Week 20 Integers

Operations with Integers

Miss Terano

Rules for Adding Integers

Rules for Addition

• If the signs are the same, add and keep the sign.

• If the signs are different, subtract and keep the sign of the "larger" number.

• Example: -5 + (-10) = -15

• Example: -5 + 10 = 5

Rules for Subtraction

Rules for multiplication or division.

• Think of the triangle.

  
  

• Same signs the answer is positive.

• Opposite signs the answer is negative.

Order of Operations Rule: PEMDAS

• Parentheses-Evaluate within the brackets first

• Exponents-evaluate powers next

• Multiplication and Division next from left to right, first come, first served

• Addition and Subtraction next from left to right, first come, first served

​Adding Integers

​If the signs are the same, add the numbers and keep the sign of the larger (absolute value) number.

EX> -3 + (-5) = -8

2 + 2 = 4

​ If the signs are different, subtract the numbers and keep the sign of the larger (absolute value) number.

​EX> -6 + 3 = -3

​ 8+ (-5) = 3

​Subtracting Integers

To subtract integers, add the opposite.

​

​EX> -4 - 6 = -4 + (-6) =-10 (add the opposite)​

-5 - (-3) = -5 + (+3) = -2​

​ (add the opposite)

​Multiplying and Dividing Integers

​Multiply or divide, as the problem indicates. For your answer:

​Same signs = +

​Different Signs = -

Multiple Choice

3 + -7

• 10
• 4
• -10
• -4

Multiple Choice

-9 + (-5)

• -14
• 14
• -4

Multiple Choice

-7 - 2

• -9
• 9
• 5
• -5

Multiple Choice

56 ÷ (-7)

• -8
• -9
• 8
• 7

Multiple Choice

-3(-4)

• -12
• 7 
• -7
• 12

Multiple Choice

19 - (-13)

• 6
• 32
• 24
• 18

Multiple Choice

-3 x -4 x -2

• 12
• 24
• -24
• -14

Multiple Choice

Multiply
(5) • (–9) • (–2)

• 90
• -45
• -90
• 47

Multiple Choice

Solve:
80 + (-8) =

• 88
• -88
• 72
• -72

Multiple Choice

Solve:
-15  -  3 =

• 12
• -12
• -18
• 18

Multiple Choice

When multiplying or dividing integers with different signs your result will be ______________.

• Positive
• Negative
• Depends which number is bigger.

Multiple Choice

Solve:
-7(6) =

• -13
• -48
• 42
• -42

Multiple Choice

A football team gained 9 yards on one play and then lost 22 yards on the next. Write a sum of integers to find the overall change in field position.

• -9 + (-22) = -13
• 9 + (-22) = 13
• 9 + (-22) = -13
• none

Multiple Choice

Melody had to make a visit to the bank because her account was overdrawn by $32.  After making a deposit of $100, Melody was now happy that she had some money. How much money did she have after making the deposit?

• $100
• -$78
• $68
• $32

Multiple Choice

-15 ÷ 3

• 5
• -5
• 45
• -45

Multiple Choice

-24 ÷ (-8)

• 3
• -3
• 192
• -192

Multiple Choice

Carla's credit card statement showed that she owed $350. She made a payment of $200, then she charged $23 for gasoline.  She returned a sweater she charged earlier for a refund of $35. Then she charged $15 at the bookstore. What is her new balance?

• $623
• $477
• $153
• $396

Multiple Choice

When adding integers, if the signs are DIFFERENT you...

• Add the numbers
• Subtract the numbers
• Multiply the numbers
• Take the absolute value of the numbers

Multiple Choice

-3(-5) - 16

• -8
• 24
• -24
• -1

Multiple Choice

$$-42\div(-6)+5-8$$  

• -10

• 4

• -6

• 6

Multiple Choice

Solve the following:
3 + 27 ÷ (-3)

• -6
• -10
• 10
• -12

Multiple Choice

2 + (9² - 4)

• 16
• 77
• 79

Multiple Choice

-56 ÷ (-7) - (-3)

• 5
• 11
• -5

Multiple Choice

Solve the following:
5 - 6² ÷ 4 - 3

• 1
• -10.75
• -31
• -7

Multiple Choice

Simplify:

-8 ( -3 + -10 ) + (-5)

• 109

• 99

• -109

• -99