1. Homework Answers 1.-5, -3, 0, 4 -15, -10, 30 How were able to… 2.C 3. > 4.A 5a. Celeste 5b.Jacob 5c.Celeste, Marion, Charlie, Jacob 5d.Jacob and Charlie 6.B 7.A 8.-18, -15, -14, -3, 2, 5, 34 9a. February 9b. July 9c. July, June, Aug, May, Sept, Oct, April, Nov, March, Dec, Jan, Feb 9d.Warmer 9e.December > Feb 9f.October < September 10.Juanita is correct because her number is farther to the right on the number line.

2. Multiply and Divide Rationals

3. Multiplying and Dividing Rationals Review multiplication and division rules. pos x pos= neg x neg= pos x neg= neg x pos=

4. (-0.41)(-8.5) 0.02(-4.62) You don’t need to line up the decimals Just multiply normally Count the number of digits to the right of the decimal in the problem. That will be the number of decimal places in the answer. Pos x negative = negative -0.0924 You don’t need to line up the decimals Just multiply normally Count the number of digits to the right of the decimal in the problem. That will be the number of decimal places in the answer. Negative x negative = Positive 3.485

5. 17 _ 12 20 34 This means to multiply Check for canceling first 12 and 20 are both divisible by 4, so 12 becomes 3 and 20 becomes 5 17 and 34 are both divisible by 17, so 17 becomes 1 and 34 becomes 2. 1 X -3 5 2 Top times the top Bottom times the bottom Positive x negative = negative -3/10

6. _ 5 1 6 2 2 Make 2 ½ into an improper fraction (2 x 2 + 1) = 5/2 Check for canceling. -5 X 5 -5 X 5 6 2 6 2 There is no canceling. Top times the top. Bottom times the bottom. -25/12 This is improper. Divide using top dog in the house Don’t forget the negative sign -2 1/12

7. B = -396 -36 28 (-4) 396 ÷ 36 = 11 Neg ÷ neg = pos 11 28 ÷ 4 = 7 Pos ÷ neg = neg -7

8. 7.32 (0.3) = q First number in the house 0.3 ) 7.32 Can’t have decimals in the number on the outside (divisor) Move that decimal over enough places to get it out of the number. Then, move the decimal on the inside number (dividend) the same number of times. Move the decimal straight up to the answer (quotient) Divide 73.2 ÷ 3 = 24.4

9. 1 5 2 8 6 1 Make fractions into improper fractions first 13 ÷ 13 2 8 2 8 When dividing fractions, don’t be shy. Flip the second number and multiply. 13 ÷ 8 2 13 Check for simplifying 13 and 13 are both divisible by 13. They both become a one 8 and 2 are both divisible by 2. 8 becomes a 4, 2 becomes a 1 1 · 4 1 1 Top times the top. Bottom times the bottom 4/1 simplifies to 4