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3. Decimals Copyright©2001 Lynda Greene

4. Decimals Dividing

5. Setup: Setup: There are different ways a division problem can be written. Whether it has a decimal or not, you still have to know where each number belongs so you can set up the problem correctly. the first number goes inside the division symbol Types: Number sentence form: Fraction form: the top number goes inside the division symbol Word problem form : An object 3.8 feet long is cut into 2 pieces. the original length goes inside the division symbol

6. There are two types of decimal division problems: The OUTSIDE number is the divisor We will now learn the “decimal-outside” type The divisor has no decimal The divisor has a decimal

7. TYPE 2 Dividing when the divisor has a decimal (The divisor is the outside number)

8. Divisor has a decimal: Step 1: Write the problem using a division symbol Step 4: Take the inside decimal straight up. Step 5: Divide as if the decimal was never there 3 - 12 0 8 - 8 0 2 The Answer is on top You can leave the decimal off when there are no numbers to the right. = 32 Step 2: Move the outside decimal all the way to the right (next to the division bar) move two places to the right Step 3: Move the inside decimal the same number of places to the right. move two places to the right.

9. Divisor has a decimal: Step 1: Write the problem using a division symbol Step 4: Take the inside decimal straight up. Step 5: Divide as if the decimal was never there 5 - 27 4 5 - 45 0 3 The Answer is on top Step 2: Move the outside decimal all the way to the right (next to the division bar) move one place to the right. Step 3: Move the inside decimal the same number of places to the right. move one place to the right

10. Divisor has a decimal: Step 1: Write the problem using a division symbol Step 2: Move the outside decimal all the way to the right (next to the division bar) move one place to the right Step 3: Move the inside decimal the same number of places to the right. move one place to the right But, there’s no decimal inside to move to the right! Yes there is, remember that when there is no decimal showing, there is really an invisible decimal to the right of the last digit. Just write it as 56. and continue. But, there are no numbers behind the 56, how can we move past nothing! Write a zero behind the decimal, (56.0) then move the decimal one place to the right and continue.. 0

11. Step 4: Take the inside decimal straight up Step 5: Divide as if the decimal was never there 0 - 56 0 - 00 0 2 The Answer is on top.. 0 Continuing:

12. Practice Problems: (Hit enter to see the answers) 1)3.64 ÷ 7 5) 17 ÷.0005 2).56 ÷ 23 6) 7.638 ÷.57 3).896 ÷.08 7) 257.4 ÷.003 4) 7.2808 ÷ 7.6 8) 28.8 ÷ 1.62 Answers: 1).52 2).02 3) 11.2 4).958 5) 34,000 6) 13.4 7) 85,800 8) 17.7777... Number 8 can be written as: 17.8 (rounded to the nearest tenth), or 17.7 (repeating decimal)

13. End of Tutorial Go to www.greenebox.comwww.greenebox.com for more great math tutorials for your home computer Questions? send e-mail to: lgreene1@satx.rr.com lgreene1@satx.rr.com