Incredible Integers

What is an integer?

Integers are the whole numbers

and their opposites.

Okay…but what does that mean?

Two integers are opposites if they are the same distance from 0 in

either the positive or negative direction on a

number line.

This means…• Positive integers

are all the whole numbers greater than zero: 1, 2, 3, 4, 5, ...

• Negative integers are all the opposites of these whole numbers: -1, -2, -3, -4, -5, …

• Negative numbers are less than zero.

Let’s look at some examples of opposites!

• -4 and +4

• -2 and +2

• -5 and +5

Integers can also represent situations

Here are some examples:

• Sarah went up four steps

• The temperature is twelve below zero.

• The elevation of the mountain is 52,000 feet

• +4

• -12

• +52,000

And a few more…

• The football team lost 8 yards

• Anne gained 10 pounds

• Tara spent $20 of her checking account.

• -8

• +10

• -$20

You try some!!• The stock market

showed a gain of 212 points today

• Death Valley, California is 282 feet below sea level

• The elevator went down two floors.

• +212

• -282

• -2

Now let’s talk about

Absolute Value

Absolute Value is…

The distance a number is from zero on the number

line.

So…• Absolute value is shown by two bars

on either side of an integer.

• The absolute value of the number is really just the number without a sign (or neither negative nor positive)

4

Unless…

• The negative sign is OUTSIDE of the absolute value bars.

= -4

Here are some examples!

• Example 1:

• Example 2:

= 9

Now you try some!

Time to practice!

Let’s look at the worksheets you just got!

Let’s go!!