Integers
3 - 12 =
-9
2/7 - 6/7
- 4/7
3 ¼ - 2 ½ =
¾
Whole numbers and their opposites.
integers
Find the Least Common Multiple
2 and 3
2 x 3 = 6
3 x 2 = 6
LCM: 6
Solve the problem.
a = 9, b = 5
a - b
9 - 5 = 4
-8 - (-13) =
5
-4/5 - 3/5 =
- 7/5 or -1 ⅖
3 ⅓ - 3 ½ =
- ⅙
Numbers greater than zero
positive integers
Find the Least Common Multiple
3 and 4
3 x 4 = 12
4 x 3 = 12
LCM: 12
Solve the problem.
a = 12, b = -10
-a - b
- 12 - (-10) = -12 + 10 = -2
5 - (-4) =
9
2/5 - (-1/5) =
⅗
-7 ⅔ - 8 ⅙ =
-15 ⅚
What is a number line?
The number line consists of integers that are both positive and negative.
Find the Least Common Multiple
8 and 10
8 x 5 = 40
10 x 4 = 40
LCM: 40
Solve the problem.
a = -7, b = -2
-a - b
- (-7) - (-2) = 7 + 2 = 9
0
-1/2 - (-2/5) =
- ⅒
-2 ½ - 5 ¾
-33/4
A double negative changes into what
Positive / plus
Find the Least Common Multiple
6 and 8
6 x 4 = 24
8 x 3 = 24
LCM: 24
Solve the problem.
a = 4, b = -3
-a - b
-4 - (-3) = -1
0 - 9 - (-5) =
-4
2/6 - (-2/4) =
⅚
-1 ⅓ - 1 ⅔
-3
What is the opposite of adding?
The opposite of adding is subtracting
Find the Least Common Denominator
1/2 and 7/8
½ x 4 = 4/8
⅞ x 1 =7/8
Common Denominator: 8
Solve the problem.
a = -2, b = -3
-a - b - b
- (-2) - (-3) - (-3) = 2 + 3 + 3 = 8
-8 - (-6) - (-4) =
2
-5 - 5/3
-3 ⅓ or -20/3
-5 ½ - (-4 ⅔) =
- ⅚
Any number that can be written as a fraction
Rational number
Find the Least Common Denominator
5/6 and 3/8
⅚ x 4 = 20/24
⅜ x 3 = 9/24
Common Denominator: 24
Solve the problem.
a = 6, b = -4
-a - b - a
-6 - (-4) - 6 = -6 + 4 - 6 = -8