Drag each point to its proper place on the number line. Use your observations in order to answer the questions below the applet.
[list][*]Divide each unit into the number of parts given by the denominator.[/*][*]Look for the number of tick marks given by the numerator.[/*][/list]
[list][*]Find the least common multiple (lcm) of the denominators.[/*][*]Find equivalent fractions to the originals with the same common denominator.[/*][*]Rank from least to highest, according to the new numerators.[/*][/list]
Use the following applet to practice locating and ranking rational numbers on the number line.
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.
Andre is incorrect. [math]\frac{1}{4}[/math] is to the right of [math]-\frac{3}{4}[/math], so it is greater.
Which number is farther from 0?
Which number is farther from 0?
Is the number that is farther from 0 always the greater number? Explain your reasoning.
No. Numbers to the right are greater than numbers to the left.