Number System Review

Number System Review

Integers - positive whole numbers and zero and their opposites

• Positive - gain, increase, deposit, accelerate, ascend, above sea level, above freezing, rise

• Negative - loss, decrease, withdrawal, decelerate, descend, below sea level, below freezing, drop

Multiple Choice

Write an integer to match the following scenario, $5 deposit.

• +5

• -5

• -4

• 4

Multiple Choice

Write an integer to match the following scenario, a temperature of 10 degrees below zero.

• -10

• -11

• 10

• 11

Multiple Choice

Which integer represents a gain of 10 yards on a football play?

• +10
• -10

Multiple Choice

Which integer represents a withdrawal from your bank account of $50

• -$50
• $50
• +$50

Multiple Choice

Which is not negative?

• Withdrawal
• Loss
• Fine
• Bonus

Opposites

• same distance from zero, but in the opposite direction

• - (-5) = 5

• - ( 6) = -6

Multiple Choice

What is the opposite -5?

• 5
• 0
• -5
• 10

Multiple Choice

What is the opposite of 12?

• 12
• -12
• 0
• 1/12

Multiple Choice

-( 98 ) = ?

• 1/98

• -1/98

• 98

• -98

Multiple Choice

-( -54 ) = ?

• 1/54

• -1/54

• 54

• -54

Multiple Choice

What is -(-17)?

• 17
• -17
• 1/17
• 0

Multiple Choice

- (x) = 5

What is x?

• 5

• -5

Comparing Integers

• Which would you rather have?

• a loss of 5 or a loss of 10?

• -5 -10

• -5 > -10

Multiple Choice

Which is bigger?

• -2
• -12

Multiple Choice

Which is bigger?

• -7
• -8

Multiple Choice

Compare:  0  ?  8

• =
• >
• <

Multiple Choice

Compare:  -3  ?  -5

• >
• <
• =

Multiple Choice

Compare:  18  ?  23

• >
• <
• =

Ordering Rational Numbers

• Who lost the most to who gained the most

• -100, -50, -25, 0, 20, 40, 60

Multiple Choice

Order from least to greatest:
[-100, -89, -90, -87, -99]

• -87, -89, -90, -99, -100
• -100, -99, -89, -90, -87
• -100, -99, -90, -89, -87
• -90, -87, -89, -99, -100

Multiple Choice

Order from least to greatest:
[8, 4, -5, 12, -14, 3]

• 3, 4, -5, 8, 12, -14
• -14, -5, 3, 4, 8, 12
• 12, -14, -5, 3, 4, 8
• -5, -14, 3, 4, 8, 12

Multiple Choice

Order from least to greatest:
[10, -5, 3, 16, -1, 0, 1]

• -1, -5, 0, 1, 3, 10, 16
• 16, 10, 3, 1, 0, -1, -5
• -5, -1, 0, 1, 3, 10, 16
• 0, -1, 1, 3, -5, 10, 16

Multiple Choice

Order from least to greatest: -12, 15, -1, 3, 

• 15, 3, -1, -12
• 15, 3, -12, -1
• -1, -12, 3, 15
• -12, -1, 3, 15

Multiple Choice

Order from least to greatest:  -5, -17, 3, 0 

• 3, 0, -5, -17
• 3, 0, -17, -5
• -17, -5, 0, 3
• -5, -17, 0, 3

Absolute Value

• How far a value is from zero.

• | -4 | = 4

• |4| = 4

• | x | = 16 x could be 16 or -16

Multiple Choice

Select the true statement

• |-220| = -220 and 220
• -|220|=  220
• |-220|= 220
• |-220|= -220

Multiple Choice

|-20|

• 20
• -20

Multiple Choice

Compare |-5| to the |-10|

• |-5| > |-10|
• |-5| = |-10|
• |-5| < |-10|

Multiple Choice

Which has the same absolute value as -55?

• 0
• -1
• 1
• 55

Multiple Select

Select all that apply

|x| = 15

• x = 15

• x = -15

• x = 30

• x = -30

Distance

• same sign, subtract

• distance from -2 to -10 10 - 2 = 8

• distance from 14 to 8 14 - 8 = 6

• Opposite signs, add

• distance from -3 to 7 3 + 7 = 10

Multiple Choice

How far apart are -5 and -15?

• 10

• 20

• -10

• -20

Multiple Choice

How far apart are -7 and 7?

• 0

• 14

• -14

Multiple Choice

How far apart are -11 and 2?

• 13

• 9

• -13

• -9

Multiple Choice

How far apart are -6 and 8?

• 2

• 14

• -2

• -14

Multiple Select

Which numbers are 6 units away from each other?

• -1 and 5

• 1 and 5

• -1 and -7

• 1 and 7

• -1 and 7

Distance on the coordinate plane

• (x,y) if the x values match, ignore them

• (1, 2) and (1, -3) are 5 units apart

• (x,y) if they y values match, ignore them

• (4, -5) and (5, -5) are 1 unit apart

Multiple Choice

Find the distance between the two ordered pairs.

• -5

• 9

• 15

• 5

Multiple Choice

In the coordinate plane, what is the distance between (-3, 5) and (-3, -8)?

• 3 units
• 6 units
• 8 units
• 13 units

Multiple Choice

What is the distance between points (3, -5) and (3, -8)?

• 1 unit
• 2 units
• 3 units
• 4 units

Multiple Choice

What is the distance between points (-7, 8) and (2, 8)?

• 4 units
• 5 units
• 3 units
• 9 units