Rational Numbers on a Numberline

Drag each point to its proper place on the number line. Use your observations in order to answer the questions below the applet.

Andre says that [math]\frac{1}{4}[/math] is less than -[math]\frac{3}{4}[/math] because, of the two numbers, [math]\frac{1}{4}[/math] is closer to 0. Do you agree? Explain your reasoning.

Which number is greater?

[math]\frac{5}{4}[/math] [math]\frac{1}{4}[/math]

Which number is farther from 0?

[math]\frac{1}{4}[/math] [math]\frac{5}{4}[/math]

Which number is greater?

[math]-\frac{3}{4}[/math] [math]\frac{5}{8}[/math]

Which number is farther from 0?

[math]\frac{5}{8}[/math] [math]-\frac{3}{4}[/math]

Is the number that is farther from 0 always the greater number? Explain your reasoning.

Information: Rational Numbers on a Numberline