Thursday Review: Exponents and Scientific Notation

Presentation

•

Mathematics

•

8th Grade

•

Medium

•

CCSS

8.EE.A.1, 8.EE.A.4, 8.EE.A.3

Standards-aligned

Carla McAllister

Used 23+ times

FREE Resource

10 Slides • 27 Questions

Thursday Review: Exponents and Scientific Notation

Let's get ready for our quiz tomorrow!

Multiplying Powers

Shortcut: Add the exponents!

Multiple Choice

Simplify the following expression:

$8^3\times8^5$

$8^{15}$

$8^8$

$64^{15}$

$64^8$

Multiple Choice

Simplify the following expression:

$x^{10}\cdot x^{12}$

$x^{22}$

$x^{120}$

$x^2$

None of these.

Dividing Powers

Shortcut: Subtract the exponents!

Ask yourself: Is it top-heavy or bottom-heavy?

Multiple Choice

Simplify the following expression:

$\frac{5^7}{5^3}$

$5^4$

$\frac{1}{5^4}$

$5^{21}$

$5^{10}$

Multiple Choice

Simplify the following expression:

$\frac{x^{10}}{x^{13}}$

$\frac{1}{x^3}$

$x^3$

$x^{23}$

$x^{130}$

Powers of Powers

Shortcut: Multiply the exponents!

Multiple Choice

Simplify the following expression:

$\left(10^2\right)^6$

$10^{12}$

$10^8$

$10^{26}$

$10^3$

Multiple Choice

Simplify the following expression:

$\left(x^3\right)^5$

$x^8$

$x^{15}$

$x^{35}$

$x^{12}$

Negative Exponents

A negative exponent means it should be a bottom heavy fraction!

The exponent will be positive when it's in the bottom of the fraction.

Multiple Choice

Simplify the following expression:

$11^{-5}$

$\frac{1}{11^5}$

$-55$

$-\frac{1}{55}$

$\frac{1}{11^{-5}}$

Multiple Choice

Simplify the following expression:

$x^{-10}$

$\frac{1}{x^{10}}$

$-\frac{1}{10}$

$\frac{x}{10}$

$\frac{10}{x}$

Zero Exponents

Anything to the zero power will be equal to 1.

Everything has cancelled out and simplified to 1.

Multiple Choice

Simplify the following expression:

$\left(-20\right)^0$

$-20$

$-1$

$0$

$1$

Multiple Choice

Simplify the following expression:

$x^0$

$x$

$0$

$1$

$1x$

Let's put it all together!

Order of Operations:

1. Multiply parentheses

2. Move negative exponents to bottom

3. Add exponents.

4. Subtract exponents (top or bottom heavy???)

Multiple Choice

Simplify the following expression:

\frac{\left(x^5\right)^2}{x^7}

$x^0=1$

$x^3$

$\frac{1}{x^3}$

$x^{-3}$

Multiple Choice

Simplify the following expression:

\left(x^{-2}\right)^6

$x^{-12}=\frac{1}{x^{12}}$

$x^4$

$x^{-12}=-12x$

$x^{12}$

Multiple Choice

Simplify the following expression:

\frac{x^4\cdot x^{10}}{x^5}

$x^9$

$\frac{1}{x^9}$

$x^{35}$

$x^{11}$

Multiple Choice

Simplifying and evaluate the following expression:

\frac{3^5}{3^2\cdot3^6}

$\frac{1}{3^3}=\frac{1}{27}$

$\frac{1}{3^3}=\frac{1}{9}$

$\frac{1}{3^3}=27$

$\frac{1}{3^3}=9$

Multiple Choice

Simplify and evaluate the following expression: $\frac{10^4\cdot10^5}{\left(10^3\right)^3}$

$10^0=1$

$10^3=1000$

$10^2=100$

$10^{-1}=\frac{1}{10}$

Scientific Notation

The exponent tells you how many times to move the exponent.

Positive exponent: move the decimal to the right.

Negative exponent: move the decimal to the left.

