Integers 101- Understanding Integers

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Understanding Integers

- What integers are - How we compare and order integers….- Absolute Value

Real Numbers

Prime1,3,5,7,11

Composite2,4,6,8,9,10

Real Numbers

Natural Numbers 1,2,3,4,5

Prime1,3,5,7,11

Composite2,4,6,8,9,10

Real Numbers

Whole Numbers 0,1,2,3,4,5

Natural Numbers 1,2,3,4,5

Prime1,3,5,7,11

Composite2,4,6,8,9,10

Real Numbers

Integers -3,-2,-1,0,1,2,3

Whole Numbers 0,1,2,3,4,5

Natural Numbers 1,2,3,4,5

Prime1,3,5,7,11

Composite2,4,6,8,9,10

Real Numbers

Repeating Decimals - 1.2323, -1.2323

Integers -3,-2,-1,0,1,2,3

Fractions - 3/4, -3/4

Whole Numbers 0,1,2,3,4,5

Natural Numbers 1,2,3,4,5

Prime1,3,5,7,11

Composite2,4,6,8,9,10

Terminating Decimals - 1.1, 1.2, -1.1, 1.2

Rational NumbersReal Numbers

Repeating Decimals - 1.2323, -1.2323

Integers -3,-2,-1,0,1,2,3

Fractions - 3/4, -3/4

Whole Numbers 0,1,2,3,4,5

Natural Numbers 1,2,3,4,5

Prime1,3,5,7,11

Composite2,4,6,8,9,10

Terminating Decimals - 1.1, 1.2, -1.1, 1.2

Irrational Numbers

Non-Terminating and Non-Repeating Decimals

5.12323223012

Integers Not Integers

5.6-5.62.3-2.35/6-5/6¾-3/4

Integers Not Integers5.6-5.62.3-2.35/6-5/6¾-3/4

Whole Numbers NOT Whole Numbers

Integers Not Integers5.6-5.62.3-2.35/6-5/6¾-3/4

Whole Numbers NOT Whole Numbers

The red arrows point to Negative Rational Numbers

Integers Not Integers5.6-5.62.3-2.35/6-5/6¾-3/4

Whole Numbers NOT Whole Numbers

The green arrows point to Positive Rational Numbers

How can we define an Integer?

• Any positive or negative number that is a WHOLE part or piece … NO decimals… NO fractions

Ponder this…. • Is any positive and or negative number also an

integer? – Why or Why not?

Ponder this…. • Is any positive and or negative number also an

integer? – Why or Why not?

1. Can I turn it into a fraction?2. Is it a whole number?

Ponder this…. • Is any positive and or negative number also an

integer? – Why or Why not?

1. Can I turn it into a fraction?2. Is it a whole number?

How do we classify integers?

How do we compare and order integers?

How do we compare and order integers?

Would you rather have $2 or $-2????

How do we compare and order integers?

Would you rather have $2 or $-2????

Less Value More Value

Less

Val

ue

Mor

e Va

lue

Where do 2 and -3 belong?

0

Where do 2 and -3 belong?

02-3

Order the numbers least to greatest?

Order the numbers least to greatest?

Which number is the least? (smallest value)

-11 or -18

Order the numbers least to greatest?

Which number is the least? (smallest value)

-11 or -18

Order the numbers least to greatest?

Which number is the least? (smallest value)

-11 or -18

-18, -16, -13, -12, -11

Absolute Value

Absolute Value• Tells us how far away is zero

Absolute Value Examples

I learned….

• What integers are• How we compare and order integers• Absolute Value

Sources Cited

• All images taken from www.google.com/images

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