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Learning Goal

‹3 of 4 in this cluster›

Use numbers expressed in scientific notation to estimate very large or very small quantities

Start lessonBegins with Scientific notation definition estimation · Slides

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Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework

8.EE.A.3

**8.EE.A.3**: Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other. *For example, estimate the population of the United States as 3 x 10^8 and the population of the world as 7 x 10^9, and determine that the world population is more than 20 times larger.*

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8.EE.A.3: Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other. For example, estimate the population of the United States as 3 x 10^8 and the population of the world as 7 x 10^9, and determine that the world population is more than 20 times larger.

What you'll learn

  1. Express very large and very small numbers in scientific notation of the form a x 10^n, where 1 <= a < 10 and n is an integer
  2. Convert fluently between standard form and scientific notation for numbers spanning magnitudes from 10^-9 to 10^12
  3. Estimate real-world quantities by rounding to a single digit times an integer power of 10 (e.g., the population of the United States as 3 x 10^8)
  4. Determine how many times as much one quantity is than another by dividing two numbers expressed in scientific notation and interpreting the result
  5. Apply scientific notation estimation and comparison to solve real-world problems involving populations, distances, sizes, and other quantities that span extreme scales

Slides

Step through the lesson, or watch it as a narrated video • 2 slide decks

1

Scientific notation definition estimation

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2

Scientific notation comparing quantities

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Practice

Try it on your own • 4 practice sets

3

Drill

Quick practice to build speed

4

Drill

Quick practice to build speed

5

Drill

Quick practice to build speed

6

Exercise

Practice problems, checked as you go

Animated Videos

Short animated explanations of the key idea • 3 animated videos

Scientific Notation: Reading and Writing a × 10^n

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Order-of-Magnitude Estimates: One Digit Times a Power of Ten

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How Many Times as Much? Comparing with Powers of Ten

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