Rational and Irrational Numbers – Review Test

Grace is sorting different types of numbers for her math project. Which of the following numbers can she classify as a rational number?

• π

• √50

• 3/4

• √2

William is trying to measure the length of a diagonal in his square garden. He finds that the number he gets cannot be written as a fraction and its decimal goes on forever without repeating. What kind of number has these properties?

• It can be written as a fraction

• It has a repeating decimal

• It cannot be written as a fraction and its decimal goes on forever without repeating

• It is a whole number

Tags

CCSS.8.NS.A.1

Nora is baking cookies and measures 0.333... cups of sugar. Which of the following numbers can be written as a fraction?

• 0.333...

• √2

• π

• √3

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1

Hannah is baking a cake and uses 0.25 cups of sugar. Why is the number 0.25 considered rational?

• It is an irrational number

• It terminates as a decimal and equals 1/4

• It cannot be written as a fraction

• Its decimal never repeats or ends

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1

Samuel is measuring the circumference of a circular garden and uses different numbers in his calculations. Which of the following numbers that Samuel might use is an example of an irrational number?

• 7

• 2/7

• π

• 0.333

Tags

CCSS.8.NS.A.1

Abigail is sorting different types of numbers for her math project. She comes across the following numbers. Which one is irrational?

• 15/4

• 0.333...

• 2.236067...

• -5

Tags

CCSS.8.NS.A.1

Abigail is dividing a pizza into equal slices to share with her friends. Which of the following numbers could represent the amount of pizza each person gets, if everyone gets an exact, rational share?

• 9/2

• √7

• π + 1

• 2.236067...

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1

Maya is sorting different types of numbers for her math project. Which of the following statements is TRUE about the numbers she might encounter?

• All fractions are rational numbers.

• All fractions are irrational numbers.

• All repeating decimals are irrational numbers.

• All integers are irrational numbers.

Nora is laying out square tiles for a garden. Each side of the square garden is 9 meters long. What is the value of √81, which represents the length of one side, and how is it classified?

• 9, Rational

• 9, Irrational

• 81, Rational

• 81, Irrational

Oliver is discussing numbers with his friends. Which of the following statements made by Oliver is FALSE?

• √16 is irrational.

• All irrational numbers are decimals that never repeat or terminate.

• 0.123123123... is rational.

• 22/7 is a rational number.

Tags

CCSS.8.NS.A.1