Lesson 2.1 Additive Inverse and Absolute Value

Lesson 2.1: Absolute Value and Additive Inverse

Math 7- Ms. Murphy

DIRECTIONS FOR THIS QUIZIZZ

Please take out your notes and open to the vocabulary for UNIT 2!

Use the information slides in this quizizz to fill in the definition, facts/characteristics, examples, and non-examples to help with your Frayer Card homework.

Fact: No fractions or decimals.

Non-examples: 1/4, -2.5, 5.2

Definition: Positive and negative whole numbers and 0.


 
Examples: 3, -7, 26, 0, -10

Integers (Review from 6th grade)

Multiple Choice

True or False: Integers are whole numbers and their opposites

• True
• False

Multiple Choice

True or False: Integers include fractions or decimals

• True

• False

Categorize

Options (14)

-5

0

1

-10

42

-3

100

-1

3.14

-2.5

$$\frac{1}{2}$$  

$$-\frac{1}{3}$$  

-1.5

$$-\frac{5}{2}$$  

Drag and Drop the following numbers as either Integers or NOT Integers

Integers

NOT Integers

Multiple Choice

Which choice shows least to greatest

• -10, -4, -2, -1, 1, 0
• -10, -4, -1, 0, -2, 1
• 1, 0, -1, -2, -4, -10
• -10,  -4,  -2, -1, 0, 1

Multiple Choice

Which answer has the integers in order from least to greatest?

• − 9,   -5,  -3, 0,  4,  3
• − 9,   -5,  -3, 0,  3,  4
• − 5,   -9,  -3, 0,  4,  3
•  3, 4, 0, -3, -5, -9

Multiple Choice

Which is the greatest integer?

• -33
• -31
• -28
• -17

Multiple Choice

Which is the smallest integer?

• 1

• -1

• -2

• -8

Fact: a + -a = 0.

Non-examples:
5 + 5 = 10, 5 + -3 = 2***,
-5 + -5 = -10***

Definition: The opposite of a number. A number and its opposite add to 0. 

Examples: 5 + -5 = 0,
-10 + 10 = 0

Additive Inverse

Additive Inverse

Multiple Choice

What is the additive inverse of -77?

• 77

• -77

Multiple Choice

What is the additive inverse of 87?

• -87

• 87

Multiple Choice

• A

• B

• C

• D

Multiple Choice

What is the opposite of 3?

• -3
• 0
• 3
• 1/3

Examples: |5| = 5 |-5| = 5

Non-examples:
|5| ≠ -5 because absolute value is always positive

|-3| ≠ -3 absolute value is always positive

-4 ≠ 4 *only works if you have the number in the | | bars.

Definition: The distance a number is from zero on the number line


Fact: Answers are ALWAYS positive. Use vertical bars as notation.

|-3| is read as "the absolute value of -3" which means how far is -3 from 0?

Absolute Value

Multiple Choice

Is absolute value always positive?

• yes
• no

Multiple Choice

What is the reason that absolute value is always written as a positive?

• Absolute value is talking about numbers so it must be positive.
• Absolute value does not always have to be positive.
• Absolute value is like a clock it has only positive numbers.
• Absolute value is talking about distance, distance is always measured by positive numbers.

Multiple Choice

What is the definition of absolute value?

• The value of a number
• The opposite of a number
• The distance of a number from zero
• The multiplicative inverse of a number

Multiple Choice

Evaluate |-13|

• -13

• 13

Multiple Choice

Evaluate |13|

• -13

• 13

Multiple Choice

Evaluate: |-12|

• 12

• -12

• 0

• 1.2

Multiple Choice

Evaluate: |0|

• 0

• -0

• +0

• There is no answer

Multiple Choice

Which number has the greater absolute value?
-6 or -2

• -6
• -2
• they have the same absolute value
• 6

Multiple Choice

Compare these Integers using the symbols:
<  >   =
| -13 |  ____  | 4 |

• <
• >
• =

Multiple Choice

Order from Least to Greatest:

-13, -7, -18, |-14|, |5|

• -18, -13, -7, |5|, |-14|

• -18, |-14|, -13, -7, |5|

• -7, -13, |-14|, -18, |5|

• |5|, -7, -13, |-14|, -18