Number Sets Review

Check all the sets below that the number 0 belongs to:

• Rational numbers

• Integers

• Whole numbers

• Counting (natural) numbers

Which of these is a real number?

• 4

• -2

• 9.8

• All of the above

Which of these is a rational number?

• 5.82728....

• 3/5

• pi

• the square root of 8

Which of these is a rational number but not an integer?

• -7

• 0.95

• 0

• 3.1234567....

The square root of 57 is ...

• rational 

• irrational 

• integer

• natural

Which number set includes numbers that cannot be expressed as a fraction of two integers and have non-repeating, non-terminating decimal expansions?

• Whole Numbers (W)

• Natural Numbers (N)

• Irrational Numbers

• Rational Numbers (Q)

To be irrational, a number must be a decimal that

• Must repeat

• Must terminate

• Must terminate and repeat

• Cannot terminate or repeat

the set of real numbers that cannot be expressed in the form of a fraction, p/q where p and q are integers. The denominator q is not equal to zero (q ≠ 0). Also, the decimal expansion of an irrational number is neither terminating nor repeating.

• rational numbers

• integers

• whole numbers

• irrational numbers

• rational numbers

• irrational numbers