lesson 5 homework practice compute with scientific notation

If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

To log in and use all the features of Khan Academy, please enable JavaScript in your browser.

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

Worksheet and Answer Key

• Scientific Notation
• Operations with Scientific Notation

Ultimate Math Solver (Free) Free Algebra Solver ... type anything in there!

Popular pages @ mathwarehouse.com.

• McDowell Early Learning
• Ellsworth Hill Elementary
• East Woods Intermediate
• Hudson Middle School
• Hudson High School
• Master Facility Plan

Dedicated To Excellence In Education

Ozello, Lisa

Page navigation.

• Study Strategies Expectations
• Algebra Goals
• Algebra I Syllabus
• CPM Algebra Tiles
• CPM Parent Guide
• Four Quadrant Graph Paper
• Four Quadrant Graphs 2 per page

Chapter 1 - Lesson 7 Compute with Scientific Notation

Description.

You're online. We're online. Let's connect.

• Questions or Feedback? |
• Web Community Manager Privacy Policy (Updated) |

• Kindergarten
• Greater Than Less Than
• Measurement
• Multiplication
• Place Value
• Subtraction
• Punctuation
• 1st Grade Reading
• 2nd Grade Reading
• 3rd Grade Reading
• Cursive Writing
• Alphabet Coloring
• Animals Coloring
• Birthday Coloring
• Boys Coloring
• Buildings Coloring
• Cartoons Coloring
• Christmas Coloring
• Country Flag Coloring
• Country Map Coloring
• Disney Coloring
• Fantasy Coloring
• Food Coloring
• Girls Coloring
• Holidays Coloring
• Music Coloring
• Nature Coloring
• New Year Coloring
• People Coloring
• Religious Coloring
• Sports Coloring
• Toys Coloring
• Transportation Coloring
• US Sports Team Coloring
• Valentine Day Coloring

Compute With Scientific Notation Homework Practice

Displaying top 8 worksheets found for - Compute With Scientific Notation Homework Practice .

Some of the worksheets for this concept are Main idea compute with scientific notation, Operations scientific notation, Scientific notation date period, Name date period lesson 7 skills practice, What fun its practice with scientific notation, Not in book, Chapter 6 resource masters, Scientific notation number and number sense 7.

Found worksheet you are looking for? To download/print, click on pop-out icon or print icon to worksheet to print or download. Worksheet will open in a new window. You can & download or print using the browser document reader options.

1. Main Idea Compute with Scientific Notation

2. operations scientific notation, 3. scientific notation date period, 4. name date period lesson 7 skills practice, 5. what fun it's practice with scientific notation, 6. (not in book), 7. chapter 6 resource masters, 8. scientific notation; number and number sense; 7.1b; 7.

• Notifications 0

• Add Friend ($5)

As a registered member you can:

• View all solutions for free
• Request more in-depth explanations for free
• Ask our tutors any math-related question for free
• Email your homework to your parent or tutor for free
• Grade 8 McGraw Hill Glencoe - Answer Keys

Yes, email page to my online tutor. ( if you didn't add a tutor yet, you can add one here )

Thank you for doing your homework!

Submit Your Question

• Texas Go Math
• Big Ideas Math
• Engageny Math
• McGraw Hill My Math
• enVision Math
• 180 Days of Math
• Math in Focus Answer Key
• Math Expressions Answer Key
• Privacy Policy

Into Math Grade 8 Module 12 Lesson 3 Answer Key Compute with Scientific Notation

We included  HMH Into Math Grade 8 Answer Key  PDF   Module 12 Lesson 3 Compute with Scientific Notation to make students experts in learning maths.

HMH Into Math Grade 8 Module 12 Lesson 3 Answer Key Compute with Scientific Notation

I Can compute with scientific notation, choose appropriate units for real-world quantities, and convert values in scientific notation from one unit to another.

