Algebra U1 L7 Properties of Real Numbers

Which property is used to solve 6 · 1/6 and -4 · -1/4?

• Commutative Property

• Associative Property

• Distributive Property

• Multiplicative Inverse Property

Does the closure property hold for 7 + (-3) and 5 · 0?

• Yes, for both

• No, for both

• Yes, only for 7 + (-3)

• Yes, only for 5 · 0

Which property is explained using the example -7 + 0?

• Commutative Property

• Associative Property

• Distributive Property

• Additive Identity Property

How does the multiplicative inverse property work for 10 · 1/10?

• It results in 1

• It results in 10

• It results in 0

• It results in 100

State the Fundamental Theorem of Arithmetic.

• Every integer greater than 1 is either a prime number or can be uniquely factored into prime numbers.

• Every integer greater than 1 is either a composite number or can be uniquely factored into composite numbers.

• Every integer greater than 1 is either a prime number or can be uniquely factored into even numbers.

• Every integer greater than 1 is either a composite number or can be uniquely factored into even numbers.

Perform the operation: 3 × (4 + 5).

• 12

• 15

• 27

• 21

Simplify the rational expression: 8/16.

• 1/2

• 1/4

• 2/3

• 3/4

Convert the fraction 1/2 to a decimal and a percent.

• 0.25 and 25%

• 0.75 and 75%

• 0.5 and 50%

• 0.2 and 20%

Classify the following numbers: 2, -5, 0, 0.75, √2.

• Real

• Rational numbers

• Irrational numbers

• Integers

Can we use the commutative property of addition to show that 5 + (-3) = -3 + 5.

• True

• False

• Sometimes true

• Cannot be determined