 6.9 2. Estimate: 21 ÷ 3 = 7

9. Example: Let’s try: 0.125 ÷ 0.05 Move decimal point so that the divisor (0.05) is a whole number Estimate: 10 ÷ 5 = 2 Try your method 512.5

10. –What to do if there is a number leftover? 6.7 ÷ 0.2 1.Start the same…house/move decimal points/make estimate 6.7 0.2 67 2 Estimate: 70/2 = 35

11. 67 2 2 -6 0 3 7 3 10 5 -10 0 0 3 0 -60 7 3 -6 1 0 0 5 -10 0 3 3 5 Estimate: 35 Where does the decimal go?