Classifying Rational Numbers

Match Each Number to the SET it Belongs

• Natural

  (Counting)

• 7

• Integer

• 0

• Whole Number

• 3.25

• Rational

• -1

Tags

CCSS.6.NS.C.6A

Match the following to its set

• Rational

• Integer

• Rational

  (decimal)

• Rational

  (Mixed Number)

• -9

• Natural

• 3

Tags

CCSS.6.NS.C.7C

Match the following

• Positive Counting Numbers & ZERO

• Whole Numbers

• Positive Counting Numbers and Negative Opposites

• Natural

• Counting Numbers only, NO Zero

• Rational

• Positive & negative Decimals that Terminate and Repeat & Mixed Numbers

• Integers

Hey there! Can you help Daniel, Ava, and Arjun figure out which of the following is not an integer?

• 8

• -3

• -8

Answer explanation

The only option that is not an integer is \(\frac{4}{10}\), which simplifies to 0.4. The other choices, 8, -3, and -8, are all integers.

Olivia, Evelyn, and Maya are playing a number game. Can you help them figure out which of the following is a whole number?

• 9

Answer explanation

A whole number is a non-negative integer without fractions or decimals. Among the options, 9 is a whole number, while \frac{10}{9} is a fraction, and both -3 \frac{1}{2} and 2 \frac{2}{3} are mixed numbers.

Tags

CCSS.6.NS.C.6A

Grace, William, and Ethan are playing a number game. Can you help them figure out which of the following is a whole number?

• -2

• -10

• 10

• -1

Answer explanation

A whole number is a non-negative integer, including zero. Among the options, 10 is the only whole number, while -2, -10, and -1 are negative integers.

Ethan, Grace, and Sophia are having a math debate. Can you help them figure out which of the following are rational numbers?

There might be more than one correct answer, so select all that apply!

• 64

• -15

• 8.25

• ALL OF THEM

Answer explanation

All the options provided are rational numbers. Rational numbers can be expressed as a fraction of two integers. 64, -15, 7/4, and 8.25 all meet this criterion, making 'ALL OF THEM' the correct choice.

• Sophia is right

• Benjamin is right

Answer explanation

The number 74.$\overline{8}$ represents a repeating decimal (74.8888...). Natural numbers are whole numbers without fractions or decimals. Therefore, 74.$\overline{8}$ is not a natural number, making the correct answer 'No'.

Tags

CCSS.6.NS.C.7C

Integers include all whole numbers and the negative natural numbers.

• True

• False

Tags

CCSS.6.NS.C.6A

Classify -29

• natural, whole, integer, rational, real

• whole, integer, rational, real

• integer, rational, real

• rational, real

• irrational, real