Understanding Rational Numbers on a Number Line

This video by Mr. J introduces rational numbers and demonstrates how to identify and graph them on a number line. It covers the definition of rational numbers, explains how to locate them on a number line, and provides examples of graphing both positive and negative rational numbers. The video also highlights the conversion between fractions and decimals, emphasizing the importance of understanding both forms.

What is a rational number?

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

• A number that cannot be expressed as a fraction

• A number that is always positive

• A number that is always negative

On a number line, which direction represents increasing values?

• Down

• Left

• Right

• Up

If a point is located at -2 on a number line divided into fourths, what is its decimal representation?

• -2.0

• -2.75

• -2.5

• -2.25

What is the decimal equivalent of 3/4?

• 0.5

• 0.25

• 1.0

• 0.75

Where is point V located on a number line divided into fifths?

• At -1/5

• At 1/5

• At 0

• At 1

What is the decimal form of 1 and 4/5?

• 1.2

• 1.4

• 1.6

• 1.8

How would you graph -3 on a number line divided into fourths?

• At zero

• Above zero

• To the left of zero

• To the right of zero

What is the fractional form of 0.75?

• 1/4

• 1/2

• 2/3

• 3/4

When graphing 2 and 3/10 on a number line divided into halves, what should you do?

• Estimate its position between 2 and 2.5

• Place it exactly on a half

• Place it at 2

• Place it at 3

How do you convert an improper fraction like 9/2 to a mixed number?

• Add the numerator to the denominator

• Divide the numerator by the denominator

• Subtract the denominator from the numerator

• Multiply the numerator by the denominator