dividing scientific notation practice problems

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Scientific Notation Multiplication and Division

When it comes to these two operations, students often get intimidated by before even seeing a single demonstration of how to solve these types of problems. Once they do, they figure out it is a cinch. You treat the decimal part of the operation as would normally. The magic comes in when you concerned with the base ten section. When multiplying, you simply add the powers that are present. Division, being the counter operation to multiplication, you do the opposite and subtract them. That is all there is to it. It really just comes down to understanding the operation that is taking place. These worksheets show students how to find the outcome of quotients and products of values that are expressed in scientific notation.

Aligned Standard: 8.EE.A.4

• Multiplying Scientific Notation Step-by-Step Lesson - I love how you can just add the powers of ten. The first person to figure that out must have been floored.
• Guided Lesson - We add two quotients in here to get more practice in. Remember to pay attention to the exponents.
• Guided Lesson Explanation - Finding quotients is very similar to finding products when working with this form of notation.
• Practice Worksheet - When we multiply forms of scientific notation you get some interesting products in here.
• Matching Worksheet - The answers to these are not as obvious as you would think.
• Answer Keys - These are for all the unlocked materials above.

Homework Sheets

The top half of all the worksheets is filled with multiplication. The bottom portions of the sheets are where you will be processing division problems.

• Homework 1 - Separate the problem into its two components and then break the pieces into parts.
• Homework 2 - Writing the number in proper scientific form. You will practice with both operations in here.
• Homework 3 - Find the quotient of the powers of ten by subtracting. This is tricky at first.

Practice Worksheets

A good idea is to get in the habit of circling and rewriting the exponents immediately.

• Practice 1 - Separate the problem into its two components. a) Constants b) Powers of ten
• Practice 2 - A sample problem that you will be working with here: (1.17 × 10 3 ) (2.11 × 10 3 )
• Practice 3 - The important part is following the sections of the notation before you start to multiply or divide it.

Math Skill Quizzes

I used a larger font for the numbers that forces kids to rewrite the problem. This is a good thing!

• Quiz 1 - Rearrange the problem to put the constants and powers of ten together.
• Quiz 2 - We follow the same exact strategy we need to. See how you are doing with this skill.
• Quiz 3 - Complete all the problems to get them all headed in the right direction.

How to Multiply and Divide Values in Scientific Notation

Multiplying and dividing values with scientific notations is easier since the values have the same base 10 in them. Let us solve both of them separately with the help of examples.

Multiplication Example - (5.6 × 10 5 ) × (2.4 × 10 5 ).

Here we will first have to separate the decimal number and the base 10 number and multiply them.

(5.6 × 2.4) × (10 5 × 10 5 )

The exponential numbers have the same base (i.e., 10), so according to the multiplicative property, the powers are added. 10 5 × 10 5 = 10 10 . Now the decimal numbers will have a result of 13.44 (5.6 × 2.4).

The resulting value would be: (13.44 × 10 10 ).

Division Example - ((5.6 × 10 5 )/(4.3 × 10 4 )).

Here, similar to the multiplication operations, we can use an exponential property of division to divide the notation by subtracting the powers that are present: ((5.6 × 10 (5-4) ) / (4.3 ))

Now, you can divide the decimal numbers (5.6 / 4.3) to get an answer of 1.3, and the answer becomes:

1.3 × 10 1 = 13

When Would You Find Yourself Multiplying and Dividing Scientific Notation?

As the name implies, scientific notation is form of display numeric values that the science community gravitates towards. This is because they are constantly studying and researching things that are either very large or very small. Chemist will often use this number expression form to indicate the amount of a substance that they use to create a reaction. When they need to calculate how much of the substance is needed to be present in order for the reaction to take place, they will need to either multiply or divide those values that are stated in scientific notation. There is an example of using operations with scientific notation when the values are ridiculously small, and another example would be Microbiologists that study the effects of a drug on cells. They will often place the remnants of the drug on a plate with bacterial cells to see how they react to the drug. After some time, they will come back and evaluate the number of bacteria that survived the drug treatment. To determine the mortality rate of the drug they will often divide the surviving population by the starting population in scientific notation. Astronomers work with numbers that are in the opposite spectrum, they are really big numbers. They will often use these distances to measure the size of stars or solar systems. To determine the relative distances of solar systems between one another they will often multiply and divide their distances in scientific notation.

