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The Writing expressions with exponents word problems exercise appeared under the 6th grade (U.S.) Math Mission, but was removed by Khan Academy. This exercise uses word problems to encourage practice with translating expressions using exponents.

Types of Problems

There is one type of problem in this exercise:

  1. Write the expression: This problem has a word problem in which there is at least one need for an exponential expression. The student is expected to write a correct numerical expression representing the expression in the available space.
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    Write the expression

Strategies

This exercise is easy to get accuracy badges with knowledge of the basic vocabulary of arithmetic. The speed badges are easy because the numbers are reasonably small and there are good strategies to accomplish them quickly listed below.

  1. The numerical expression will be accepted in several forms, as long as they are numerically equivalent.
  2. A fast way to get solutions with smaller numbers is to use the numerical expression of the "answer."

Real-life Applications

  1. An kind of indirect example of using exponents is when one talks about extremely tiny or extremely big quantities. For example, the term "nanometer" means 10^{-9} meter. The prefix "nano" means the number 10^{-9}, which is an extremely small decimal number (0.000000001).

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