M8 - REVIEW-Rational/Irrational numbers and estimating Roots

Which of the following is an irrational number?

• 0.333

• $\sqrt{8}$

• $\sqrt{49}$

• $\frac{5}{22}$

What type of number is a non-repeating, non-terminating decimal?

• irrational

• prime

• rational

• imaginary

The number  $-\sqrt{16}$  belongs to what number system(s)?

• natural number

• whole number

• integer

• rational number

• imaginary number

Which statement about  $\sqrt{15}$  and  $\pi$  is true?

• Both numbers can be categorized as rational.

• Both numbers can be written as decimal numbers that neither terminate nor repeat.

• Both numbers can be written as fractions with integer numerators and denominators.

• Both numbers can be categorized as natural numbers because they are positive.

The value of π cannot be written as the ratio of two integers. Which statement is true?

• π is a rational number.

• π is an irrational number.

• The decimal expansion of π terminates.

• The decimal expansion of π repeats.

Which point best represents  $\sqrt{10}$  on a number line?

• point A

• point B

• point C

• point D

Between which two numbers does  $\sqrt{11}$  lie on a number line?

• 4 and 5

• 5 and 6

• 10 and 11

• 3 and 4

Which best represents the position of  $\sqrt{8}$  on the number line below?

• Point P

• Point Q

• Point R

• Point S

Which is the best rational approximation for  $\sqrt{55}$  ?

• 7.5

• 27.5

• 5.5

• 11.0

What is a rational number ?

• A rational number  is a number that cannot be written as a fraction.
• A rational number is a number that can be written as a fraction.
• A rational number cannot be a repeating  decimal.