Real Number System

Classify the number -5. Is it a rational number or an irrational number?

• rational number

• irrational number

• whole number

• imaginary number

Identify the rational number among the following: 0.25, √2, -3, 1/2

• 0.75

• √3

• -2

• 0.25, 1/2

Is the number 3.14159265359... a rational number or an irrational number? Explain your answer.

• Rational number

• Complex number

• Integer

• Irrational number

Classify the number 0.333... as a rational number or an irrational number.

• irrational number

• whole number

• rational number

• imaginary number

Identify the irrational number among the following: 1/3, √9, 0.5, -2

• 1/3

• 0.5

• -2

• √9

Explain the difference between rational and irrational numbers with examples.

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

• Rational numbers have repeating decimal representations, while irrational numbers have non-repeating, non-terminating decimal representations.

• Rational numbers include only integers, while irrational numbers include only non-integers.

• Rational numbers can be expressed as a fraction of two integers, while irrational numbers cannot be expressed as a fraction and have non-repeating, non-terminating decimal representations. For example, 1/2 is a rational number, and √2 is an irrational number.

Is the number 5 a rational number or an irrational number? Justify your answer.

• imaginary

• irrational

• rational

• whole number

Classify the number √16 as a rational number or an irrational number.

• integer

• irrational number

• whole number

• rational number

Identify the rational number among the following: √25, 0.75, -4, 2/3

• 0.75, 2/3

• 1/2

• -4

• √25

Explain how to determine if a number is rational or irrational.

• Ask a mathematician to determine it

• Check if the number can be expressed as a fraction of two integers. If it can, then it is rational; if it cannot, then it is irrational.

• Check if the number is divisible by 3

• Count the number of vowels in the number