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How to Multiply and Divide in Scientific Notation? (+FREE Worksheet!)

This article teaches you how to Multiply and Divide Scientific Notations into a few simple steps.

Related Topics

• How to Round Decimals
• How to Multiply and Divide Decimals
• How to Add and Subtract Decimals
• How to Compare Decimals

Step by step guide to Multiply and Divide Scientific Notations

Multiplying numbers that are in the form of a scientific notation is relatively simple because multiplying by coefficients of ten is simple.

To multiply two numbers in scientific notation:

• Step 1: Multiply their coefficients which may be a decimal number or an integer.
• Step 2: Multiply the two exponential numbers (with a base of \(10\)) by adding their powers together.

To divide two numbers in scientific notation:

• Step 1: divide their coefficients which may be a decimal number or an integer.
•  Step 2: divide the two exponential numbers (with a base of \(10\)) by subtracting their powers from each other.

The answer must be converted to scientific notation.

Multiplication and Division in Scientific Notation – Example 1:

Write the answers in scientific notation. \((2.2\times 10^6) (4\times 10^{ \ -3})=\)

First, multiply the coefficients: \(2.2\times 4=8.8\)

Add the powers of \(10\): \(10^6\times 10^{ \ -3}=10^{6+(-3)}= 10^ {6-3}= 10^3\)

Then: \((2.2\times 10^6) (4\times 10^{ \ -3})=8.8\times 10^3\)

Multiplication and Division in Scientific Notation – Example 2:

Write the answers in scientific notation. \(\frac{7.5\times 10^9}{1.5\times 10^5}\)

First, divide the coefficients: \(\frac{7.5}{1.5}=5\)

Subtract the power of the exponent in the denominator from the exponent in the numerator: \(\frac{10^9}{10^5}=10^{9-5}=10^4\)

Then: \(\frac{7.5\times 10^9}{1.5\times 10^5}=5\times 10^4\)

Multiplication and Division in Scientific Notation – Example 3:

Write the answers in scientific notation. \((1.1\times 10^9) (9\times 10^{ \ -4})=\)

First, multiply the coefficients: \(1.1\times 9=9.9\)

Add the powers of \(10\): \(10^9\times 10^{ \ -4}=10^ { 9+(-4)}=10^ {9-4} = 10^5\)

Then: \((1.1\times 10^9) (9\times 10^{ \ -4})=9.9\times 10^5\)

Multiplication and Division in Scientific Notation – Example 4:

Write the answers in scientific notation. \(\frac{4.5\times 10^{-7}}{5\times 10^2}\)

First, divide the coefficients: \(\frac{4.5}{5}=0.9\)

Subtract the power of the exponent in the denominator from the exponent in the numerator: \(\frac{10^{-7}}{10^2}=10^{-7-2}=10^{-9}\)

Then: \(\frac{4.5\times 10^{-7}}{5\times 10^2}=0.9\times 10^{-9}\)

Now, convert the answer to scientific notation: \(0.9\times 10^{-9}=9\times 10^{-10}\)

Exercises for Multiplying and Dividing Scientific Notations

Write the answers in scientific notation. .

• \(\color{blue}{(4.2\times 10^6) (3\times 10^{ \ -9})=}\)
• \(\color{blue}{(5\times 10^8) (3.6\times 10^{ \ -6})=}\)
• \(\color{blue}{(4.9\times 10^7) (2\times 10^{ \ -5})=}\)
• \(\color{blue}{\frac{6.3\times 10^{-9}}{9\times 10^5}}\)
• \(\color{blue}{\frac{8.8\times 10^9}{4\times 10^2}}\)
• \(\color{blue}{\frac{9.6\times 10^{-5}}{3\times 10^4}}\)
• \(\color{blue}{1.26\times 10^{-2}}\)
• \(\color{blue}{1.8\times 10^3}\)
• \(\color{blue}{9.8\times 10^2}\)
• \(\color{blue}{7\times 10^{-15}}\)
• \(\color{blue}{2.2\times 10^7}\)
• \(\color{blue}{3.2\times 10^{-9}}\)

by: Effortless Math Team about 3 years ago (category: Articles , Free Math Worksheets )

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Module 1: Exponents and Radicals

Multiplying and dividing numbers in scientific notation, learning outcomes.

