1. Unit: Operations with Rational Numbers
Video # 2
Learning Target: I can add, subtract, multiply, and divide rational numbers. .

2. Integers Negative Positive
An integer is a positive or a negative whole number and zero (all numbers on a number line)
Positive means the number is to the right of zero on a number line
Negative means the number is to the left of zero on a number line
The farther to the right (or up) you move, the bigger your number becomes. The farther to the left (or down), the smaller it becomes.
Negative
Positive

3. Addition, Subtraction, Multiplication & Division Rules
Same sign, add and keep the sign
Different signs, subtract the numbers, and take the sign of the larger number
* Integer Rules Song*
Ex: = -8
Ex: = -3
Subtraction
KCC (keep, change, change) Keep first number, change subtraction sign to addition sign, and change the sign of the second number
Then follow rules for addition
Ex: 4 – (-3) = = 7
Ex: 4 – 3 = = 1
* When you are subtracting rational numbers, you are actually just adding the additive inverse.
Multiplication
Same signs = positive answer
Different signs = negative answer
Then multiply/divide like normal
Ex: (-4)(3) = -12 or -4x3 = -12
Ex: -24 ÷ -8 = 3 or -24/-8 = 3
& Division
*Every 2 negatives make a positive!
*Parentheses = multiplication
*Fraction = division

4. Additive Inverse
A number and its opposite have a sum of zero. These two numbers are considered additive inverses.
Ex. The additive inverse of -4 is 4 because = 0.
If my bank account has $25, the additive inverse would be -$25.

5. More Examples (-5)(-5) = 25 -12 ÷ 6 = -2 (-2)(3)(-4) = 24 -72 ÷ -9 = 8
(-5)(-5) =
-12 ÷ 6 =
(-2)(3)(-4) =
-72 ÷ -9 = =
4 – 9 =
4 – (-3) =
-3 – (-7) = =