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Multiplication and Division of Integers

Multiplication and Division of Integers. Here ’ s a way I can Remember!. To remember whether your answer will be positive or negative when MULTIPLYING or DIVIDING , we ’ ll use:. Hi I’m BOB!. When multiplying Integers, cover the Two signs you are using. Choral Response.

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Multiplication and Division of Integers

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  1. Multiplication and Division of Integers

  2. Here’s a way I can Remember! • To remember whether your answer will be positive or negative when MULTIPLYING or DIVIDING, we’ll use: Hi I’m BOB!

  3. When multiplying Integers, cover the Two signs you are using Choral Response What sign is left uncovered? Ex.: 5 (-3) Negative, - That is the sign of The answer = -15

  4. Practice … (-10)(3) = 21  -5 = -13  -6 =

  5. Division It’s not any different! Good News: Ex.: -48  (-4) = + 12

  6. Reminder: Equal means it works both ways! 

  7. (4)(-7)  (-2) First, (4)(-7) = - 28 Finish it!(-28)(-2) Grade your boss’ work… Answer: 14

  8. = 4 (-56  7)  - 2 = 210 5  -7  -6 = - 135

  9. Properties of Multiplication • Mult Identity a  1 = aand 1  a = a • Zero Property a  0 = 0and 0  a = 0 • Property of -1 a(-1) = -aand(-1)a = -a

  10. Distributive Property How will we use this with integer multiplication? • a (b+c) = ab + bc • -1 (5 + 7) = (-1)5 + (-1)7 Also, -7 = (-1)7

  11. Here’s How to Use It Ex.: (3+-4) 6 (-1) (6) = - 6

  12. Your turn • Find the answer: • 3(-2+5) = • 8(3+-6) = 9 -24

  13. Multiplying Fractions

  14. Multiplying Fractions • When multiplying fractions, they do NOT need to have a common denominator. • To multiply two (or more) fractions, multiply across, numerator by numerator and denominator by denominator. • If the answer can be simplified, then simplify it. • Example: • Example:

  15. 1 1 Simplifying Diagonally • When multiplying fractions, we can simplify the fractions and also simplify diagonally. This isn’t necessary, but it can make the numbers smaller and keep you from simplifying at the end. • From the last slide: • An alternative: You do not have to simplify diagonally, it is just an option. If you are more comfortable, multiply across and simplify at the end.

  16. 1 1 Mixed Numbers • To multiply mixed numbers, convert them to improper fractions first.

  17. Try These: Multiply Multiply the following fractions and mixed numbers:

  18. Solutions: Multiply

  19. Change Operation. Flip 2nd Fraction. Dividing Fractions • When dividing fractions, they do NOT need to have a common denominator. • To divide two fractions, change the operation to multiply and take the reciprocal of the second fraction (flip the second fraction). Keep-Change-Change.

  20. Try These: Divide • Divide the following fractions & mixed numbers:

  21. Solutions: Divide

  22. Homework • Page 67, #9-10 • Page 68, # 13, 15 • Page 69, #25 (do NOT do f, h, m, n, r) • Page 70, # 26, 27 • Page 72, # 44 (a-c, j-l) • Page 86, # 2-10 • Page 87, #13-18

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