• Multiply numbers expressed in scientific notation
• Divide numbers expressed in scientific notation

Multiplying Numbers Expressed in Scientific Notation

Numbers that are written in scientific notation can be multiplied and divided rather simply by taking advantage of the properties of numbers and the rules of exponents that you may recall. To multiply numbers in scientific notation, first multiply the numbers that aren’t powers of 10 (the a in [latex]a\times10^{n}[/latex]). Then multiply the powers of ten by adding the exponents.

This will produce a new number times a different power of [latex]10[/latex]. All you have to do is check to make sure this new value is in scientific notation. If it isn’t, you convert it.

Let’s look at some examples.

[latex]\left(3\times10^{8}\right)\left(6.8\times10^{-13}\right)[/latex]

[latex]\left(3\times6.8\right)\left(10^{8}\times10^{-13}\right)[/latex]

Multiply the coefficients.

[latex]\left(20.4\right)\left(10^{8}\times10^{-13}\right)[/latex]

Multiply the powers of [latex]10[/latex] using the Product Rule. Add the exponents.

[latex]20.4\times10^{-5}[/latex]

Convert [latex]20.4[/latex] into scientific notation by moving the decimal point one place to the left and multiplying by [latex]10^{1}[/latex].

[latex]\left(2.04\times10^{1}\right)\times10^{-5}[/latex]

Group the powers of [latex]10[/latex] using the associative property of multiplication.

[latex]2.04\times\left(10^{1}\times10^{-5}\right)[/latex]

Multiply using the Product Rule—add the exponents.

[latex]2.04\times10^{1+\left(-5\right)}[/latex]

[latex]\left(3\times10^{8}\right)\left(6.8\times10^{-13}\right)=2.04\times10^{-4}[/latex]

[latex]\left(8.2\times10^{6}\right)\left(1.5\times10^{-3}\right)\left(1.9\times10^{-7}\right)[/latex]

[latex]\left(8.2\times1.5\times1.9\right)\left(10^{6}\times10^{-3}\times10^{-7}\right)[/latex]

Multiply the numbers.

[latex]\left(23.37\right)\left(10^{6}\times10^{-3}\times10^{-7}\right)[/latex]

Multiply the powers of [latex]10[/latex] using the Product Rule—add the exponents.

[latex]23.37\times10^{-4}[/latex]

Convert [latex]23.37[/latex] into scientific notation by moving the decimal point one place to the left and multiplying by [latex]10^{1}[/latex].

[latex]\left(2.337\times10^{1}\right)\times10^{-4}[/latex]

[latex]2.337\times\left(10^{1}\times10^{-4}\right)[/latex]

Multiply using the Product Rule and add the exponents.

[latex]2.337\times10^{1+\left(-4\right)}[/latex]

[latex]\left(8.2\times10^{6}\right)\left(1.5\times10^{-3}\right)\left(1.9\times10^{-7}\right)=2.337\times10^{-3}[/latex]

Multiply. Write answers in decimal form: [latex]\left(4\times {10}^{5}\right)\left(2\times {10}^{-7}\right)[/latex].

In the following video you will see an example of how to multiply tow numbers that are written in scientific notation.

Dividing Numbers Expressed in Scientific Notation

In order to divide numbers in scientific notation, you once again apply the properties of numbers and the rules of exponents. You begin by dividing the numbers that aren’t powers of [latex]10[/latex] (the a in [latex]a\times10^{n}[/latex]. Then you divide the powers of ten by subtracting the exponents.

This will produce a new number times a different power of 10. If it isn’t already in scientific notation, you convert it, and then you’re done.

[latex] \displaystyle \frac{2.829\times 1{{0}^{-9}}}{3.45\times 1{{0}^{-3}}}[/latex]

[latex] \displaystyle \left( \frac{2.829}{3.45} \right)\left( \frac{{{10}^{-9}}}{{{10}^{-3}}} \right)[/latex]

Divide the coefficients.

[latex] \displaystyle \left(0.82\right)\left( \frac{{{10}^{-9}}}{{{10}^{-3}}} \right)[/latex]

Divide the powers of [latex]10[/latex] using the Quotient Rule. Subtract the exponents.

