Evaluate absolute value expressions and compare integers by

Evaluate absolute value expressions and compare integers by graphing them on a number line.

• A whole number that can be positive or negative (or zero) • Whole numbers and their opposites • {… -4, -3, -2, -1, 0, 1, 2, 3, 4, …} • NO decimals/fractions

Write an integer for each situation: • 5 degrees below zero • -5 • A loss of 12 yards • -12 • A bank deposit of $80 • +80

When graphing integers, we use a number line. Negative integers Positive integers Zero is neither positive nor negative

Graph the set of integers on the number line. • {4, -2, 3, 8} • {5, 2, 0, -1, -6}

The distance between a number and zero on the number line. • Absolute value is illustrated by placing a number or expression inside vertical bars. • Ex: |3| = • 3 • |-3| = • 3

• |6| • |0| • |-5| What About… • -|-9| • -|13| • |-14|-|2| • In the order of operations, absolute value acts as parentheses

Numbers can be compared using the following symbols: • < means “less than” • Ex: 2<7 “ 2 is less than 7” • = means “equal” • Ex: -3=-3 “-3 is equal to -3” • > means “greater than” • Ex: 5>-1 “ 5 is greater than -1”

How can you tell one number is less than another? • Graph them on a number line. • Compare -2 and -4 Graph the numbers to see where they lie -2 > -4 since -4 is lower on the number line.

Compare the following numbers: • • • 0 and -4 -6 and -8 -|4| and -|-5| |-3| and |8| |-2| and |2|

Odds p. 6 #33 -43