Integers & Absolute Value

Integer & Integer Operations

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What are integers?

• Include all Whole Number and their OPPOSITES

• Integers DO NOT include fractions, or decimals

• 0 is an integer

What are opposites?

The opposite number, is a number that is the same distant from zero on the number line in the opposite direction.

Zero is neither positive or negative and does not have an opposite.

Multiple Choice

What is the opposite of 8?

•  $\frac{1}{8}$  

• 0

• 8

• -8

Multiple Select

Select all of the numbers that are integers.

• -2

• 2.0

• 4,787

• $-\frac{2}{15}$

• 0

Absolute Value

• The distance a value is from zero

• Distance cannot be negative

• If you walk forward 3 steps or you walked backward 3 steps, you still covered the same amount of ground

Multiple Choice

Can the absolute value of a number ever be negative?

• yes

• no

• sometimes

Multiple Select

What words would represent a negative value?

• withdraw

• credit

• debit

• deduct

• bonus

Multiple Choice

How would you represent that you withdrew $20 from the ATM?

•  $\frac{1}{\text{}20}$  

• -20

• 20

• +20

Multiple Choice

How would you show the absolute value of -42?

• $\left|-42\right|\ =\ -42$

• $\left|-42\right|\ =\ \left|42\right|$

• $\left|-42\right|\ =\ 0$

• $\left|-42\right|\ =\ 42$

Multiple Choice

How would you show the absolute value of 18?

• $\left|18\right|\ =\ \left|18\right|$

• $\left|18\right|\ =\ 0$

• $\left|18\right|\ =\ -18$

• $\left|18\right|\ =\ 18$

Multiple Select

Select the true statements. There can be more than one.

• Zero is considered an integer.

• The absolute value of 54 is -54.

• $\frac{4}{2}$

  Fractions that can be made into whole numbers, like the one above, are integers.

• The opposite of -48 is -84.

• 0 is considered both positive and negative