[latex]\begin{array}{l}0.82\times10^{-9-\left(-3\right)}\\0.82\times10^{-6}\end{array}[/latex]

Convert [latex]0.82[/latex] into scientific notation by moving the decimal point one place to the right and multiplying by [latex]10^{-1}[/latex].

[latex]\left(8.2\times10^{-1}\right)\times10^{-6}[/latex]

Group the powers of [latex]10[/latex] together using the associative property.

[latex]8.2\times\left(10^{-1}\times10^{-6}\right)[/latex]

[latex]8.2\times10^{-1+\left(-6\right)}[/latex]

[latex] \displaystyle \frac{2.829\times {{10}^{-9}}}{3.45\times {{10}^{-3}}}=8.2\times {{10}^{-7}}[/latex]

[latex] \displaystyle \frac{\left(1.37\times10^{4}\right)\left(9.85\times10^{6}\right)}{5.0\times10^{12}}[/latex]

[latex] \displaystyle \frac{\left( 1.37\times 9.85 \right)\left( {{10}^{6}}\times {{10}^{4}} \right)}{5.0\times {{10}^{12}}}[/latex]

[latex] \displaystyle \frac{13.4945\times {{10}^{10}}}{5.0\times {{10}^{12}}}[/latex]

Regroup using the associative property.

[latex] \displaystyle \left( \frac{13.4945}{5.0} \right)\left( \frac{{{10}^{10}}}{{{10}^{12}}} \right)[/latex]

Divide the numbers.

[latex] \displaystyle \left(2.6989\right)\left(\frac{10^{10}}{10^{12}}\right)[/latex]

Divide the powers of [latex]10[/latex] using the Quotient Rule—subtract the exponents.

[latex] \displaystyle \begin{array}{c}\left(2.6989 \right)\left( {{10}^{10-12}} \right)\\2.6989\times {{10}^{-2}}\end{array}[/latex]

[latex] \displaystyle \frac{\left( 1.37\times {{10}^{4}} \right)\left( 9.85\times {{10}^{6}} \right)}{5.0\times {{10}^{12}}}=2.6989\times {{10}^{-2}}[/latex]

Divide. Write answers in decimal form: [latex]{\Large\frac{9\times {10}^{3}}{3\times {10}^{-2}}}[/latex].

Notice that when you divide exponential terms, you subtract the exponent in the denominator from the exponent in the numerator. You will see another example of dividing numbers written in scientific notation in the following video.

The following video is a mini-lesson on how to convert decimals to scientific notation, and back to a decimal. Additionally, you will see more examples of how to multiply and divide numbers given in scientific notation.

Contribute!

Improve this page Learn More

• Revision and Adaptation. Provided by : Lumen Learning. License : CC BY: Attribution
• Unit 11: Exponents and Polynomials, from Developmental Math: An Open Program. Provided by : Monterey Institute of Technology and Education. Located at : http://nrocnetwork.org/resources/downloads/nroc-math-open-textbook-units-1-12-pdf-and-word-formats/ . License : CC BY: Attribution
• Examples: Dividing Numbers Written in Scientific Notation. Authored by : James Sousa (Mathispower4u.com) for Lumen Learning. Located at : https://youtu.be/RlZck2W5pO4 . License : CC BY: Attribution
• Examples: Multiplying Numbers Written in Scientific Notation. Authored by : James Sousa (Mathispower4u.com) for Lumen Learning. Located at : https://youtu.be/5ZAY4OCkp7U . License : CC BY: Attribution

How to Multiply & Divide in Scientific Notation - Quiz & Worksheet

• Quiz & Worksheet - Multiplying & Dividing in Scientific Notation Quiz

Choose an answer and hit 'next'. You will receive your score and answers at the end.

Which is the digit term in 5.6 x 10^-15?

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1. which is the exponent term in 4.29 x 10^17, 2. what is the result of (3.4 x 10^15) x (2.1 x 10^4).

5.5 x 10^60

5.5 x 10^19

7.14 x 10^60

7.14 x 10^19

About This Quiz & Worksheet

Scientific notation is a shorthand way to write small or large numbers and is often used in science and mathematics. This quiz and worksheet will help guide your understanding of how to multiply and divide numbers in scientific notation, and questions will ask about format and mathematical operations.

