Understanding Rational Numbers and Number Lines

This video by Mr. J provides an introductory mini-course on rational numbers and number lines. It covers identifying, graphing, comparing, and ordering rational numbers using number lines. The video explains that rational numbers can be expressed as fractions of integers, with decimal forms that either terminate or repeat. It demonstrates how to identify and graph these numbers on number lines, compare them by their positions, and order them from least to greatest. The video aims to build a solid understanding of rational numbers and their representation on number lines.

What is a rational number?

• A number that is always negative.

• A number that is always positive.

• A number that cannot be expressed as a fraction.

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

On a number line, where are positive numbers located?

• Below zero

• Above zero

• To the right of zero

• To the left of zero

How can fractions be represented on a number line?

• As both fractions and decimals

• Only as decimals

• Only as negative numbers

• Only as whole numbers

What is the decimal equivalent of 3/4?

• 0.5

• 0.25

• 1.0

• 0.75

When graphing -3 on a number line, where should it be placed?

• At zero

• To the left of zero

• To the right of zero

• Above zero

Which number is greater: -2 or -4?

• -2

• Cannot be determined

• -4

• They are equal

How do you determine which of two rational numbers is greater using a number line?

• The number further to the right is greater

• The number further from zero is greater

• The number further to the left is greater

• The number closer to zero is greater

What is the first step in ordering rational numbers from least to greatest?

• Identify the smallest number

• Identify the largest number

• Convert all numbers to decimals

• Convert all numbers to fractions

Which of the following is the correct order from least to greatest: -2, 0, 1/2, 3/4?

• -2, 0, 1/2, 3/4

• 1/2, 3/4, 0, -2

• 0, -2, 1/2, 3/4

• 3/4, 1/2, 0, -2

What is the decimal form of 9/10?

• 0.5

• 1.1

• 0.75

• 0.9