Step It Out

B. What was the total number of visitors to Great Smoky Mountains National Park and Grand Canyon National Park?

Since the numbers are written with different powers of 10, we need to rewrite one number so they have the same power of 10. To do this, multiply the first factor by 10 and divide the power of 10 by 10. 1.13 × 10 7 = (1.13 × 10) × (10 7 ÷ 10) = _________ × ___________ Now add the first factors: ___________ + __________ = ____________ Express the sum with the same power of 10: ___________ × 10 6 . To write your answer in scientific notation, determine how to write the first factor as a number between 1 and 10. In this case, divide 17.27 by 10. To keep the value the same, multiply 10 6 by 10 to get 10 7 . __________ × 10 6 = __________ × 10 7 Answer: Since the numbers are written with different powers of 10, we need to rewrite one number so they have the same power of 10. To do this, multiply the first factor by 10 and divide the power of 10 by 10. 1.13 × 10 7 = (1.13 × 10) × (10 7 ÷ 10) = 11.3 × 10 7 Now add the first factors: 11.3 + 5.97 = 17.27 Express the sum with the same power of 10: 17.27 × 10 6 . To write your answer in scientific notation, determine how to write the first factor as a number between 1 and 10. In this case, divide 17.27 by 10. To keep the value the same, multiply 10 6 by 10 to get 10 7 . 17.27 × 10 6 = 1727 × 10 7

Turn and Talk How could you solve the problem in Part B by rewriting the quantity for the Grand Canyon rather than the Great Smoky Mountains? Answer:

B. Multiply to find the total amount of growth for the stalactite in 500 years. When you multiply or divide in scientific notation, multiply or divide the first factors by each other and multiply or divide the powers of 10 by each other. (3.3 × 10 -4 ) × (_________ × __________) = (3.3 × __________) × (10 -4 × __________) = ____________ × ____________ Answer: When you multiply or divide in scientific notation, multiply or divide the first factors by each other and multiply or divide the powers of 10. (3.3 × 10 -4 ) × (5 x 10²) = (3.3 × 5) × (10 -4 × 10²) The total amount of growth for the stalactite in 500 years. = 16.5 × 10 -2

The approximate growth for the stalactite in 500 years. = 16.5 × 10 -2 16.5 × 10 -2 in scientific notation is 1.65 × 10 -1 16.5 × 10 -2 in standard form is 0.165.

D. In Part B, which property of multiplication allows you to change the order of the factors, and which property allows you to regroup the factors so that you can multiply the first factors together and multiply the powers of 10 together? Answer: You can use the Distributive Property of multiplication to change the order of the factors and regroup the factors. So, you can multiply the first factors together and then multiply the powers of 10 together.

E. In Part B, what property of exponents makes it easy to multiply the powers of 10? Explain. Answer: The property of exponents makes it easy to multiply the powers of 10 is multiplying the two exponents when the bases are equal then the powers sound be added.

Turn and Talk In Part C, what unit of measure would be more appropriate to express the amount of growth than feet? Express the amount of growth using the measure you named.

C. You found the total area of the three national parks in square meters. Square kilometers is a more appropriate unit for a large area.

There are 1000 or 10 3 meters in 1 kilometer. So, there are 10 3 × 10 3 = 10 6 square meters in 1 square kilometer. Divide your result from Part B by 10 6 to express the total area in square kilometers. ____________ × ____________ ÷ 10 6 = ____________ × ___________ The total area of the national parks is __________ × ____________ square kilometers. Answer: There are 1000 or 103 meters in 1 kilometer. So, there are 103 × 103 = 106 square meters in 1 square kilometer. Divide your result from Part B by 106 to express the total area in square kilometers. 1.16 x 10 29 ÷ 10 6 = 1.16 x 10 23 The total area of the national parks is 1.16 x 10 23 square kilometers.

Turn and Talk How would you convert from square kilometers to square meters? Answer: To convert from square kilometers to square meters. Multiply the area by the conversion ratio and the area in the square meters is equal to the square kilometers multiplied by 1,000,000.

Check Understanding

Question 1. One library has 4.1 × 10 5 books. A second library has 6,200,000 books. Find the total number of books at the two libraries using scientific notation. Answer: Given that, The total number of books in the first library is 4.1 × 10 5 books. The total number of books in the second library is 6,200,000 books = 6.2 x 10 6 The total number of books = (4.1 × 10 5 ) + (6.2 x 10 6 ) = 10.3 x 10 11 10.3 x 10 11 in scientific notation is 1.03 x 10 12

Add or subtract. Express your answer in scientific notation.

