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IM 8.7.2 Lesson: Multiplying Powers of Ten

Clare said she sees 100. Tyler says he sees 1. Mai says she sees . Who do you agree with?

In the diagram, the medium rectangle is made up of 10 small squares. The large square is made up of 10 medium rectangles.

Explain your reasoning.

Complete the table to explore patterns in the exponents when multiplying powers of 10. You may skip a single box in the table, but if you do, be prepared to explain why you skipped it.

If you chose to skip one entry in the table, which entry did you skip? Why?

Use your rule to write  with a single exponent.  What does this tell you about the value of ?

The state of Georgia has roughly  human residents. Each human has roughly  bacteria cells in his or her digestive tract. How many bacteria cells are there in the digestive tracts of all the humans in Georgia?

There are four ways to make by multiplying powers of 10 with smaller, positive exponents.

(This list is complete if you don't pay attention to the order you write them in. For example, we are only counting  and  once.) How many ways are there to make  by multiplying smaller powers of 10 together?

How about ?

 How about ?