Adding Integers and Additive Inverse

INTEGERS

Grade 7 Review

Absolute Value

• Is how many spaces a number is from zero.

• It is always POSITIVE

• It is annotated by |#|

Additive Inverses

• Numbers that have the same absolute value but opposite signs.

• eg. -11 and 11 are additive inverses

• The sum of additive inverses is always ZERO

• eg: -11 + 11 = 0

Multiple Select

Pick ALL the correct statements:

• $$\left|5\right|=-5$$  

• Additive Inverse of 7 is -7 $$\left|-10\right|=10$$
  

• Absolute Value of 5 is 5

• Additive Inverse of 3 is 3

•  $\left|-10\right|=10$  

To Add Integers

• Same signs ADD and keep the sign

• Different signs SUBTRACT and take the sign of the bigger number

Multiple Choice

Evaluate the following:    $$-3\ +\ \left(-8\right)$$  

• 5

• -5

• 11

• -11

Multiple Choice

Evaluate the following:    $$-2+5$$  

• 7

• -7

• 3

• -3

To Subtract Integers

• Rewrite the subtraction into addition of the opposite of the second number

• Then follow the same rules as addition

Multiple Choice

Evaluate the following:    $$-6\ -\ 4$$  

• -2

• 2

• 10

• -10

Multiple Choice

Which of the following is the correct rewriting of

$$7-\left(-8\right)$$  

• $$-7+8$$  

• $$7+8$$  

• $$7-8$$  

• $$-7+8$$  

To Multiply and Divide Integers

• Ignore the signs and multiply / divide as you would normally.

• Then look at the signs and follow these rules:

• _{Same signs answer is always POSITIVE}

• _{Different signs answer is always NEGATIVE}

Fill in the Blanks

$\left(-15\right)\ \times\left(-2\right)$  

Fill in the Blanks

$24\div\left(-3\right)$  

Poll

How is your understanding of this topic?