Bell Work 1.(8 – 2) 2 + 12 ÷6 2.16 ÷ (3 2 – 1). Positive and Negative Whole Numbers are called Integers.

Bell Work

1. (8 – 2)2 + 12 ÷6

2. 16 ÷ (32 – 1)

Positive and Negative Whole

Numbers are called Integers

Venn Diagram of Real Numbers

Whole Numbers

Integers-positive & negative

Irrational Numbers

Rational Numbers-fractions

Integers

Numbers to the left of zeroare less than zero.

Numbers to the right of zero are more than zero.

Definition• 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

You Try

Find the opposite of the number1. 8

2. – 6

3. – 10

Answers

1. – 8

2. 6

3. 10

Absolute Value

• The distance a number is from zero on the number line.

Symbols: |2| = the absolute value of 2

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

It takes two jumps from 0 to 2.

Start at 0, count the jumps to 2.

|2| = 2

Absolute Value

• The distance a number is from zero on the number line.

Ex: |-4| =

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

It takes four jumps from 0 to -4.

Start at 0, count the jumps to -4.

|-4| = 4

Absolute Value

Absolute Value

The absolute value of a number is the distance between that number and zero on a number line. Absolute value is shown by placing two vertical bars around the number In symbols: |7| = 7 and |-7| = 7

-5 50 10-10

+7-7

Absolute Value is ALWAYS positive because you are measuring distance.

You try:

Find the Absolute Value of the Integer1.

2.

3.

6

14

Answers

1. 6

2. 14

3. 2020

Negative Numbers Are Used to Measure Temperature

Negative Numbers Are Used to Measure Under Sea Level

0102030

-10-20-30-40-50

Negative Numbers Are Used to Show Debt

Let’s say your parents bought a car buthad to get a loan from the bank for $5,000.When counting all their money they add in -$5.000 to show they still owe the bank.

Comparing Integers

• The further a number is to the right on the number line, the greater it’s value.

Ex: -3 ___ -1

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

-1 is on the right of -3, so it is the greatest.

..

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Comparing Integers

• The farther a number is to the right on the number line, the greater it’s value.

Ex: 2 ___ -5

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

2 is on the right of -5, so it is the greatest.

..

>

Comparing Integers

• The farther a number is to the right on the number line, the greater it’s value.

Ex: 0 ___ -2

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

0 is on the right of -2, so it is the greatest.

..

>

Ordering Integers

When ordering integers from least to greatest follow the order on the number line from left to right.

Ex: 4, -5, 0, 2

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

Least to greatest: -5, 0, 2, 4

.. . .

Try This:

a. -13 ___ 4

b. -4 ___ -7

c. -156 ___ 32

<

<

<d. Order from least to greatest:15, -9, -3, 5 _______________

e. Order from greatest to least:-16, -7, -8, 2 _______________

-9, -3, 5, 15

2, -7, -8, -16

•Skills Check!When you finish turn your paper over and

put it in the corner of your desk. Silent read, work on other homework or practice more problems. No talking.

Practice:Green BookPage 55#’s 1-18