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A Different Perspective

By: The Orange Team

Tammy Butler, Jim Conner, Jaime Cook , Tom Sorenson, & Florence Townsend

Integer: What is it?

- An integer is a whole number that can be either greater than 0, called positive, or less than 0, called negative.
- Zero is neither positive nor negative.

- Two integers that are the same distance from the origin in opposite directions are called opposites.

Integer: What is it?

Integer: What is it?

- The integer zero is neutral. It is neither positive nor negative.
- The sign of an integer is either positive (+) or negative (-), except zero, which has no sign.

Integer: What is it?

- Two integers are opposites if they are each the same distance away from zero, but on opposite sides of the number line.
- One will have a positive sign, the other a negative sign.
- In the number line above, +3 and -3 are labeled as opposites.

You can visualize positive and negative integers using the number line:

It is important to understand the number line because it shows you that every number has an opposite.

Examples

2 is less than 5 because … 2 lies to the left of 5

-1 is greater than -3 because … -1 lies to the right of -3

-4 is less than 1 because … -4 lies to the left of 1

6 is greater than -2 because … 6 lies to the right of -2

Integer: What is it?

Integers

Integer: Putting It To Use

Example 1:

Write an integer to represent each situation:

- 10 degrees above zero = +10
- a loss of 16 dollars = -16
- a gain of 5 points = +5
- 8 steps backward = -8

Integer: Putting It To Use

Example 2:

Name the opposite of each integer.

-12 +12

+21 -21

-17 +17

+9 -9

Integer: Putting It To Use

Example 3:

Name 4 real life situations in which integers can be used?

- Spending and earning money.
- Rising and falling temperatures.
- Stock market gains and losses.
- Gaining and losing yards in a football game.

Integer: Summary

Integers are the set of whole numbers and their opposites.

Whole numbers greater than zero are called positive integers.

Whole numbers less than zero are called negative integers.

Integer: Summary

The integer zero is neither positive nor negative, and has no sign.

Two integers are opposites if they are each the same distance away from zero, but on opposite sides of the number line.

Positive integers can be written with or without a sign.

IntegerGames

References

- http://www.math.com/school/subject1/lessons/S1U1L10DP.html
- http://www.funbrain.com/cgi-bin/gn2.cgi?A1=s&A2=10&A3=1&A14=3&A15=1
- http://www.mathgoodies.com/lessons/vol5/intro_integers.html

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