Rational Numbers and Roots Review

Which of the following best describes a rational number?

• A number that cannot be expressed as a ratio of two integers

• A number that can be expressed as a ratio of two integers

• A decimal that repeats infinitely

• A square of a whole number

Tags

CCSS.5.NBT.A.2

Which of the following is an example of a terminating decimal?

• 0.3333...

• 0.5

• π

• 0.101001...

Tags

CCSS.8.NS.A.1

CCSS.7.NS.A.2D

A student claims that 0.3333... is a repeating decimal. Use your understanding of repeating and terminating decimals to explain if the student is correct and why.

• The student is correct because 0.3333... has digits that repeat infinitely.

• The student is incorrect because 0.3333... is a terminating decimal.

• The student is correct because 0.3333... is a perfect square.

• The student is incorrect because 0.3333... is an irrational number.

Tags

CCSS.8.NS.A.1

CCSS.7.NS.A.2D

Given the definition of a perfect square, which of the following numbers is NOT a perfect square?

• 16

• 25

• 36

• 20

A teacher asks you to find the cube root of 64. Explain the process you would use to solve this problem and select the correct answer.

• Find a number that, when multiplied by itself twice, equals 64; the answer is 8.

• Find a number that, when multiplied by itself three times, equals 64; the answer is 4.

• Find a number that, when multiplied by itself four times, equals 64; the answer is 2.

• Find a number that, when multiplied by itself once, equals 64; the answer is 64.

Tags

CCSS.8.EE.A.2

Which of the following statements best describes a rational number?

• A number that cannot be expressed as a ratio of two integers.

• A number that can be expressed as a ratio of two integers.

• A number that is always a repeating decimal.

• A number that is always a terminating decimal.

Tags

CCSS.8.NS.A.1

CCSS.7.NS.A.2D

What is the main difference between rational and irrational numbers?

• Rational numbers are always positive, irrational numbers are always negative.

• Rational numbers can be expressed as a ratio of two integers, irrational numbers cannot.

• Rational numbers are always whole numbers, irrational numbers are always fractions.

• Rational numbers are always repeating decimals, irrational numbers are always terminating decimals.

Tags

CCSS.8.NS.A.1

If x³ = 64, what is the value of x?

• 8

• 4

• 16

• 2

Tags

CCSS.8.EE.A.2

Given the numbers √9, √11, and √16, which of the following correctly compares them?

• √9 < √16 < √11

• √11 < √9 < √16

• √9 < √11 < √16

• √16 < √11 < √9

Tags

CCSS.6.NS.C.7A

CCSS.6.NS.C.7B

A student claims that π (pi) is a rational number because it has decimals. Using reasoning, explain why this claim is incorrect.

• π is rational because it can be written as a fraction.

• π is irrational because it cannot be expressed as a ratio of two integers.

• π is rational because it is a repeating decimal.

• π is rational because it is a terminating decimal.

Tags

CCSS.8.NS.A.1