Confidential 1

Comparing and Ordering Integers

Confidential 2

WARM-UP:Use > or < to compare the

numbers.

1.) 83 108

2.) 2,376 2,367

3.) Round 568 to the nearest hundreds place.

4.) Round 5,986 to the nearest tens place.

Confidential 3

INTEGERS are all of the positive whole numbers, their opposites, and zero.

Example: .....-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, ......

Confidential 4

10 2 3 4 5 6 7 8 9 10-1 -3-4-5-6-7-8-9-10

INTEGERS can be shown as points on a number line.

Zero is the Origin.

Integers on this side of zero are

POSITIVE.

Integers on this side of zero are NEGATIVE.

It is neither positive nor negative!

-2

Confidential 5

OPPOSITES are 2 numbers that are the same distance

from zero on the number line.

10 2 3 4 5 6 7 8 9 10-1-3-4-5-6-7-8-9-10

. .

-8 AND 8 ARE OPPOSITES.

They are both 8 units away from zero!

-2

Confidential 6

.....-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, ......

These 2 numbers are opposites.

Can you name another pair of opposites?

INTEGERS

Confidential 7

10 2 3 4 5 6 7 8 9 10-1-3-4-5-6-7-8-9-10

.Can you find the opposite of -3?

How many units are they away from zero?

Are they both the same number of units away from zero?

-2

Confidential 8

The ABSOLUTE VALUE of a number isits distance from zero on the number line.

The Absolute Value of 4 is written as follows:

4

Confidential 9

Let's find the Absolute Value of 4.

Remember that we write the Absolute Value of 4 as

4

10 2 3 4 5 6 7 8 9 10-1-3-4-5-6-7-8-9-10

The Absolute Value of 4 OR 4 is the distance that 4 is from zero.

Therefore .......... 4 = 4

..

4 is 4 units from zero.

-2

Confidential 10

Let's find the Absolute Value of -3.

Remember that we write the Absolute Value of -3 as

-3

10 2 3 4 5 6 7 8 9 10-1-3-4-5-6-7-8-9-10

The Absolute Value of -3 OR -3 is the distance that -3 is from zero.

.

Therefore .......... -3 = 3

-3 is 3 units from zero.

-2

Confidential 11

Distance is Positive.

Therefore, since Absolute Value is the distance from zero, Absolute Value is always Positive.

9 = 9

-11 = 11

Confidential 12

Let's find.....

10 =

-17 =

1 =

-8 =

Confidential 13

We can compare and order integers using the number line.

10 2 3 4 5 6 7 8 9 10-1-3-4-5-6-7-8-9-10

. .-8 is 8 units to the left of zero.

3 is 3 units to the right of zero.

-8 < 3

smal

ler

num

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bigger num

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Therefore...

-2

Confidential 14

You try this one!

Order these integers on the number line.

10 2 3 4 5 6 7 8 9 10-1-3-4-5-6-7-8-9-10

4 -7 -3 1

What is the smallest integer? -7

What is the largest integer? 4

-2

Confidential 15

10 2 3 4 5 6 7 8 9 10-1-3-4-5-6-7-8-9-10

Let's compare and order -5 and -9

First, let's plot the integers on the number line. . .

Since -9 is to the left of -5 on the number line.......

-2

-9 < -5

smal

ler

num

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s

bigger num

bers

Confidential 16

1) I am a number less than 100 and greater than 20. The digit in my tens place is one less than the digit in my ones place.

When you add my digits together, you get a number between 10 and 12.

WHAT NUMBER AM I?????

Confidential 17

2.) How far away is -4 from 3?

10 2 3 4 5 6 7 8 9 10-1-3-4-5-6-7-8-9-10 -2

Confidential 18

3.) Write 2 numbers between 4 and 5.

-1 0-3-4-5 1 2 3 4 5

Are they Integers????

-2

Confidential 19

4.) Write 2 numbers between -3 and -4.

-1 0-3-4-5 1 2 3 4 5

Are they Integers?

-2

Confidential 20

Let's see how well we understood the lesson today.

1.) What are integers?

2.) Is zero a positive or negative integer?

3.) What is the opposite of 16?

4.) 56 =

5.) -19 =

Assessment

Confidential 21

6.) Is 4.5 an integer?

7.) True or False?Absolute Value is the distance a number is from zero.

8.) Insert < or >

a. 5

b. -6

c. 0

-5

-10

-1

Confidential 22

Let's ReviewINTEGERS are all of the positive whole

numbers, their opposites, and zero.

Example: .....-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, ......

INTEGERS consist of positive numbers, negative numbers and zero (which is neither positive nor negative).

Confidential 23

Two numbers that are the same distance from zero on the number line are called OPPOSITES. Example: -6 and 6

The ABSOLUTE VALUE of a number is its distance from zero on the number line.

ABSOLUTE VALUE is always positive!

18 = 18

-32 = 32

Confidential 24

-1 0-3-4-5 1 2 3 4 5

. .

If we compare 2 numbers on a number line, the number that is furthest to the left is the smaller number!

-4 is smaller than

-1<

-2

Confidential 25

You had a GREAT lesson today!

Be sure to practice what you learned!