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.
Plotting Rational Numbers on the number line (guidelines)
- Divide each unit into the number of parts given by the denominator.
- Look for the number of tick marks given by the numerator.
Ranking rational numbers on the number line (guidelines)
- 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.
Formative assessment
Use the following applet to practice locating and ranking rational numbers on the number line.
Andre says that is less than - because, of the two numbers, is closer to 0. Do you agree? Explain your reasoning.
Which number is greater?
Which number is farther from 0?
Which number is greater?
Which number is farther from 0?
Is the number that is farther from 0 always the greater number? Explain your reasoning.