Numberline notes

Number line and Number line and the INTERESTING the INTERESTING

INTEGERS!INTEGERS!

5

-7 -3

-8

4

What You Will Learn:What You Will Learn:

Vocabulary related to integers Comparing of integers Ordering of integers Absolute Value

Are you ready??Are you ready??

Introduction to IntegersIntroduction to Integers•VocabularyVocabulary• positive numberpositive number• negative numbernegative number

•Horizontal & vertical number linesHorizontal & vertical number lines•Comparing IntegersComparing Integers•Ordering IntegersOrdering Integers•Vocabulary - continuedVocabulary - continued• opposite numberopposite number• integerinteger

•Real World Applications & ExamplesReal World Applications & Examples• temperaturetemperature• sea levelsea level• money money

Vocabulary:Integers – all the whole numbers and all of their opposites on the number line including zero

0 1 2 3 4 5 6-1-2-3-4-5-6

integers

Positive number – a number greater than (>) zero

0 1 2 3 4 5 6

Vocabulary:

Hint:Hint:

If you don’t see a negative or positive sign in front of a number, the number is positive.

9 is the same as +9

Negative number – a number less than (<) zero

0 1 2 3 4 5 6-1-1-2-2-3-3-4-4-5-5-6-6

Vocabulary:

Integer Number LineInteger Number Line

Horizontal

Numbers above or right of 0are positive

Numbers below or left of 0

are negative ZER

O

Integer Number LineInteger Number LineV

ertica

lNumbers above

0 are positive

ZERO

Numbers below 0

are negative

0 1 2 3 4 5 6-1-2-3-4-5-6

You would write the comparison as -6 < -1

Comparing IntegersComparing IntegersOn a number line the number to the left is always less than the number on the right.Look at the digit -6 it is less than -1 because it is to the left on the number line.

Use the number line to compare the following integers with >, <, or =.

-4 -2 1 -3 -5 0

Hint: On a number line, the number to the left is always less than the number to the right.

Comparing IntegersComparing Integers

<

< >

Use the number line to compare the following integers with >, <, or =.

Comparing IntegersComparing Integers

Hint: On a number line, the number on the top is always greater than the

number on the bottom.

-3 -5 -5 0 0 -1>

>

>

Ordering IntegersOrdering Integers

Use the number line to put the following integers in order from least to greatest.-4, 3, 0, and -5 -5, -4, 0, 3

Opposite Numbers – numbers that are the same distance from zero in the opposite direction

0 1 2 3 4 5 6-1-2-3-4-5-6

Vocabulary:

What is the opposite of each integer?

+7 -7

+5

-1

+8

+1

5 -8

Is the number’s distance from “0” on the number line.

0 1 2 3 4 5 6-1-2-3-4-5-6

Vocabulary: Absolute Value

The Absolute Value of -3 is 3 because -3 is 3 units from 0.

Now, you’re probably saying, “That’s interesting and everything, BUT where are negative numbers in the real world?? ??

Negative Numbers Are Used to Measure Temperature

Negative Numbers Are Used to Measure Under Sea Level

0102030

-10-20-30-40-50

Positive and negative numbers are used when keeping track of money.

+ Positive +$$ you earn

- Negative -$$ you spend

Positive Numbers are Used to Show Earnings or Assets

When you get paid (or win the lottery), you add that $$ to your account.

Negative Numbers are Used to Show What You Owe or

DebtIf your mom loaned you $10 for pizza, Mom,

I. O. U.$10

The $10 you owe her is described by the integer -10.

Write an integer to describe the real world situation:

Gain 3 pounds:

Withdraw $15:

5 feet below sea level:

Move ahead 4 spaces:

3 or +3

-15

-5

4 or +4

Aren’t integersinteresting?