I can graph integers on a number line.

I can evaluate absolute value expressions.

1.4 Integers and Absolute Value

• 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

Integers

Write an integer for each situation:• 5 degrees below zero• -5

• A loss of 12 yards• -12

• A bank deposit of $80• +80

Practice

When graphing integers, we use a number line.

Graphing Integers

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}

Practice

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

Absolute Value

• |6|• |0|• |-5|What About…• -|-9|• -|13|• |-14|-|2|• In the order of operations,

absolute value acts as parentheses

Practice

Same steps to evaluate an algebraic expression.Try it!• |x| + 7 if x = -13 |-13| + 7 13 + 7 20• |a|●|b| - 12 if a = -5 and b = 8• 28

Evaluating Absolute Value Expressions

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”

Comparing Numbers

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.

Comparing Numbers

Compare the following numbers:

• 0 and -4• -6 and -8• -|4| and -|-5|• |-3| and |8|• |-2| and |2|

Practice

Section 1.4 Worksheet

Assignment