Key Vocabulary:

Opposites – pairs of positive and negative integers whose sum equals 0

Additive inverses – numbers and their opposites

2.2 Adding and Subtracting Rational Numbers

Students will add and subtract integers and rational numbers

Designed by Skip Tyler, Edited by Diane Warren

Find the sum.1) -2.304 + (-0.26)Line up the decimals and add (same signs).

-2.564

2)5

8

3

4

Get a common denominator and subtract.

5

8

6

8

1

8

Find the difference.

3)5 3

9 5

3

5

5

9

25

45

27

45

2

45

Change subtraction to adding the opposite.

Get a common denominator.

Subtract and keep sign of the larger number.

Find the difference.

4)1

2

6

7

61

2 7

7

14

12

14

5

14

Get a common denominator and subtract.

Change subtraction to adding the opposite.

Substitute for y: 6.32 - (-3.42)6.32 + 3.42

9.74

5) Solve 6.32 – y if y = -3.42

Find the solution6.5 – 9.3 = ?

Answer Now

1. -3.2

2. -2.8

3. 2.8

4. 3.2

Find the solution

Answer Now

2 1?

3 4

1

7

11

12

5

12

3

7

1. .

2.

3.

4.

A rational number is a number

that can be written as a fraction.How can these be written as a fraction?

3 = 3

1

23

4

11

4

Inequality Symbols

Symbol Meaning < is less than > is greater than ≠ is not equal to ≤ is less than or equal to ≥ is greater than or equal to = is equal to

Ordering Rational Numbers

2 ways to order from least to greatest

1. Get a common denominator

2. Change the fractions to decimals (numerator demoninator)

Which rational number is bigger?

1) Get a common denominator.32

88

33

88

4

11or

3

8

2) or convert the fraction to a decimal.0.363 < 0.375

4

11<

3

8

Which rational number is bigger?

1) Get a common denominator

2) or convert to a decimal1.75 < 1.83

7

4

11

6

7

4or

11

6

42

24< 44

24

Which symbol makes this true? 5

7__

3

41. <

2. >

3. =

Answer NowAnswer Now

Which symbol makes this true? -2

9__

-1

41. <

2. >

3. =

Answer NowAnswer Now