Describe Relationship Between Expressions with Fractions and Decimals

This lesson explains how to describe relationships between expressions with fractions or decimals using multiplication and division. It addresses common misunderstandings, such as the belief that multiplication always results in a larger number and division always results in a smaller number. Through examples, it demonstrates that multiplying by a fraction can yield a smaller result, while dividing by a fraction can yield a larger result. The lesson also covers comparing expressions without actual calculation by understanding the effects of multiplying or dividing by fractions.

What conclusion can be drawn about dividing by a number less than one?

How can we compare the expressions 7 + 1 and 1/2 * 7 + 1 without calculating them?