Understanding Rational Numbers and Their Classifications

What is a rational number?

• A number that is always positive.

• A number that cannot be expressed as a fraction.

• A number that can be written as a fraction where both numerator and denominator are integers and the denominator is not zero.

• A number that can be written as a fraction where the denominator is zero.

Which of the following is a natural number?

• 1.5

• 0

• -1

• 3

What distinguishes whole numbers from natural numbers?

• Whole numbers include negative numbers.

• Whole numbers include zero.

• Whole numbers are only positive.

• Whole numbers are fractions.

Which of the following is an integer?

• 1.5

• 0.75

• -5

• 2/3

How can the number 8 be expressed as a rational number?

• 1/8

• 0/8

• 8/1

• 8/0

In a Venn diagram showing integers and whole numbers, where would the number 10 be placed?

• In both integers and whole numbers sections

• Outside both sections

• Only in the whole numbers section

• Only in the integers section

Which number would be located only in the integers section of a Venn diagram?

• 10

• 2/3

• -8

• -1.7

Which of the following numbers is a rational number but not an integer?

• 3

• -2

• 3.4

• 0

In a graphic organizer, where would the number -1.2 be placed?

• Rational numbers

• Natural numbers

• Whole numbers

• Integers

Which graphic organizer correctly groups the numbers 3.4, -2, 3, and -1.2?

• Rational: 4; Integers: -2, -1.2; Whole: 3

• Rational: 3.4, -1.2; Integers: -2; Whole: 3

• Rational: 3.4; Integers: -1.2; Whole: -2, 3

• Rational: None; Integers: -2, 3.4, -1.2; Whole: 3