Examples

7 = 7

10

100

10 =

-100 =

5 - 8 =-3= 3

BellringerBellringer

Solve:Solve:

5 - -6 + 10 – (4) + 2 – 18 + (-1) 5 - -6 + 10 – (4) + 2 – 18 + (-1) ==

BellringerBellringer

Solve:Solve:

5 - -6 + 10 – (4) + 2 – 18 + (-1) 5 - -6 + 10 – (4) + 2 – 18 + (-1) ==

Answer:Answer:

00

Go over homeworkGo over homework

Ch. 1-4 Multiplying and Dividing Integers

Multiplying & Dividing Integers:

-The product of two integers with the same sign is positive.

Example: 2 * 7 = 14 -2 * -7 = 14

-The product of two integers with different signs is negative.

Example: 2 * -7 = -14 -2 * 7 = -14-The quotient of two integers with the same sign in positive.

Example: 8/2 = 4 -8/-2 = 4

-The quotient of two integers with different signs is negative.

Example: -8/2 = -4 8/-2 = -4

Big Rock Steps for Multiplying & Dividing Integers

1. Count negative signs2. If even – answer is positive3. If odd – answer is negative

 

Example 1: Multiply the following integers.

a.) 3 * -6 b.) -4 * -5 c.) -2 * 3 * -4

-18-18

0-0-

2424

E+E+

2020

E+E+

Example 2: Divide the following integers.

a.) -18/-2 b.) 12/-6 c.) -24/2

99

E+E+

-12-12

O-O-

-22

o-o-Example 3: Evaluate each algebraic expression below. Use order of operations!

p = 4 t = -2 r = -3

a.) pt + (p – t) * r b.) 2p + pr – t

Example 3: Evaluate each algebraic expression below. Use order of operations!

p = 4 t = -2 r = -3

a.) pt + (p – t) * r b.) 2p + pr – t

4(-2) + (4 –(-2)) * -3

4(-2) + 6 * -3 =

2(4) + 4(-3) – (-2)

8 + 4(-3) – (-2) =

-26-2

-8 + 6 * -3 =

-8 + -18 =

8 + -12 – (-2) =

-4 – (-2) =

-4 + 2 =

You try one:x = -9 y = -5 z = -

3

2x + xy ÷z – 3

 

2(-9) + (-9)(-5) / -3 - 3

-18 + (-9)(-5) / -3 - 3

-18 + 45 / -3 - 3

-18 + -15 - 3

You try one:x = -9 y = -5 z = -

3

2x + xy ÷z – 3

 

2(-9) + (-9)(-5) / -3 - 3

-18 + (-9)(-5) / -3 - 3

-18 + 45 / -3 - 3

-18 + -15 - 3

-33 - 3

-36

When a negative is in front of a negative.

When a negative is in front of a negative with no numbers in between times.

Ex: 2(9) + -(-5) =

23

18 + -(-5) =18 + 5 =

HomeworkHomework

• Textbook pg 22 Textbook pg 22 #10-42 even#10-42 even

• Show stepsShow steps– Even positiveEven positive– Odd negativeOdd negative

EE OO

++ --

Evaluate ExpressionsEvaluate Expressions

-n + 5n + 3 when n = -7-n + 5n + 3 when n = -7

-(-7) + 5(-7) + 3 -(-7) + 5(-7) + 3

7 + -35 + 37 + -35 + 3

-25

Evaluate ExpressionsEvaluate Expressions

1)1) 6n + 3 when n= -76n + 3 when n= -7

2)2) -3x + x – 2 when x = -4-3x + x – 2 when x = -4

-39

6

Evaluate Expressions with Evaluate Expressions with exponentsexponents

1)1) xx44 when x = -2 when x = -2

16