1. Divide Rational Numbers Without models

2. How many groups of 0.3 are in 0.6? This problem is equivalent to 0.6 ÷ 0.3. You can use a grid to model this division by circling groups of 0.3 and counting the number of groups. There are 2 groups of 0.3 in 0.6, so 0.6 ÷ 0.3 = 2. Previously on Dividing Fractions

3. When you divide two numbers, you can multiply both numbers by the same power of ten without changing the final answer. Multiply both 0.6 and 0.3 by 10: 0.6 · 10 = 6and0.3 · 10 = 3 0.6 ÷ 0.3 = 2 and6 ÷ 3 = 2 By multiplying both powers by the same power of ten, you can make the divisor an integer. Dividing by an integer is much easier than dividing by a decimal.

4. Divide. Insert Lesson Title Here 6.45 ÷ 0.5 ) 64.5 5 1 5 – 14 –10 6.45 ÷ 0.5 2 4 5. 9 –4 5 0 Multiply both numbers by 10 to make the divisor an integer. Divide as with whole numbers. = 64.5 ÷ 5

5. Divide. Estimate to check whether each answer is reasonable. 4 ÷ 1.25 4.00 ÷ 1.25 = 400 ÷ 125 Multiply both numbers by 100. ) 125 400.0.0 Use zero as a placeholder. 3 –375 25 0 –25 0 0 Divide as with whole numbers. Estimate4 ÷ 1 = 4 The answer is reasonable.. 2

6. Lets take what we know of decimals and apply it to fractions 0.6 ÷ 0.3 = 2. 06/10 ÷ 3/10 = 2. 3 5 3 10 ÷ = 1 1/2 How many halves are in one whole? 2 This process is very confusing so mathematicians came up with RECIPROCALS. You could put all fractions into decimals, but not all fractions become nice decimals and the problem will be harder

7. Reciprocals can help you divide by fractions. Two numbers are reciprocals if their product is 1. The reciprocal of is because 1/3 1313 · 3 = 1313 · 3131 = 3333 = 1. To divide by a fraction, find its reciprocal and then multiply. 2 ÷ 1313 = 2 · 3 = 6 3

8. Divide. Write each answer in simplest form. A. 3737 ÷ 2525 3737 ÷ 2525 = 3737 · 5252 = 3737 · 5 · 2 = 15 14 or 1 14 1 Multiply by the reciprocal of. 2525 B. 3838 ÷ 12 3838 ÷ = 3838 · 1 = 3838 · 1 1 4 = Multiply by the reciprocal of 12. 1 32 Simplify.

9. Divide. Write each answer in simplest form. A. 3535 ÷ 1212 3535 ÷ 1212 = 3535 · 2121 = 3535 · 2 · 1 = 6565 or 1 5 1 Multiply by the reciprocal of. 1212 B. 3434 ÷ 3 3434 ÷ 3 = 3434 · 1 3 = 3434 · 1 3 1 1 = Multiply by the reciprocal of 3. 1 4 Simplify.

10. Divide. Write each answer in simplest form. Insert Lesson Title Here A.5 2323 ÷ 1 1414 5 2323 ÷ 1 1414 = 17 3 ÷ 5454 = 17 3 · 4545 = 68 15 or 4 8 15 Write mixed numbers as improper fractions. Multiply by the reciprocal of 5454 B. 3434 ÷ 2 1212 3434 ÷ 2 1212 = 3434 ÷ 5252 = 3 4 · 2525 = 3·2 4·5 1 2 = 3 10 Write 2 as an improper fraction. 1212 Multiply by the reciprocal of. 5252 Simplify..

11. Divide. Write the answer in simplest form. C. 8 2323 ÷ 13 27 8 2323 ÷ 13 27 = 26 3 ÷ 13 27 = 26 3 · 27 13 9 1 2 1 = 18 1 or 18 Write 8 as an improper fraction. 2323 Multiply by the reciprocal of. 13 27 = 26 3 · 27 13 ·

12. Lesson Quiz Divide. Estimate to check whether each answer is reasonable. 1. 78.2 ÷ 0.04 2. –9.72 ÷ 2.7 3. 18.88 ÷ 1.6 4. 19.5 ÷ 3.25 5. Jordan used 32.46 gallons of gas to drive his van 584.28 miles. How many miles did Jordan get per gallon? –3.6 1,995 Insert Lesson Title Here 11.8 6 18 Course 2 3-5 Dividing Decimals and Integers by Decimals

13. Notes start here

14. Divide Rational Numbers Without models Date __________

15. EX 1) Divide. Insert Lesson Title Here 6.45 ÷ 0.5 1. Multiply both numbers by __ to make the divisor an integer. 2. Divide as with _____ _______.

16. Divide. Estimate to check whether each answer is reasonable. EX 2) 4 ÷ 1.25 Multiply both numbers by ___. Use ____as a placeholder. Divide as with whole numbers. Estimate4 ÷ 1 = 4

17. ___________ can help you divide by fractions. Two numbers are ___________if their product is __. The reciprocal of is because 1313 · 3 = 1313 · 3131 = 3333 = 1. To divide by a fraction, find its __________ and then multiply. 2 ÷ 1313 = 2 =

18. Divide. Write each answer in simplest form. EX 3). 3737 ÷ 2525 1. Multiply by the __________ of EX 4) 2. Multiply by the __________ of 12. 3. _________

19. Divide. Write each answer in simplest form. EX 5) EX 6)

20. Divide. Write each answer in simplest form. EX 6) EX 7)

21. Divide. Write the answer in simplest form. EX 8 ).