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1.6 Multiplying and Dividing Real Numbers

1.6 Multiplying and Dividing Real Numbers. Objective: SWBAT use the properties of multiplication and division. Mini Quiz 6. Simplify -5 + (-2) – (-3) Simplify Evaluate when m = 2 and n = -3. Properties of Multiplication. Identity Property of Multiplication For every real number n,

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1.6 Multiplying and Dividing Real Numbers

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  1. 1.6 Multiplying and Dividing Real Numbers Objective: SWBAT use the properties of multiplication and division.

  2. Mini Quiz 6 • Simplify -5 + (-2) – (-3) • Simplify • Evaluate when m = 2 and n = -3

  3. Properties of Multiplication • Identity Property of Multiplication For every real number n, 1 • n = n and n • 1 = n • Multiplication Property of Zero For every real number n, n • 0 = 0 and 0 • n = 0 • Multiplication Property of -1 For every real number n, -1 • n = -n and n • -1 = -n • Inverse Property of Multiplication For every nonzero real number n, there is a multiplicative inverse such that

  4. Multiplying Negatives – + (+)(+) = ? (–)(+) = ? What about… (–)(–)(–)(–)(–) = ? (+)(–) = ? (–)(–) = ? + – *Odd number of negatives = - Even number of negatives = + –

  5. Multiplying Numbers 36 • -9(-4) = • 4(-6) = • -4.9(-8) = -24 39.2

  6. Try These… Evaluate each expression for c = -8 and d = -7 • -2cd • (-2)(-1)(cd) • c(-d) -112 112 -56

  7. Exponential Expressions Write in Expanded Form and Simplify: (-3)(-3)(-3)(-3) = 81 -3•3•3•3 = -81 (-0.3)(-0.3) = 0.09

  8. Dividing Numbers • -42 ÷ 7 = • -8 ÷ (-2) = • 8 ÷ (-8) = • -39 ÷ (-3) = -6 4 -1 13

  9. Division Using the Reciprocal 17. Evaluate for and

  10. Wrap Up • Properties of Multiplication • Multiply Positive and Negative Numbers • (+) (+) = + • (+) (–) = – • (–) (+) = – • (–) (–) = + • Exponential Expressions • Dividing Positive and Negative Numbers • Dividing Fractions Homework: P. 41 #1-61 EOO, 101-109 odd Write a DLUQ and answer the Question: If you multiply an even number of negatives, is the answer positive or negative?

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