Understanding Rational Numbers

In this Mad Math Minute episode, Melvin and Maddie introduce rational numbers. They start by explaining natural and whole numbers, followed by integers, which include both positive and negative whole numbers. The hosts then define rational numbers as numbers that can be expressed as a fraction of two integers, with examples like one-third and negative three-fourths. They also discuss how rational numbers can be represented as repeating or terminating decimals. The episode concludes with a Venn diagram illustrating the relationships between whole numbers, integers, and rational numbers.

What are the numbers called that we naturally count by?

• Integers

• Natural numbers

• Whole numbers

• Rational numbers

Which of the following is NOT a whole number?

• 0

• 5

• 3

• -1

What do integers include?

• Only positive numbers

• Only negative numbers

• Fractions

• Positive and negative whole numbers

Which of the following is a rational number?

• Square root of 2

• e

• 1/3

• Pi

What is the decimal form of 1/3?

• 0.333

• 0.333...

• 0.3

• 0.33

Which of these numbers can be expressed as a terminating decimal?

• 1/4

• 1/9

• 1/3

• 1/7

What does a rational number's decimal form do?

• Always repeats

• Always terminates

• Repeats or terminates

• Never repeats or terminates

In the Venn diagram, where are all whole numbers located?

• Outside integers

• Inside natural numbers

• Inside integers

• Outside rational numbers

Which set of numbers is the largest in the Venn diagram?

• Natural numbers

• Rational numbers

• Integers

• Whole numbers

What is the relationship between integers and rational numbers?

• Integers are outside rational numbers

• Integers and rational numbers are the same

• All rational numbers are integers

• All integers are rational numbers