Adding and Subtracting with Negative Numbers

Vocabulary

100

Two numbers whose sum is zero.  We use opposite numbers for this. 

Zero Pair

200

Numbers that are less than 0.  Located on the left side of a number line. 

Negative Numbers

300

Numbers that are the same distance from 0 on a number line but in different directions. 

Opposite Numbers

400

Numbers that are greater than 0.  They are located on the right side of the number line. 

Positive Numbers

500

The distance a number is from zero. 

Absolute Value

600

Compared to something or someone else.

Relative to

700

The opposite of a number is its _________ ________.

Additive Inverse

Adding Integers

100

Finish the statement:

Same signs you ________ _________ ______ ________ ________.

add and keep the sign

200

Finish the statement:

Different signs you _______ _______ ______ ______ ________ _______ _______ _______ ________.

subtract and take the sign of the bigger number. 

300

What is the sum of -58 and -43?

-101

400

Sophia made a pot of 29c of soup.  Her family ate some for lunch.  This changed the amount in the pot by 7c.  Then she gave some to her friends and changed the amount by another 6c.  How much gumbo is left in the pot?

16 cups

500

Is 14 + 39 greater than or less than 

43 + (-27)?  Why

Greater than because 25 is greater than 16.

600

What is 

4 3/10 + (-6 4/10) 

-2 1/10

700

Tell whether each sum is negative, positive, or zero:

75 + (-57) _________

29.6 + (-29.7)  ___________

-35 + 35 ______________

Positive

Negative

Zero

Distance

100

What is the distance between -37 and 16 on the number line?

50

200

What is the distance between -34 and -16 on the number line?

18

300

The temperature changes from 9^oF to -5^oF.  What two expressions can be used to model the distance on the thermometer between 9^oF and -5^oF

| 9 - (-5)| and |-5 - 9|

400

What is the distance on the number line between -7 and -2?

5

500

On the number line what is the distance between -8 and -2?

6

600

Solve |5 - 6|

1

700

Solve |9 - (-2)|

11

Subtracting Integers

100

Which of these has the greatest value? Why?

26 - (-17)

-17 - 26

26 - (-17) because 43 is greater than -43.

200

Rewrite the expression as an addition problem.

26 - (-17)

26 + 17

300

Rewrite the expression as an addition problem.

-36 - 16

-36 + (-16)

400

Addy claims that when m is a negative and n is a positive, n-m will always be negative.  Is this true or false.  Give an example.  

False.

500

Solve 9 - (-4)

13

600

What is 6 - 9?

-3

700

What is   -10 - 4?

-14