Unit 7, Lesson 8
Representing Large Numbers on the Number Line
Accelerated 7
Preparation
Lesson Narrative
In this lesson, students use base-ten diagrams to represent different powers of 10 and express very large and very small numbers using exponents. They use number lines to visualize powers of 10, compare very large numbers, and make sense of orders of magnitude (MP2). They use the structure of a number line that is subdivided into 10 equal intervals to express large numbers as multiples of a power of 10 (MP7).
In these materials, “multiple of a power of 10” does not necessarily mean an integer multiple of a power of 10. Students explore numbers of the form , where is some decimal number. When students are formally introduced to scientific notation, is restricted to values between 1 and 10.
- Compare large numbers using powers of 10, and explain (orally) the solution method.
- Use number lines to represent (orally and in writing) large numbers as multiples of powers of 10.
Let’s visualize large numbers on the number line using powers of 10.
Required Preparation
None