Question 2. (5.7 × 10 8 ) + (3.2 × 10 6 ) Answer: Given that, (5.7 × 10 8 ) + (3.2 × 10 6 ) Here the bases are equal then the powers should be added. = (5.7 + 3.2) x (10 8 + 10 6 ) = 8.9 x (10 8+6 ) = 8.9 x 10 14 8.9 x 10 14 in scientific notation is 0.89 x 10 15

Question 3. (1.3 × 10 -4 ) – (7.5 × 10 -5 ) Answer: Given that, (1.3 × 10 -4 ) – (7.5 × 10 -5 ) Change 10 -5 to 10 -4 Move the decimal on 7.5 to the left by one place than 7.5 = 0.75 = (1.3 – 0.75) x 10 -4 = 0.55 x 10 -4 0.55 x 10 -4 in scientific notation is 5.5 x 10 -5

Multiply or divide. Express your answer in scientific notation.

Question 4. (2.8 × 10 7 ) × ( 3.5 × 10 -3 ) Answer: Given that, (2.8 × 10 7 ) × (3.5 × 10 -3 ) Multiply the coefficients and powers of ten separately then combine and add exponents in multiplication. = (2.8 x 3.5) x (10 7 × 10 -3 ) = 9.8 x (10 7+(-3) ) = 9.8 x (10 4 ) 9.8 x (10 4 ) in scientific notation is 9.8 x 10 4

Question 5. (7.2 × 10 12 ) ÷ (3 × 10 5 ) Answer: Given that, (7.2 × 10 12 ) ÷ (3 × 10 5 ) Divide the coefficients and powers of ten separately then combine and subtract exponents in the division. = (7.2/3) x (10 12 )/ (10 5 ) = 2.4 x 10 12-5 = 2.4 x 10 7 =   2.4 x 10 7 in scientific notation is 2.4 x 10 7

On Your Own

Question 6. Find the total average number of vehicles per day crossing the bridges. Answer: Given that, The total number of vehicles crossing the Golden gate bridge per day = 112,000. The total number of vehicles crossing the San Francisco- Oakland Bay Bridge = 2.7 x 10 7 112,000 = 1.12 x 10 2 The total average number of vehicles per day crossing the bridges = (1.12 x 10 2 ) + (2.7 x 10 7 ) = (1.12 + 2.7) x (10 2 x 10 7 ) = 3.82 x 10 9 = 3.82 x 10 9 in scientific notation is 3.82 x 10 9

Question 7. How many more vehicles cross the San Francisco-Oakland Bay Bridge each day than the Golden Gate Bridge, on average? Answer: Given that, The total number of vehicles crossing the Golden gate bridge per day = 112,000. The total number of vehicles crossing the San Francisco- Oakland Bay Bridge = 2.7 x 10 7 112,000 = 1.12 x 10 2 The vehicles cross the San Francisco-Oakland Bay Bridge each day than the Golden Gate Bridge = (2.7 x 10 7 ) – (1.12 x 10 2 ) 2.7 x 10 7 in standard form is 27,000,000 1.12 x 10 2 in standard form is 112 Therefore 27,000,000 – 112 = 26,999,888 26,999,888 in the scientific notation is 2.6,999,888 x 10 4

Question 8. Use Structure What is the average number of vehicles that cross each bridge in one year? Answer: Given that, The average number of vehicles crossing the Golden gate bridge per day = 112,000 = 1.12 x 10 2 The average number of vehicles crossing the San Francisco- Oakland Bay Bridge = 2.7 x 10 7

Question 10. About how many more people live in Houston than in El Paso? Express your answer in scientific notation. Answer: Given that, The population in the Houston = 2.3 x 10 6 The population in the El paso = 6,80,000 = 6.8 x 10 5 2.3 x 10 6 in standard form is2,300,000 6.8 x 10 5 in standard form is 680,000 The number of people live in Houston than in El Paso is 2,300,000 – 680,000 = 1,620,000 1,620,000 in scientific notation is 1.62 x 10 6

