Add/Subtract integers

Add and Subtract integers

Remember the rules

​Adding a negative is the same as subtracting.

​Subtracting a negative is the same as adding.

​Rules of integer multiplication

Double signs are when there is NO number between any combination of plus or minus signs

​

Focus on the "double signs"

Multiple Choice

Is there a double sign?

$$-6-3$$

• yes

• no

Multiple Choice

Is there a double sign?

$$-6-\left(-3\right)$$

• yes

• no

​GET RID OF DOUBLE SIGNS

​You always want to use the rules of multiplication to turn "double signs" into one sign

Multiple Choice

$$3+\left(-8\right)$$

• $$3-8$$

• $$8-3$$

• $$3+8$$

• $$8+3$$

Multiple Choice

$$-9-\left(-3\right)\$$ becomes

• -9+3

• 3-9

• -9-3

• -3-9

Fill in the Blanks

Rewrite the problem by "fixing" the double sign

$15-\left(+6\right)$

DO NOT SOLVE

NO SPACES

SAME SIGNS

1) add the numbers

2) keep the sign

​

​NOW use the basic addition rules

DIFFERENT SIGNS

1) SUBTRACT the numbers

2) Take the sign of number with greater absolute value

​

​NOW use the basic addition rules

Fill in the Blanks

SOLVE

$3+\left(-8\right)\$

Fill in the Blanks

SOLVE

$-9-\left(-3\right)\$

Fill in the Blanks

SOLVE

$15-\left(+6\right)$

Typing integer problems into the calculator is simple. You just have to know how to use the "magic button"

​

​Using a calculator

Get notebook paper (I will hand it out)
THIS IS FOR A PARTICIPATION GRADE

​NAME
Class hour

​Guided practice

Multiple Choice

$$-6-\left(-3\right)$$

• 9

• -9

• 3

• -3

Multiple Choice

(-10.3) + (-7.5)

• -17.8

• 17.8

• 2.8

• -2.8

Multiple Choice

-13 - (-5)

• 18

• -18

• 8

• -8

Multiple Choice

$$-2\frac{1}{3}-\frac{1}{3}$$

• $$2$$

• $$-2$$

• $$-2\frac{2}{3}\ or\ -\frac{8}{3}$$

• $$2\frac{2}{3}\ or\ \frac{8}{3}$$

Multiple Choice

Theo had a balance of -$4 in his savings account. After making a deposit, he has $25 in his account. What is the overall change to his account?

• $29
• $25
• $24
• $30

Multiple Choice

$$8-\left(-3\right)+7$$

• -4

• 12

• -12

• 18

Multiple Choice

If $$x=-2\ and\ z=-10$$ and $$x>y>z$$ which number could y represent

• 9

• -9

• 19

• -19

Multiple Choice

Mount Everest is 29,028 feet above sea level. The bottom of the Mariana Trench is 36,070 feet below sea level. What is the difference between these two elevations?

• 65,098 ft

• -65,098 ft

• 7,042 ft

• -7,042 ft

Multiple Choice

The annual profits (in millions of dollars) of an online gaming company for the last five years are

-1.7, -4.75, 1.7, 0.8, and 3.2

What is the total profits for the company?

• -0.75

• 0.75

• 12.15

• -12.15

Multiple Choice

What is the distance between $$-\frac{1}{3}$$ and $$-2$$ on a number line

• $$-2\frac{1}{3}$$

• $$-1\frac{2}{3}$$

• $$1\frac{2}{3}$$

• $$2\frac{1}{3}$$