Quiz & Worksheet Goals

This quiz will test you on:

• Exponent term
• Multiplying in scientific notation
• Dividing in scientific notation

Skills Practiced

Students will test the following skills in this quiz and worksheet combo:

• Reading comprehension - ensure that you draw the most important information from the related lesson about scientific notation
• Distinguishing differences - compare and contrast topics from the lesson, such as exponent term and digit term
• Problem solving - use acquired knowledge to solve practice problems involving multiplication and division
• Knowledge application - use your knowledge to answer questions about the format of scientific notation and how to perform mathematical operations using it

Additional Learning

For additional learning about how to multiply or divide numbers in scientific notation, look over the accompanying less entitled How to Multiply & Divide in Scientific Notation. Objectives covered by the lesson include:

• Define scientific notation
• Identify components of scientific notation, such as the exponent and digit terms
• Learn how to multiply and divide using numbers in scientific notation
• Solve practice problems using information from the lesson

34 chapters | 191 quizzes

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How to Divide Scientific Notation

Last Updated: October 25, 2022 Fact Checked

This article was co-authored by Jake Adams and by wikiHow staff writer, Hannah Madden . Jake Adams is an academic tutor and the owner of Simplifi EDU, a Santa Monica, California based online tutoring business offering learning resources and online tutors for academic subjects K-College, SAT & ACT prep, and college admissions applications. With over 14 years of professional tutoring experience, Jake is dedicated to providing his clients the very best online tutoring experience and access to a network of excellent undergraduate and graduate-level tutors from top colleges all over the nation. Jake holds a BS in International Business and Marketing from Pepperdine University. This article has been fact-checked, ensuring the accuracy of any cited facts and confirming the authority of its sources. This article has been viewed 16,057 times.

When you’re learning about scientific notation, you’ll probably come across a division question sooner or later. Fortunately, since numbers with the same base can be divided easily, dividing scientific notation only takes a few extra steps. In this article, we’ll walk you through dividing scientific notation and give you some helpful examples along the way.

Things You Should Know

• Divide the whole numbers, then use the rule of exponents to divide the bases.
• If the new coefficient is a whole number, multiply the number by the new power of 10 to get your solution.
• If the new coefficient is not a whole number, convert it to scientific notation before multiplying it by the new power of 10.

Divide the coefficients.

Divide the bases.

Multiply whole numbers by the new power of 10.

Convert the coefficient to scientific notation if needed.

Expert Q&A

You might also like.

• ↑ https://janus.astro.umd.edu/astro/scinote/help.html
• ↑ https://www.edinformatics.com/math_science/division-in-scientific-notation.html
• ↑ https://flexbooks.ck12.org/cbook/ck-12-interactive-middle-school-math-8-for-ccss/section/9.8/primary/lesson/multiplying-dividing-numbers-in-scientific-notation-msm8-ccss/

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Multiplication and Division with Scientific Notation Worksheets

• Pre-Algebra >
• Scientific Notation >
• Multiplication and Division

Ferret out the practice in our free, printable multiplication and division with scientific notation worksheets, and flaunt your flair for very big or very small numbers. Draw on your dexterity in simplifying and deciphering small or large numerals in convenient forms, while diligently applying the principles of multiplication and division.

Our multiplication and division with scientific notation worksheet pdfs are perfect for 8th grade students.

Multiply and Divide Numbers with Positive Powers in Scientific Notation

These printable worksheets will take math enthusiasts of grade 8 on a trip through multiplication and division of scientific notation with positive powers.

Multiplying and Dividing Numbers in Scientific Notation

Stay a step ahead of your 8th grade peers with these pdf worksheets on multiplying and dividing numbers in scientific notation, that feature both positive and negative powers.

Multiplying and Dividing Decimals in Scientific Notation

Lock in great practice of scientific notation calculations on decimals using our printable multiplication and division with scientific notation worksheets.

Operations with Scientific Notation Worksheets | Mixed Review

Race to the finish line with these pdf worksheets containing problems on scientific notation where children practice all four basic mathematical operations.