Question 11. About how many times as many people live in El Paso as in Corpus Christi? Answer: Given that, The population in the El paso = 6,80,000 = 6.8 x 10 5 The population in the Corpus Christo = 3.2 x 10 5 The number of people living in EI Paso as in Corpus Christi is (6.8 x 10 5 ) – (3.2 x 10 5 ) = (6.8 – 3.2) x 10 5 = 3.6 x 10 5 in scientific notation is 3.6 x 10 5 Therefore the number of people living in EI Paso as in Corpus Christi is 3.6 x 10 5

Question 12. STEM A typical Escherichia coil (or E. coi,) bacterial cell is about 7.9 × 10 -5 inch long. Suppose you could line up E. coil cells, end to end, across a Petri dish with a diameter of 2 inches. About how many cells would fit across the dish? Explain your method. Answer:

For Problems 13-14, a ream of paper contains 500 sheets and a case of paper contains 10 reams.

Question 13. An office supply store gets a delivery of 400 cases. How many sheets of paper are in the delivery? Express your answer in scientific notation. Answer: Given that, An office supply store gets a delivery of 400 cases 1 case = 10 reams 400 cases = 400 x 10 = 4000 reams 1 ream = 500 sheets 4000 reams = 4000 x 500 = 2,000,000 sheets. 2,000,000 sheets in scientific notation is 2 x 10 6

Question 14. Use Tools A ream of paper is 4.5 × 10 -2 meter thick. Use a calculator to find the thickness of a single sheet of paper. Then express the answer using a more appropriate unit of length. Answer: Given that, A ream of paper is 4.5 × 10 -2 meter thick 1 ream = 500 sheets The thickness of one sheet is 4.5 × 10 -2 /500 = 0.045/500 = 0.00009 meters Therefore the thickness of one sheet is 0.00009 meters

For Problems 15-16, the image shows the top speed at which a Galapagos tortoise can travel.

Question 15. At its top speed, how far does the tortoise travel in one minute? Use an appropriate unit of length for your answer. Answer: Given that, The speed of a tortoise is 3 x 10 -1 km/hr. How far tortoises travel in one minute is 1 hour 60 minutes. 1 minute = 3 x 10 -1 /60. = 0.3/60 = 0.005 0.005 in the scientific notation is 5 x 10 -3 The tortoise’s travel in one minute is 5 x 10 -3 km/min.

Question 16. The top speed of a cheetah is 1.2 × 10 2 kilometers per hour. How many times as fast is the cheetah as the tortoise? Answer:

Given that, The speed of a cheetah is 1.2 × 10 2 kilometres per hour. The speed of a tortoise is 3 x 10 -1 km/hr. The number of times as fast as the cheetah as the tortoise is (1.2 × 10 2 ) – (3 x 10 -1 ) 1.2 × 10 2 = 120 3 x 10 -1 =0.3 Therefor 120 – 0.3 = 119.7. 119.7 in scientific notation is 1.197 x 10 2 The number of times as fast is the cheetah as the tortoise is 1.197 x 10 2

Question 17. Open-Ended Write two numbers in scientific notation so that all of the following are true.

• Both numbers are greater than 1 × 10 2 .
• Both numbers are less than 1 × 10 6 .
• The product of the two numbers is 5 × 10 6 .

Then use a calculator to verify the product of the two numbers. Answer:

Question 18. Reason New Zealand consists of hundreds of islands. Most of the population lives on the North Island, which has an area of 1.14 × 10 5 square kilometers, and the South Island, which has an area of 151,000 square kilometers. A. Which island has a greater area? How many square kilometers greater is it? Express your answer in scientific notation. Answer: Given that, The population lives on the North Island, which has an area of 1.14 × 10 5 square kilometres. The population lives on the South Island, which has an area of 151,000 square kilometers. 151,000 = 1.51 x 10 5 The South Island has the greater population. = (1.51 x 10 5 ) – (1.14 × 10 5 ) = 0.37 × 10 5 The South Island is 0.37 × 10 5 greater than the North Island. 0.37 × 10 5 in scientific notation is 3.7 × 10 4 square kilometers

B. The population of the North Island and South Island combined is about 4.8 × 10 6 . Find the approximate population density in people per square kilometer, rounded to the nearest unit. Explain your steps. Answer:

Given that, A single sesame seed weighs approximately 4 x 10 -6 1 kilogram = 1000 grams. Sesame seed per 1 gram = 4 x 10 -6 /1000 = 0.000004/1000 = 0.000000004 = 4 x 10 -9 grams Sesame seed per 1 gram = 4 x 10 -9 grams. 4 x 10 -9 grams in scientific notation is 4 x 10 -9 grams.

