Adding and Subtracting Rational Numbers

Absolute Value

1

|-19|

19

2

|3  -  5|

2

3

This is what Absolute Value is.

What is a number's DISTANCE from ZERO?

5

Place the values in order from LEAST to GREATEST.

|-7|,   -3,   |4|,   0,   |-2|

-3,   0,   |-2|,   |4|,   |-7|

8

Provide two numbers so that:

x  >  y     but     |y|  >  |x|

Multiple answers accepted

Adding Integers

1

-6  +  9

3

2

16  +  (-23)

-7

3

-52  +  (-142)

-194

5

(-8) + 14 + (-27) + 6

-15

8

|a + b + c|

When a = 4,  b = -5,  and c = -8

9

Subtracting Integers

1

10  -  12

-2

2

Rewrite  -8  -  (-10)  as an addition problem.

(You do NOT need to solve it)

-8  +  10

3

What is the distance from 8 to -12?

20

5

-12  -  (-8)  -  (-3)  -  14

-15

8

For what values is the following true:

|a  -  b|  =  |a|  -  |b|

When  a  and  b  have the same sign, AND |a|  >  |b|

Adding and Subtracting Rational Numbers

1

In order to add or subtract fractions, we need to have this first.  (We can't just add halves and eighths for instance.)

What are COMMON DENOMINATORS?

2

Before we begin to add or subtract decimals, we need to make sure to do this.

What is LINE the DECIMALS UP?

3

5 7/8 + (-1/2)

5 3/8?

5

-8.5  -  (-1.23)

-7.27

8

-2 1/3 - 4 5/6

-7 1/3?

Vocabulary

1

This is the term for numbers that are to the left of zero on a number line.  We used red chips (crisps) to denote these types of numbers.

What are NEGATIVES?

2

This is the term given to zero, as well as the positive and negative counting numbers.  They do not contain parts of numbers.

What are INTEGERS?

3

This is the term given to two numbers that have an equal numerical value but different signs.

What are OPPOSITES?

5

This is the name for any number that can be written in the form  

a/b

What is a RATIONAL NUMBER?

8

This is the SECOND number in a subtraction problem.  It is the number that gets switched to its opposite when converting to an addition problem.

What is a SUBTRAHEND?