Unit 7 - Lesson 2 - Grade 8: Illustrative Mathematics

Who do you agree with?

If each small square represents 102, then what does the medium rectangle represent? The large square?

If the medium rectangle represents 105, then what does the large square represent? The small square?

If the large square represents 10100, then what does the medium rectangle represent? The small square?

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 104 · 100 with a single exponent. What does this tell you about the value of 100?