Question 20. Use Structure Marisol multiplies 3 × 10 -2 and 4 × 10 -5 and gets 12 × 10 -7 as the product. What steps should she take next to write the product using correct scientific notation? Explain why these steps will not change the value of the product. Answer:

For Problems 21-24, add or subtract. Express your answer in scientific notation.

Question 21. (1.4 × 10 5 ) + (9.5 × 10 -6 ) Answer: Given that, (1.4 × 10 5 ) + (9.5 × 10 -6 ) = (1.4 + 9.5) x (10 5 + 10 -6 ) If bases are equal then the powers should be added. = 10.9 x 10 -1 10.9 x 10 -1 in scientific notation is 1.09 x 10 0

Question 22. (4.7 × 10 10 ) – (6.8 × 10 9 ) Answer: Given that, (4.7 × 10 10 ) – (6.8 × 10 9 ) Convert 10 10 to 10 9 Move the decimal on 6.8 to the left by one place then 6.8 = 0.68 = (4.7 + 0.68) x 10 9 = 5.38 x 10 9 5.38 x 10 9 in scientific notation is 5.38 x 10 9

Question 23. (4.4 × 10 6 ) + (7.1 × 10 6 ) Answer: Given that, (4.4 × 10 6 ) + (7.1 × 10 6 ) = (4.4 + 7.1) x (10 6 +10 6 ) If bases are equal then the powers should be added. = 11.5 x 10 12 11.5 x 10 12 in scientific notation is 1.15 x 10 13

Question 24. (8.5 × 10 -2 ) – (8.5 × 10 -3 ) Answer: Given that, (8.5 × 10 -2 ) – (8.5 × 10 -3 ) Convert 10 -3 to 10 -2 Move the decimal on 8.5 to the left by one place than 8.5 = 0.85 = (8.5 – 0.85) x 10 -2 = 7.65 x 10 -2 (8.5 × 10 -2 ) – (8.5 × 10 -3 ) in the scientific notation is 7.65 x 10 -2

For Problems 25-28, multiply or divide. Express your answer in scientific notation.

Question 25. (1.8 × 10 3 ) × (2.25 × 10 5 ) Answer: Given that, (1.8 × 10 3 ) × (2.25 × 10 5 ) Multiply the coefficients and powers of ten separately then combine and add exponents in multiplication. = (1.8 x 2.25) x (10 3 × 10 5 ) = 4.05 x 10 3+5 = 4.05 x 10 8 (1.8 × 10 3 ) × (2.25 × 10 5 ) in the scientific notation is 4.05 x 10 8

Question 26. (6 × 10 -8 ) ÷ (1.5 × 10 -9 ) Answer: Given that, (6 × 10 -8 ) ÷ (1.5 × 10 -9 ) Divide the coefficients and powers of ten separately then combine and subtract exponents in the division. = (6/1.5) x (10 -8 )/ (10 -9 ) = 4 x 10 1 (6 × 10 -8 ) ÷ (1.5 × 10 -9 ) in scientific notation is 4 x 10 1

Question 27. (8.2 × 10 -7 ) × (3.1 × 10 11 ) Answer: Given that, (8.2 × 10 -7 ) × (3.1 × 10 11 ) Multiply the coefficients and powers of ten separately then combine and add exponents in multiplication. = (8.2 x 3.1) x (10 -7 × 10 11 ) = 25.42 x 10 4 (8.2 × 10 -7 ) × (3.1 × 10 11 ) = 25.42 x 10 4 25.42 x 10 4 in scientific notation is 2.542 x 10 5

