Properties of Integers

Properties of Integers

Practice

Multiple Choice

What is the multiplicative inverse of 2/3?

• -2/3
• 3/2
• -3/2
• 2/3

Multiple Choice

What is the additive inverse of 2/3?

• -2/3
• 3/2
• 2/3
• -3/2

Multiple Choice

3+0=3
is an example of which property?

• Multiplicative Inverse
• Additive Identity
• Multiplicative Identity
• Additive inverse

Multiple Choice

To solve this equation, which property would be useful:
x+5=17

• Multiplicative Inverse
• Additive Identity
• Multiplicative Identity
• Additive inverse

Multiple Choice

This is an example of which property:
(2⋅3)4=2⋅3⋅4

• Associative
• Commutative
• Inverse
• Identity

Multiple Choice

This is an example of which property:
(2⋅3)4=(3⋅2)4

• Associative
• Commutative
• Inverse
• Identity

Multiple Choice

Identify the property
a + 0 = a

• identity of addition
• identity of multiplication
• inverse of addtion
• multiplication of zero

Multiple Choice

Identify the property
a(b + c) = ab + ac

• Associative of addtion
• Distributive
• Commutative of addition
• Inverse

Multiple Choice

Identify the property 
a + (-a) = 0

• Inverse of addition 
• Identity of addtion
• associative of addition 
• symmetric

Practice 2

Multiple Choice

Which property states that the order does not matter in addition and multiplication?

• Identity

• Commutative

• Closure

• Inverse

Multiple Choice

Which one shows an example of associative property of addition?

• 3 + 4 + 2 = 2 + 4 + 3

• (3 + 4) + 2 = 2 + (3 + 4)

• (3 + 4) + 2 = 3 + (4 + 2)

• 2 + (3 + 4) = (3 + 4) + 2

Multiple Choice

7 (8 x 9) = 9 (8 x 7) illustrates what property of multiplication?

• Commutative

• Associative

• Distributive

• Identity

Multiple Choice

2 x 9 = 9 x 2, identify the property being used

• Distributive

• Commutative

• Associative

• Inverse

Multiple Choice

Any number multiplied by 1 is equal to the number itself. What property is being stated?

• Multiplicative Inverse

• Additive Identity

• Additive Inverse

• Multiplicative Identity

Multiple Choice

Any number multiplied by 1 is equal to the number itself. What property is being stated?

• Multiplicative Inverse

• Additive Identity

• Additive Inverse

• Multiplicative Identity

Multiple Choice

The _____________ property of addition states that any number plus zero equals the same number.

• Identity

• Commutative

• Associative

• Inverse

Multiple Choice

3 (x + 2) becomes 3x + 6, what property is being applied?

• Symmetric

• Commutative

• Distributive

• Associative

Multiple Choice

What property is being shown in 77 + (8 + 3) = (8 + 3) + 77?

• Distributive

• Commutative

• Associative

• Identity

Multiple Choice

5 + 0 = 5 illustrates what property?

• Zero Product

• Reflexive

• Identity

• Inverse

Multiple Choice

Which of the following is an example of zero property of multiplication?

• $$7+\left(-7\right)$$

• $$-7\times0=0$$

• $$7-7=0$$

• $$7+0=7$$

Multiple Choice

What is the additive inverse of –10?

• -10

• $$\frac{-1}{10}$$

• $$\frac{1}{10}$$

• 10

Rational Numbers

A rational number is a number than can be written in the form

 $\frac{a}{b}$  , where $a$  and $b$  are integers, and  $b\ne0$  

Decimal form to fraction form

https://www.youtube.com/watch?v=qesj2jpktaE

Converting Decimals to Fractions by Math with Mr. J

Don't forget to simplify the fractions!

•  $\frac{4}{10}=\frac{2}{5}$  

•  $\frac{4}{100}=\frac{1}{25}$  

•  $\frac{603}{1000}$  is in simplest form.

Practice

Express the following rational numbers in decimal form to fraction form, in simplest form.

Multiple Choice

Change to a fraction:

0.08

• 2/250

• 2/25

• 2/100

• 8

Multiple Choice

Change to a fraction:

0.05

• 1/20

• 1/200

• 1/2

• 5

Multiple Choice

Change to a fraction:

0.11

• 11/10

• 11/1000

• 11/100

• 11

Multiple Choice

Change to a fraction:

0.18

• 18/50

• 9/50

• 17/50

• 18

Multiple Choice

Change to a fraction:

0.37

• 37/100

• 37/10

• 37/1000

• 37

Fraction form to decimal form

https://www.youtube.com/watch?v=guBVW5PiHLs

How to Convert Fractions to Decimals by Math with Mr. J

Practice

Express the following rational numbers in fraction form to decimal form.

Multiple Choice

Convert into a decimal: 16/50

• 0.32

• 0.16

• .161616...

• 0.38

Multiple Choice

Convert to a decimal: 8/25

• .22

• .34

• .32

• .5

Multiple Choice

Convert to a decimal: 20/100

• .02

• .1

• .2

• 2.0

Multiple Choice

Convert to a decimal 15/20

• .90

• .65

• .70

• .75