Integers Absolute Value The set of whole numbers

Integers & Absolute Value

The set of whole numbers and their opposites. - Positive and negative whole numbers. - Zero is neither positive or negative.

A real number that is less than zero. -Opposite of positive numbers -Movement to the left on the number line.

The distance of a number on a number line from zero without considering which direction from zero the number lies. - Symbol for absolute value - Always equals a positive number

ALWAYS POSITIVE! *If the absolute value has a numerical expression, solve first then find the absolute value.

Examples Numerical expression -2+4 solve 7 -8 7 + (- 8) 2 solve Take the absolute value Final answer Turn into addition 1 Final answer 5+2 -9 7 + (- 9) Order of operations Turn into addition solve Take the absolute value 2 Final answer

#1 #2 #3

What you add to a number to get zero. - Opposite - Sum must equal zero

*Understanding the properties of numbers will help you do mental math!

1. Find the sum of the absolute value. 2. Keep the sign. 1. Find the difference of the absolute value. 2. Use the sign of the larger absolute value. 1. Change the subtraction to addition. 2. Change the sign of the second number. 3. Follow the rules for same or different sign.

Commutative Associative Multiplicative Inverse Identity

1. Multiply the 1. Divide the absolute value. 2. Same sign = positive answer Different sign = negative answer

Independent Practice p. 237 Multiplying Integers #1 -8 Write the problems for #1 -6 Independent Practice p. 247 Dividing Integers #1 -10, 13 Write the problems for #1 -10