Understanding Rational Numbers and Absolute Values

This video tutorial explains how to plot and order rational numbers on a number line. It begins by defining integers and rational numbers, highlighting that integers are whole numbers and their opposites. The tutorial then demonstrates how to convert fractions to decimals for easier plotting on a number line. It guides viewers through plotting negative fractions and decimals, emphasizing the importance of understanding the number line's divisions. Finally, the video teaches how to order these numbers from least to greatest, reinforcing the concept of comparing rational numbers based on their position on the number line.

What is an integer?

• A whole number and its opposite

• A number that can be written as a fraction

• A positive number only

• A number with a decimal point

Which of the following is true about integers?

• They are always positive

• They have no opposites

• They cannot be plotted on a number line

• They include zero

What is the absolute value of -3?

• -3

• 3

• -1

• 0

What defines a rational number?

• A number that is always an integer

• A number that cannot be negative

• A number that is always positive

• A number that can be expressed as a fraction

Which of the following is a rational number?

• π

• 1/8

• √2

• 3.14

Which of the following is not a rational number?

• -3

• 0

• 3

• π

Why is it helpful to convert fractions to decimals when plotting on a number line?

• Decimals are easier to understand

• Decimals provide a common form for comparison

• Fractions cannot be plotted

• Fractions are not rational numbers

What is the decimal equivalent of -5/10?

• 5.0

• 0.5

• -5.0

• -0.5

How do you plot -8/10 on a number line?

• Move 10 spaces to the left of zero

• Move 10 spaces to the right of zero

• Move 8 spaces to the left of zero

• Move 8 spaces to the right of zero

Where is -25/100 located on a number line?

• To the right of -2/10

• To the right of zero

• At the same point as -2/10

• To the left of -2/10