Rational Numbers and Their Representations

Maria Miller from mathmoth.com explains rational numbers, which are numbers that can be expressed as a ratio of two integers. She provides examples of rational numbers in different forms, including fractions and decimals. The video also covers how to convert decimals to fractions and discusses repeating decimals as rational numbers. Additionally, the video explains negative fractions and how they are calculated.

What is a rational number?

• A number that is always negative

• A number that can be expressed as a ratio of two integers

• A number that is always positive

• A number that cannot be expressed as a fraction

Which of the following is an example of a rational number?

• e (Euler's number)

• 6/7

• Square root of 2

• Pi (π)

How can the number -4 be expressed as a rational number?

• Neither A nor B

• Both A and B

• 4/-1

• -4/1

Which of the following statements is true about whole numbers?

• Whole numbers are always negative

• Whole numbers cannot be rational numbers

• All whole numbers are rational numbers

• Only even whole numbers are rational

How can you express the number 0 as a rational number?

• 0/1

• 1/0

• 0/0

• 1/1

What is the decimal representation of the fraction 3/10?

• 0.03

• 30

• 0.3

• 3.0

Which of the following is a rational decimal number?

• e (Euler's number)

• 0.333...

• Pi (π)

• Square root of 2

Which of the following is a rational number?

• Square root of 3

• 0.5

• e (Euler's number)

• Pi (π)

Which of the following is not a rational number?

• 3/4

• 0.25

• Square root of 2

• 1/2

Which of the following is a property of rational numbers?

• They cannot be decimals

• They can be expressed as a fraction

• They are always whole numbers

• They are always positive