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Give students 1–2 minutes of quiet work time followed by a brief whole-class discussion.
What is the volume of a giant cube that measures 10,000 km on each side? Be prepared to explain your reasoning.
The purpose of this discussion is to introduce the idea that which is equal to before this pattern is generalized in a following activity.
Invite previously identified students to share their strategies for computing the volume. If not brought up in students’ explanations, show students the strategy of re-writing 10,000 as a power of 10 and raising to the power of 3. Ask students what patterns they notice between and . If students mention the strategy of counting zeros to multiply powers of 10, emphasize that the exponent describes the number of factors that are multiplied together and not necessarily the number of zeros.