Related Printable Worksheets

▶ Addition and Subtraction with Scientific Notation

▶ Scientific Notation of Large Numbers

▶ Scientific Notation of Small Numbers

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• Dividing Numbers in Scientific Notation – Technique & Examples

Dividing Numbers in Scientific Notation – Methods & Examples

This type of notation is easier and more concise to express quantities that are too big or small. For example, the number 125,000,000,000 can be represented as 1.25 x 10 11 .

How to Divide Scientific Notation?

This article illustrates how you can perform division of numbers expressed in scientific notation.

To divide two numbers written in scientific notation, follow the steps below:

• Separately divide the coefficients and exponents.
• For the division of bases, use the division rule of exponents, where the exponents are subtracted.
• Combine the result of coefficients by the new power of 10.
• If the quotient from division of coefficients is not less than 10 and greater than 1, convert it to scientific notation and multiply it by the new power of 10.
• Note that when you dividing exponential terms, always subtract the denominator from the numerator.

Let us take a look at a few examples to help you understand the above procedures better.

Divide and express the answer in scientific notation: 9 x 10 8 / 3 x 10 5 .

Explanation

• Start by dividing the coefficients: (9 ÷ 3) = 3
• Now, divide the bases using the division rule of exponents: (10 8 ÷ 10 5 ) = 10 8 – 5 =10 3
• The coefficient is less than 10 and greater than 1, therefore multiply it by the new power of 10.

(2.8 x 10 10 ) / (2 x 10 20 )

Divide the coefficients and bases separately:

= (2.8/2) x (10 10 /10 20 )

= 1.4 x 10 10- 20

= 1.4 x 10 -10

(6.4 x 10 6 )/ (8.9 x 10 2 )

Divide the coefficients and powers of 10 separately;

= (6.4)/ (8.9) x 10 (6-2)

= 0.719 x 10 4 The new coefficient is less than 1, therefore convert the number to scientific notation and multiply by the power of 10.

= 7.19 x 10 3

(3.2 x 10 3 )/ (5.7 x 10 – 2 )

Divide the coefficients and bases separately

= (3.2)/ (5.7) x 10 3 – ( – 2)

= 0.561 x 10 5

The coefficient is less than 1, therefore convert the number to scientific notation by moving the decimal point one step to the right.

= 5.61 x 10 4

(2 x 10  3 ) / (4 x 10 -8 )

= (2/4) x (10 3 /10 -8 )

= 0.5 x 10 3 – (-8)

= 0.5 x 10 11

Since the new coefficient is less than 1; convert it to scientific notation:

= 0.5 = 5 x 10 -1

Now multiply the coefficient by the new power of 10;

= (5 x 10 -1 ) x (10 11 )

= 5 x 10 10

Evaluate and express your answer in scientific notation:

(2.688 x 10 6 ) / (1.2 x 10 2 )

= (2.688 / 1.2) x (10 6  / 10 2 )

= (2.24) x (10 6-2 )

= 2.24 x 10 4

Practice Questions

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Multiplying & Dividing in Scientific Not...

Mathematics.

