Operations with Integers

Learning Targets for Today

• I can use Order of Operations to simplify problems.

• I can Identify Properties.

• I can add integers.

• I can subtract integers.

• I can multiply integers.

• I can divide integers.

• Make sure you can do each of these as we go through the slides. If you are struggling with a particular thing, figure out what you will do to learn it!

These slides are a quick review before you do today's activities.

Multiple Choice

In the following problem, what step do I need to complete first according to the Order of Operations?

$$7^2\ +\ 32\ \ \div\ \ 12\ \left(2\ -3\right)$$  

• $$7^2$$  

• 2-3 

• $$32\ \div\ 12$$  

• 12 x 2

Multiple Choice

Simplify.

$$8\ +\ 16\ \div\ 4\ \cdot\ 5\ -\ 3$$  

• 31

• 25

• 77

• 27

Multiple Choice

$$3\left\{\left(7\ -\ 5\right)^{2\ }+\ \left(20\ -\ 19\right)^2\right\}\ +\ 14$$  

Simplify.

• 3

• 57

• 29

• 1

Multiple Choice

Which property is represented?

3 + 9 = 9 + 3

• Associative Property of Addition

• Identity Property of Addition

• Distributive Property

• Commutative Property of Addition

Multiple Choice

$$3\ \cdot\ \left(5\ \cdot\ 7\right)\ =\ \left(3\ \cdot\ 5\right)\ \cdot\ 7$$  

Which property is represented?

• Associative Property of Multiplication 

• Identity Property of Multiplication

• Distributive Property 

• Commutative Property of Multiplication 

Multiple Choice

Which is an example of Distributive Property?

• 4 (2 + 1) = 2 (4 + 1)

• 4(2 + 1) = 4(2) + 4(1)

• 4(2 +1) = 4(1+2)

Multiple Choice

Which example show the Identity Property of Multiplication?

• 6 ( 0) = 0

• 6(1) = 1(6)

• 6 (1) = 6

Multiple Choice

Evaluate.

(-3) + (-2) =

• 5

• 1

• -1

• -5

Multiple Choice

Evaluate.

(-7) + 5

• 2

• -2

• 12

• -12

Multiple Choice

Evaluate.

8 + (-5)

• 3

• -3

• 13

• -13

Multiple Choice

Evaluate.

(+6) + (+3)

• 3

• -3

• 9

• -9

Multiple Choice

Evaluate.

8 - (-2)

• 6

• -6

• 10

• -10

Multiple Choice

Evaluate.

-3 - 8

• -11

• 5

• -5

• 11

Multiple Choice

Evaluate.

-4 - (-2)

• 6

• -6

• 2

• -2

Multiple Choice

Evaluate.

3 - 9

• 6

• -6

• 12

• -12

Multiple Choice

The product of two negative numbers is always

• positive

• negative

• It depends on the numbers

Multiple Choice

The quotient of a positive integer and a negative integer is always

• positive

• negative

• it depends on the numbers

Multiple Choice

Evaluate.  $$\left(-3\right)\ \cdot\ \left(-4\right)$$  

• 12

• -12

Multiple Choice

Evaluate.  $$\left(-2\right)\ \cdot\ \ \left(5\right)$$  

• 10

• -10

Multiple Choice

Evaluate.  $$\left(7\right)\ \cdot\ \left(-3\right)$$  

• 21

• -21

Multiple Choice

Evaluate. $$\left(5\right)\ \cdot\ \left(6\right)\$$  

• 30

• -30