1.6 Multiplying and Dividing Real Numbers

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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

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,

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

Multiplying Negatives

+

(+)(+) = ?

(–)(+) = ?

(–)(–)(–)(–)(–) = ?

(+)(–) = ?

(–)(–) = ?

+

*Odd number of negatives = -

Even number of negatives = +

Multiplying Numbers

36

• -9(-4) =
• 4(-6) =
• -4.9(-8) =

-24

39.2

Try These…

Evaluate each expression for c = -8 and d = -7

• -2cd
• (-2)(-1)(cd)
• c(-d)

-112

112

-56

Exponential Expressions

Write in Expanded Form and Simplify:

(-3)(-3)(-3)(-3)

= 81

-3•3•3•3

= -81

(-0.3)(-0.3)

= 0.09

Dividing Numbers
• -42 ÷ 7 =
• -8 ÷ (-2) =
• 8 ÷ (-8) =
• -39 ÷ (-3) =

-6

4

-1

13

Division Using the Reciprocal

17. Evaluate for

and

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?