Multiplying & Dividing in Scientific Notation Practice

24 questions

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• 1. Multiple Choice Edit 45 seconds 1 pt When dividing numbers in scientific notation, what do you do to the exponents? For example: (4×10⁵) ∕ (3×10²) Add them Subtract them Keep them the same Divide them
• 2. Multiple Choice Edit 45 seconds 1 pt In what types of problems do you have to make sure the exponents are the same before beginning to compute? Adding and Subtracting Multiplying and Dividing Subtracting and Dividing Adding and Multiplying
• 3. Multiple Choice Edit 45 seconds 1 pt When multiplying numbers in scientific notation, what do you do to the leading numbers? For example: (4×10⁵)(3×10⁻²) Keep them the same Divide them Add them Multiply them
• 4. Multiple Choice Edit 2 minutes 1 pt Evaluate. Leave your answer in scientific notation.  (3.4×10⁴)(2×10⁴) 6.8×10⁴ 5.4×10⁴ 6.8×10⁸ 5.4×10⁸
• 5. Multiple Choice Edit 2 minutes 1 pt Evaluate. Leave your answer in scientific notation.  (9.6×10⁸)  ⁄  (3×10⁴) (hint - it's division...) 6.6×10² 3.2×10¹² 3.2×10⁴ 6.6×10⁴
• 6. Multiple Choice Edit 2 minutes 1 pt Order from least to greatest... a) 4.5×10⁻³ b) 0.000045 c) 3.1×10⁻³   d) -45           D , B , C,  A B , C , D , A C , A , D , B A , C , D , B
• 7. Multiple Choice Edit 1 minute 1 pt Which inequality sign should be placed between these numbers to make it a true/correct statement? 7.6×10⁴      ?       0.00076 < > =
• 8. Multiple Choice Edit 1 minute 1 pt Determine the missing value. (5.4×10 ? )(3.2×10³) = 17.28×10 15 12 8 18 5
• 10. Multiple Choice Edit 2 minutes 1 pt Multiply: (9.4 x 10 6 )(3.2 x 10 5 ) 30.08 x 10 11 3.8 x 10 1 3.008 x 10 12 2.9375 x 10 1
• 11. Multiple Choice Edit 3 minutes 1 pt (9.6×10 3 ) × (6.7×10 2 ) 64.32×10 5 6.432×10 6 64.32×10 6 64.32×10 5
• 12. Multiple Choice Edit 2 minutes 1 pt Solve: (6 x 10 6 ) / (2 x 10 3 ) 12 x 10 3 3 x 10 9 1.2 x 10 4 3 x 10 3
• 13. Multiple Choice Edit 5 minutes 1 pt (2 x 10 9 )(4 x 10 -4 ) 8 x 10 13 8 x 10 36 8 x 10 5 8 x 10 -36
• 14. Multiple Choice Edit 5 minutes 1 pt (5 x 10 6 )(5 x 10 7 ) 2.5 x 10 12 2.5 x 10 14 25 x 10 12 25 x 10 13

(20 x 10 50 ) / (4 x 10 15 )

2.4 x 10 51

Write 7.113 x 10 7 in standard form.

0.0000007113

• 17. Multiple Choice Edit 45 seconds 1 pt Write 0.00000707 in scientific notation. 7.07 x 10 -6 7.07 x 10 6 707 x 10 8 707 x 10 -8
• 18. Multiple Choice Edit 30 seconds 1 pt Write 7.8 x 10 -3   in standard form. 0.0078 7,800 78 0.078
• 19. Multiple Choice Edit 30 seconds 1 pt Write 2.08 x 10 2   in standard form. 208 0.0208 20,800 0.208
• 20. Multiple Choice Edit 30 seconds 1 pt UNDERSTANDING If the exponent is a negative number... you will get a large number you will get a small number
• 21. Multiple Choice Edit 30 seconds 1 pt UNDERSTANDING: The first number in scientific notation must be... between and including 0 and 10 between and including 1 and 9.9999 between and including 0 and 9.999 between and including 1 and 10 
• 22. Multiple Choice Edit 45 seconds 1 pt Which of the following is correct scientific notation? 20.35 x 10 4 .2035 x 10 4 2035 4 2.035 x10 4
• 23. Multiple Choice Edit 30 seconds 1 pt Which is the smallest? 1.3 x 10 20 2.9 x 10 21 9.5 x 10 32 8.4 x 10 19 1.3 x 10 20 2.9 x 10 21 9.5 x 10 32 8.4 x 10 19
• 24. Multiple Choice Edit 2 minutes 1 pt ANY number raised to a power of 0 will be.... 10 itself 1 0

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Multiply And Divide In Scientific Notation (Word Problems) Problems

# 1 of 8 : mild.

Multiply and divide in scientific notation (word problems)

# 2 of 8 : Medium

# 3 of 8 : medium, # 4 of 8 : medium, # 5 of 8 : medium, # 6 of 8 : spicy, # 7 of 8 : spicy, # 8 of 8 : spicy.

Scientific notations are used when there is an involvement of very large numbers or very small numbers. Scientific notations are also known as the standard form. All the numbers that are represented in this form have the base of 10. Normally, scientific notations are used by scientists and physicists who perform calculations that involve very large or very small numbers. For example, the weight of the Sun is generally written in scientific notation.

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Course: 8th grade   >   Unit 1

• Multiplying & dividing in scientific notation
• Multiplying three numbers in scientific notation
• Subtracting in scientific notation

Adding & subtracting in scientific notation

• Simplifying in scientific notation challenge

Multiplying Scientific Notation — Examples & Practice - Expii