Unit: Operations with Rational Numbers

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Presentation transcript:

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

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

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: -3 + -5 = -8 Ex: 5 + -8 = -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) = 4 + +3 = 7 Ex: 4 – 3 = 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

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 -4 + 4 = 0. If my bank account has $25, the additive inverse would be -$25.

More Examples (-5)(-5) = 25 -12 ÷ 6 = -2 (-2)(3)(-4) = 24 -72 ÷ -9 = 8 (-5)(-5) = 25 -12 ÷ 6 = -2 (-2)(3)(-4) = 24 -72 ÷ -9 = 8 -6 + -10 = -16 4 – 9 = -5 4 – (-3) = 7 -3 – (-7) = 4 -2 + 5 = 3