Where is that fraction?

  • If the fractions represented by the points D and E are multiplied, what point on the number line best represents the product?
  • If the fractions represented by the points C and D are multiplied, what point on the number line best represents the product?
  • If the fractions represented by the points B and F are multiplied, what point on the number line best represents the product?
  • Suppose 20 is multiplied by the number represented by E on the number line. Estimate the product.
  • Suppose 20 is divided by the number represented by E on the number line. Estimate the quotient.

(Reprinted with permission from Developing Number Sense in the Middle Grades, Addenda Series Grades 5-8, copyright 1991 by the National Council of Teachers of Mathematics. All rights reserved.)