Classifying Real Numbers

Why is -4 not a whole number?

• It's negative and whole numbers are positive.

• It is less than zero and whole numbers are greater than zero.

• It is not an integer and whole numbers are integers.

• It is a fraction and whole numbers are not fractions.

Classify the number -12.

• Real, Rational, Integer

• Imaginary, Complex, Rational

• Whole, Natural, Integer

• Real, Whole, Irrational

What is a whole number?

• Whole numbers are negative integers, including zero (-1, -2, -3, ...).

• Whole numbers are non-negative integers, including zero (0, 1, 2, 3, ...).

• Whole numbers are all integers, both positive and negative (....-3, -2, -1, 0, 1, 2, 3...)

• Whole numbers are only the positive integers (1, 2, 3, ...).

Is every integer a rational number?

• True, because integers can be expressed as a fraction with a denominator of 1.

• False, because integers cannot be expressed as fractions.

• True, but only for positive integers.

• False, because only whole numbers are rational.

Classify the number -3.14.

• Real

• Rational

• Irrational

• Imaginary

Is ½ a terminating decimal or a repeating decimal?

• Terminating decimal

• Repeating decimal

• Non-terminating decimal

• Irrational number

Is 2 a natural number?

• True

• False

• Maybe

• Not sure

What is a natural number?

• Natural numbers are the set of positive integers starting from 1 (1, 2, 3, ...).

• Natural numbers include all integers, both positive and negative.

• Natural numbers are the set of whole numbers including zero (0, 1, 2, ...).

• Natural numbers are the set of fractions and decimals.

What is the difference between a terminating decimal and a repeating decimal?

• A terminating decimal has a finite number of digits after the decimal point, while a repeating decimal has one or more digits that repeat infinitely.

• A terminating decimal is a whole number, while a repeating decimal is always less than one.

• A terminating decimal can be expressed as a fraction, while a repeating decimal cannot.

• A terminating decimal has an infinite number of digits, while a repeating decimal has a finite number of digits.

Which of the following is an irrational number? 2.5, 5.72314....., -17, 1/2

• 2.5

• 5.72314.....

• -17

• 1/2