Question 28. (9.6 × 10 5 ) ÷ (3 × 10 5 ) Answer: Given that, (9.6 × 10 5 ) ÷ (3 × 10 5 ) Divide the coefficients and powers of ten separately then combine and subtract exponents in the division. = 9.6/3 x (10 5 )/ (10 5 ) = 3.2 x 10 0 (9.6 × 10 5 ) ÷ (3 × 10 5 ) in scientific notation is 3.2 x 10 0

Lesson 12.3 More Practice/Homework

Question 1. School District A has 5.6 × 10 5 students. School District B has 2.5 × 10 5 students. What is the total number of students in the two school districts? Answer: Given that, School District A has 5.6 × 10 5 students. School District B has 2.5 × 10 5 students. The total sum of the two school districts = (5.6 × 10 5 ) + (2.5 × 10 5 ) = (5.6 + 2.5) x (10 5 +10 5 ) = 8.1 x 10 10 The total sum of the two school districts = 8.1 x 10 10

Question 2. What is the combined mass of an aphid and a worker ant? Answer: Given that, The mass of a typical aphid is 2 x 10 -7 kilogram. The mass of a typical worker ant is 3 × 10 -6 kilogram. The combined mass of an aphid and a worker ant is (2 x 10 -7 ) + (3 × 10 -6 ) = (2 + 3) x (10 -7 +10 -6 ) = 5 x 10 -13 kilogram. The combined mass of an aphid and a worker ant is 5 x 10 -13 kilogram.

Question 3. How much greater is the mass of a worker ant than the mass of an aphid? Answer: Given that, The mass of a typical worker ant is 3 × 10 -6 kilogram. The mass of a typical aphid is 2 x 10 -7 kilogram. The mass of a typical worker ant greater than typical aphid is (3 × 10 -6 ) – (2 x 10 -7 ) (3 × 10 -6 ) in standard form is 0.0000003 (2 x 10 -7 ) in standard form is 0.00000002 The mass of a typical worker ant greater than a typical aphid is 0.0000003 – 0.00000002 = 0.00000028 0.00000028 in the scientific notation is 2.8 x 10 -7

Question 4. Attend to Precision A factory produces boxes of paper clips that each contain 2.5 × 10 2 paper clips. Every hour, the factory produces 8000 boxes. Assuming the factory operates 24 hours per day, how many paper clips are produced in one week? Express your answer in scientific notation. Answer: Given that, A factory produces boxes of paper clips. Each box contains 2.5 × 10 2 paper clips. The number of boxes is 8000 per 1 hour. The factory operates 24 hours per day 1 week = 7 days 1 day = 24 hours 1 week = 7 x 24 = 168 hours. Number of boxes per 168 hours = 8000 x 168 = 1,344,000. The number of paper clips = 1,344,000 x 2.5 × 10 2 = 336,000,000. 336,000,000 in scientific notation is 3.36 x 10 8

Question 6. (7.7 × 10 6 ) – (2.5 × 10 6 ) Answer: Given that, (7.7 × 10 6 ) – (2.5 × 10 6 ) (7.7 × 10 6 ) in standard form is 7,700,000 (2.5 × 10 6 ) in standard form is 2,500,000 7,700,000 – 2,500,000 = 5,200,000 5,200,000 in scientific notation is 5.2 x 10 6

Question 7. (3.9 × 10 4 ) + (7.5 × 10 5 ) Answer: Given that, (3.9 × 10 4 ) + (7.5 × 10 5 ) Here the bases are equal then the powers should be added. = (3.9 + 7.5) x 10 4+5 = 11.4 x 10 9 11.4 x 10 9 in scientific notation is = 1.14 x 10 10

Question 8. (5.22 × 10 -2 ) + (3.85 × 10 -3 ) Answer: Given that, (5.22 × 10 -2 ) + (3.85 × 10 -3 ) Here the bases are equal then the powers should be added. = (5.22 + 3.85) x (10 -2 + 10 -3 ) = 9.07 x (10 -2+(-3) ) = 9.07 x 10 -5 9.07 x 10 -5 9.07 x 10 -5 in scientific notation is 9.07 x 10 -5

