3, Lesson 11, Unit 7, Grade 8, OpenUp icon
Instructional Activity

Comparing Small Numbers on a Number Line

Lesson 11. Unit 7. Grade 8 Open Up Resources

Open Up Resources10 min(s)

This Instructional Activity is a part of the Lesson 11, Unit 7, Grade 8. This task is analogous to a previous activity with positive exponents. The number line strongly encourages students to think about how to change expressions so they all take the form b × 10^k, where b is between 1 and 10, as in the case of scientific notation. The number line also is a useful representation to show that, for example, 29 × 10^(-7) is about half as much as 6 × 10^(-6). The last two questions take such a comparison a step further, asking students to estimate relative sizes using numbers expressed with powers of 10.

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