Multiplying and Dividing

Reason About Numbers

Work Time

Reason About Numbers

Carlos says, “When you divide by a number, the result is always smaller than the number you started with. For example, when I divide 10 by 2, I get 5, which is smaller than 10.”

  • Without doing any calculations, say whether you think Carlos’s statement is true.
  • Now investigate Carlos’s statement. Try several different starting numbers (including whole numbers, fractions, and decimals) and divide by numbers of different types and different sizes. Find a way to organize your work so you can keep track of the results.

Pick a whole number to start with. Divide it by another whole number and then by fractions and decimals greater than and less than 1. Then start with a decimal or a fraction and repeat this process.