Integers and Absolute Value Review--Sub Day

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Words to Know:

• Descending/Decreasing order- numbers will be in order from biggest to smallest (going DOWN)

• Ascending/Increasing order- numbers will be in order from smallest to biggest (going UP)

• Gain/Credit/Profit- represented by a positive number; for example a gain of 5 yards would be +5

• Loss/Debt- represented by a negative number; for example a loss of $9 would be -$9

• Altitude/Elevation- refer to something's height above or below sea level (above is + and below is - )

• Absolute Value-a number's distance from zero; will always be a positive number

Multiple Select

Which word(s) can mean that numbers are going to be in order from biggest to smallest? Check all that apply.

• increasing

• decreasing

• ascending

• descending

• elevation

Multiple Choice

What integer represents the description:

A loss of 8 yards

• 8

• -8

Multiple Choice

What integer represents the description:

20 degrees below 0

• 20

• -20

Multiple Choice

What integer represents the description:

A debt of $500

• 500

• -500

Multiple Choice

What integer represents the description:

A profit of $1,000

• 1,000

• -1,000

Multiple Choice

Which of these is the correct inequality?

• 9 > -9

• 9 < -9

• 9 = -9

Multiple Choice

Which of these is the correct inequality?

• -6 > 5

• -6 < 5

Multiple Select

Select all the correct inequalities.

• -5 > -3

• -5 < - 3

• -3 > -5

• -3 < -5

We indicate absolute value by putting two bars around the number.

​

Because the absolute value​ of a number is the distance from zero, it is always positive.

​

Absolute Value

Multiple Choice

The distance that a number is from zero on a number line is the definition for which word?

• ascending

• elevation

• absolute value

• altitude

Multiple Choice

The absolute value is ALWAYS positive.

• true

• false

Multiple Choice

• |10| = 10
• |-10| = 10
• |-10| = -10
• -|10| = 10

Multiple Choice

The absolute value of 79 is 79.

• False 
• True

Multiple Choice

Which statement is true?

• The absolute value of 3 is -3
• The opposite of 7 is 7
• The absolute value of 5 is equal to the opposite of 5
• The opposite of -4 is equal to the absolute value of -4

Multiple Choice

What is the absolute value of |-37|.

• 0
• 37
• -37
• 30

Sometimes, there are positive or negative symbols outside an absolute value bar. Think inside, then outside - first take the absolute value of what is inside the bars, then apply the outside symbol.​

-​|6| = -6

​

​(The absolute value of 6 is 6. Then we apply the negative symbol on the outside of the absolute value bars to get the answer -6.)

​-​|-16| = -16​

​(The absolute value of -16 is 16. Then we apply the negative symbol on the outside of the absolute value bars to get the answer -16.)

Multiple Select

Identify each true statement.

• $$\left|-6\right|\ =\ 6$$

• $$\left|5\right|\ =\ 5$$

• $$\left|-10\right|\ =\ -10$$

• $$-7\ =\ \left|-7\right|$$

• $$7\ =\ \left|-7\right|$$

Multiple Choice

Which is greater? - l 3 l or l -3 l

• - l 3 l

• l -3 l

Multiple Choice

$$What\ is\ -\left|75\right|?$$  

• 75

• -75

• not  possible

• 0

Multiple Choice

Evaluate: -|-12|

• 12

• -12

• 0

• 1.2

Absolute value bars are also grouping symbols, so you must complete the operation inside them first, then take the absolute value.​

​

​|5-3| = |2| = 2

Remember...multiplication can be shown in a few different ways - not just with an x.

2 x 4 = 8​

(2)(4)= 8

2 ⋅ 4 = 8

2(4)= 8

Multiple Choice

What is the sum of -8 and -2?

• -6

• 0

• -12

• -10

Multiple Choice

Find the value of -10 + (-7).

• -3

• 3

• 17

• -17

Multiple Choice

Find the sum of -9 and -1.

• -10

• -8

• 0

• -11

Multiple Choice

Calculate -5 + (-6).

• -1

• 1

• 0

• -11

Multiple Choice

-15 - 3

• 12
• -12
• -18
• 18

Multiple Choice

1 - 2

• 1
• -1
• 5
• -5

Multiple Choice

3 - (-6) =

• 5
• 9
• 7
• -9

Multiple Choice

-15 - 3

• 12
• -12
• -18
• 18

Multiple Choice

When you multiply/divide 2 positive numbers, what will the answer be?

• positive

• negative

Multiple Choice

When you multiply or divide 2 negative numbers, what will the answer be?

• positive

• negative

Multiple Choice

When you multiply or divide a positive and a negative number, what will the answer be?

• Positive

• negative

Multiple Choice

4 x 2

• 6

• 8

• 16

• 4

Multiple Choice

-3 x 5

• 8

• -15

• 20

• -20

Multiple Choice

-6 x -3

• 12

• -12

• 18

• -18

Multiple Choice

10 / 2

• 6

• 4

• 5

• 3

Multiple Choice

-8/-2

• 2

• -6

• 4

• -4

The End...
Unless you didn't get a 70% or above, then you need to try again.

Absolute value bars are also grouping symbols, so you must complete the operation inside them first, then take the absolute value.​

​

​|5-3| = |2| = 2

Multiple Choice

Evaluate |5 - 10|

• -5

• 5

Multiple Choice

Evaluate the expression.
|5 + 4|

• 9
• -9
• -1
• 1

Multiple Choice

Evaluate the expression.
|–5| + 8

• 3
• 13
• -13
• -3

Multiple Choice

Evaluate the expression.
|-2| + |-5|

• 7
• -7
• 3
• -3