Unit 7, Lesson 13

Definition of Scientific Notation

Grade 8

Practice

Problem 1

Write each number in scientific notation.

14,700
0.00083
760,000,000
0.038
0.38
3.8
3,800,000,000,000
0.0000000009

Problem 2

Elena is going to write the number 0.0000025 in scientific notation. She writes “” but isn’t sure what to write for the exponent. Explain how Elena can decide which power of 10 to use.

Problem 3

The following numbers are all written in scientific notation. Write the value of each expression.

Problem 4

ForLesson 12: Systems of Equations

Here is the graph for one equation in a system of equations.

Coordinate plane, x, negative 6 to 6 by 1, y, negative 5 to 5 by 1. A line through negative 2 comma negative 6, 0 comma negative 3, 2 comma 0, 4 comma 3.

Write a second equation for the system so it has infinitely many solutions.
Write a second equation whose graph goes through so that the system has no solutions.
Write a second equation whose graph goes through so that the system has one solution at .

Problem 5

ForLesson 6: What about Other Bases?

Write each expression using a single exponent:

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