Understanding Rational Numbers and Number Lines

The video tutorial covers the concept of rational numbers, explaining that they include integers, fractions, and decimals. It demonstrates how to plot these numbers on a number line, using examples like freezing points of liquids and locations relative to City Hall. The tutorial emphasizes understanding the position of numbers between integers and provides step-by-step guidance for graphing.

What is a rational number?

• A number that cannot be expressed as a fraction.

• A number that is only an integer.

• A number that is always positive.

• A number that can be written as a fraction with a non-zero denominator.

Which of the following is NOT a rational number?

• 1/3

• 0.75

• 5

• √2

What is the freezing point of carbonated water as a rational number?

• -0.3

• -0.5

• 1.4

• 0.3

How do you determine the starting point for plotting a rational number on a number line?

• By comparing it to the number 1.

• By looking at the decimal part.

• By identifying the whole number part.

• By checking if the number is positive or negative.

Where would you plot -0.5 on a number line?

• Between -1 and 0

• Between -2 and -1

• Between 1 and 2

• Between 0 and 1

What is the equivalent fraction of 1.25?

• 5/4

• 3/2

• 1/2

• 7/4

If a location is 3/8 miles from the city hall, where would it be plotted?

• Between 1 and 2

• Between -2 and -1

• Between -1 and 0

• Between 0 and 1

What is the next integer after 1 on a number line?

• 0

• 3

• 2

• -1

When graphing a negative rational number, which direction do you move on the number line?

• Up

• Left

• Down

• Right

What should you do if a rational number has no whole number part when plotting?

• Start at 2

• Start at -1

• Start at 0

• Start at 1