Multiple Choice

Write the following in standard notation:

$5.23\times10^5$

52,300,000

523,000

0.0000523

0.0523

Multiple Choice

Write the following in standard notation:

$8.273\times10^{-4}$

0.0008273

0.00008273

0.008273

82,730

Multiple Choice

Write the following in scientific notation:

$7,100,000$

$7.1\times10^6$

$7.1\times10^5$

$7.1\times10^{-5}$

$7.1\times10^{-6}$

Multiple Choice

Write the following in scientific notation:

$0.0000031$

$3.1\times10^{-6}$

$3.1\times10^{-7}$

$3.1\times10^{-8}$

None of these.

Multiply and Divide Scientific Notation

Multiple Choice

Simplify the following expression:

$\left(1.2\times10^3\right)\left(3.3\times10^5\right)$

$3.96\times10^8$

$3.96\times10^{15}$

$4.5\times10^8$

$4.5\times10^{15}$

Multiple Choice

Simplify the following expression:

$\left(1.5\times10^{-3}\right)\left(5\times10^{-4}\right)$

$7.5\times10^{-7}$

$7.5\times10^1$

$6.5\times10^{-1}$

$6.5\times10^{-7}$

Multiple Choice

Simplify the following expression:

$\frac{7.2\times10^3}{4\times10^5}$

$1.8\times10^{-2}$

$1.8\times10^{-1}$

$1.8\times10^8$

$1.8\times10^{-8}$

Multiple Choice

Simplify the following expression:

$\frac{9\times10^{10}}{3\times10^7}$

$3\times10^3$

$6\times10^3$

$3\times10^{17}$

$27\times10^{17}$

Word Problems with Scientific Notation

1. Change both to standard form

2. Multiply or divide

3. Write in scientific notation

Multiple Choice

There are 1.2x10⁸ households in America. Each household uses 400 gallons of water each year. Determine how many total gallons of water American households use in a year.

What operation are you going to use?

Multiplication

Division

Multiple Choice

There are 1.2x10⁸ households in America. Each household uses 400 gallons of water each year. Determine how many total gallons of water American households use in a year.

$4.8\times10^8\ gallons$

$4.8\times10^9\ gallons$

$4.8\times10^{10}\ gallons$

$4.8\times10^7\ gallons$

Multiple Choice

The population of China is about 1.4x10⁹ people. Highlands has a population of 7,000 people. Determine how many times greater China's population is than Highlands.

What operation are you going to use?

Multiplication

Division

Multiple Choice

The population of China is about 1.4x10⁹ people. Highlands has a population of 7,000 people. Determine how many times greater China's population is than Highlands.

$2\times10^5\ times\ greater$

$2\times10^6\ times\ greater$

$2\times10^7\ times\ greater$

$2\times10^4\ times\ greater$

Thursday Review: Exponents and Scientific Notation

Let's get ready for our quiz tomorrow!

Show answer

Auto Play

Slide 1 / 37

SLIDE

Similar Resources on Wayground

32 questions

Simple Theoretical Probability Lesson

Presentation

•

7th Grade

32 questions

Simple Interest

Presentation

•

8th Grade

26 questions

Scatterplots Lesson and Quiz

Presentation

•

8th Grade

30 questions

Fracciones y potencias

Presentation

•

8th Grade

33 questions

Analyzing Functions and Graphs

Presentation

•

8th Grade

31 questions

ASAS MTK REMEDIAL

Presentation

•

8th Grade

31 questions

Classify Polynomials & Food Trivia

Presentation

•

8th - 9th Grade

32 questions

Equations with Square and Cube Roots

Presentation

•

8th Grade

Popular Resources on Wayground

24 questions

PBIS-HGMS Day 10

Quiz

•

6th - 8th Grade

10 questions

HCS SCI 03 Summer School Review 3

Quiz

•

3rd Grade

11 questions

Home Scope

Quiz

•

7th - 8th Grade

15 questions

HCS SCI 05 Summer School Assessment 3 Review

Quiz

•

5th Grade

35 questions

Lufkin Road Middle School Student Handbook & Policies Assessment

Quiz

•

7th Grade

18 questions

Geo 11.3 Area of Circles and Sectors

Quiz

•

9th - 11th Grade

Discover more resources for Mathematics

24 questions

PBIS-HGMS Day 10

Quiz

•

6th - 8th Grade

11 questions

Home Scope

Quiz

•

7th - 8th Grade