Real Number System

Select all Numbers that belong to the subset of Natural.

Answer explanation

Remember that Natural Numbers are positive, non-decimals and not 0.

Natural numbers are numbers that we count with.

Select all the numbers that fit in the subset of Integer.

Answer explanation

Recall that integers are non-decimals (meaning they cannot have a decimal).

Recall that you should simplify numbers to see if they are decimals or not to determine if the number is an integer.

• Real numbers

• Rational numbers

• Integers

• Whole numbers

• Natural numbers

Answer explanation

All numbers we encounter are real.

This is a terminating (ending) decimal. That makes it rational.

Because it is a decimal, it is not an integer.

• Rational number

• Integer

• Whole number

• Natural number

Answer explanation

0 terminates, making it rational.

It is not a decimal, so it is an integer.

It is not negative, so it is whole.

Zero is the only whole number that is not natural.

Which of the following is NOT an irrational number?

Which of the following is NOT a natural number?

• 12

• 3,000

• 5

• 0

Answer explanation

Natural numbers are counting numbers.

Natural numbers are non-decimals, positive and not 0.

Natural numbers are all whole numbers except 0.

• Integer

• integer, real

• integer, whole, rational

• integer, rational, real

• natural, whole, integer, rational

• whole, integer, rational

• rational

• natural, whole, integer, rational, real

• Irrational number

• Natural number

• Rational number

• Real

• Rational

• Irrational