Classifying Real Numbers

Integers are

• ..., -3, -2, -1, 0, 1, 2, 3, ...

• ..., -2.5, -1.5, 0.5, 1.5, ...

• ..., -4, -3, -2, -1, 0, 1, 2, 3, 4, ...

• ..., 0, 1, 2, 3, 4, 5, ...

Rational numbers are

• numbers that can be expressed in fraction form.

• numbers that cannot be expressed as a fraction.

• whole numbers only.

• numbers that are always negative.

What is the decimal representation of 1/4?

• 0.15

• 0.20

• 0.25

• 0.30

Whole numbers are

• -1, 0, 1, 2

• 0, 1, 2, 3, 4, ...

• 1.5, 2.5, 3.5, 4.5

• 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

How do you identify a rational number?

• A rational number can be expressed as a/b where a and b are integers and b ≠ 0.

• A rational number is always a whole number.

• A rational number cannot be expressed as a fraction.

• A rational number is a number that has a repeating decimal.

Natural numbers are

• 0, 1, 2, 3, ...

• 1, 2, 3, 4, ...

• -1, 0, 1, 2, ...

• 1, 2, 3, 4, 5, 6, ...

How can you convert a repeating decimal to a fraction?

• By using algebraic methods to express the repeating decimal as a fraction.

• By simply rounding the decimal to the nearest whole number.

• By multiplying the decimal by 10 and subtracting the original decimal.

• By using a calculator to find the fraction equivalent.

Give an example of a rational number.

• 1/2 is a rational number.

• √2 is a rational number.

• π is a rational number.

• 3.14 is a rational number.

What is the difference between whole numbers and natural numbers?

• Whole numbers include 0, while natural numbers start from 1.

• Whole numbers are always negative, while natural numbers are positive.

• Natural numbers include 0, while whole numbers start from 1.

• Whole numbers are fractions, while natural numbers are integers.

What is an example of an irrational number?

• √2 is an example of an irrational number.

• 1/3 is an example of an irrational number.

• √4 is an example of an irrational number.

• 0.5 is an example of an irrational number.