2. Exponents & Scientific Notation

Investigation: Patterns in powers of 10

2.01 Scientific notation

2.02 Compare and order numbers in scientific notation

2.03 Product of powers property

2.04 Power of a power property

2.05 Power of a product property

2.06 Division property of exponents

2.07 Power of a division and zero exponent properties

2.08 Multiplication properties with negative exponents

2.09 Division properties with negative exponents

2.10 Combine laws to simplify expressions

2.11 The laws of exponents and scientific notation

Topic Review: Exponents and scientific notation

United States of America

Grade 8

Topic Review: Exponents and scientific notation

Adaptive

Worksheet

Interactive practice questions

Which of the following is written in scientific notation?

$0.959\cdot10^5$0.959·105

A

$309.59\cdot10^{16}$309.59·1016

B

$9.59\cdot10^{16}$9.59·1016

C

Easy

< 1min

Consider the number $1600000$1600000.

Easy

1min

The thickness of coating on a camera lens is $0.000002$0.000002 meters. Express the thickness in scientific notation.

Medium

< 1min

Select the $smallest$ number from the options below.

Easy

< 1min

Outcomes

8.EE.A.1

Know and apply the properties of integer exponents to generate equivalent numerical expressions.

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.

8.EE.A.4

Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g. Use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology

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