Question 9. (1.4 × 10 -7 ) – (4.4 × 10 -8 ) Answer: Given that, (1.4 × 10 -7 ) – (4.4 × 10 -8 ) Convert 10 -8 to 10 -7 In 4.4 move one decimal to the left then it is 0.44 x 10 -7 (1.4 × 10 -7 ) – (0.44 x 10 -7 ) = (1.4 – 0.44) x 10 -7 = 0.96 x 10 -7 0.96 x 10 -7 in scientific notation is 9.6 x 10 -7

Question 10. (7.2 × 10 4 ) × (1.8 × 10 3 ) Answer: Given that, (7.2 × 10 4 ) × (1.8 × 10 3 ) Multiply the coefficients and powers of ten separately then combine and add exponents in multiplication. = (7.2 x 1.8) x (10 4 x 10 3 ) = 12.96 x 10 4+3 = 12.96 x 10 7 (7.2 × 10 4 ) × (1.8 × 10 3 ) = 12.96 x 10 7 12.96 x 10 7 in scientific notation is 1.269 x 10 8

Question 11. (8.4 × 10 -5 ) ÷ (4.2 × 10 -6 ) Answer: Given that, (8.4 × 10 -5 ) ÷ (4.2 × 10 -6 ) Divide the coefficients and powers of ten separately then combine and subtract exponents in the division. (8.4 × 10 -5 )/ (4.2 × 10 -6 ) = 8.4/4.2 x (10 -5 )/ (10 -6 ). = 2 x 10 1 (8.4 × 10 -5 ) ÷ (4.2 × 10 -6 ) = 2 x 10 1 2 x 10 1 in scientific notation is 2 x 10 1

Question 12. (4.1 × 10 12 ) × (3.5 × 10 -7 ) Answer: Given that, (4.1 × 10 12 ) × (3.5 × 10 -7 ) Multiply the coefficients and powers of ten separately then combine and add exponents in multiplication. (4.1 x 3.5) x (10 12 x 10 -7 ) = 14.35 x 10 5 (4.1 × 10 12 ) × (3.5 × 10 -7 ) = 14.35 x 10 5 14.35 x 10 5 in scientific notation is 1.435 x 10 6

Question 13. (5.2 × 10 -3 ) ÷ (4 × 10 6 ) Answer: Given that, (5.2 × 10 -3 ) ÷ (4 × 10 6 ) Divide the coefficients and powers of ten separately then combine and subtract exponents in the division. = 5.2/4 x (10 -3 )/ (10 6 ) = 1.3 x 10 3 (5.2 × 10 -3 ) ÷ (4 × 10 6 ) = 1.3 x 10 3 1.3 x 10 3 in the scientific notation is 1.3 x 10 3

Question 15. What was the combined seasonal attendance for the Aviators and the Wranglers? (A) 2.46 × 10 4 attendees (B) 3.9 × 10 4 attendees (C) 3.68 × 10 8 attendees D) 3.9 × 10 8 attendees Answer: Given that, The seasonal attendance of the Aviators = 2.3 x 10 4 . The seasonal attendance of the Wranglers = 16000. 16000 = 1.6 x 10 4 The combined seasonal attendance for the Aviators and the Wranglers = 2.3 x 10 4 + 1.6 x 10 4 = (2.3 + 1.6) x 10 8 = 3.9 x 10 8 Option D is the correct answer.

Question 16. How much greater was the Wranglers’ seasonal attendance than the Barracudas’ seasonal attendance? Write your answer in scientific notation. Answer: Given that, The seasonal attendance of the Wranglers = 16000. The seasonal attendance of the Barracudas = 8.9 x 10 3 16000 = 1.6 x 10 4 Therefore 1.6 x 10 4  – 8.9 x 10 3 1.6 x 10 4 in standard form is 16,000 8.9 x 10 3 in standard form is 8,900 Therefore 16,000 – 8,900 = 7100 7000 in scientific notation is 7.1 x 10 3

Question 17. The Aviators’ season consisted of 8 games. What was the average attendance per game? Express your answer in scientific notation and in standard form. Answer: Given that, The seasonal attendance of the Aviators = 2.3 x 10 4 . The Aviators’ season consisted of 8 games. The average attendance per game was 2.3 x 10 4 /8 = 23,000/8 = 2,875 2,875 in the scientific notation is 2.875 x 10 3

Spiral Review

Question 19. Use the Pythagorean Theorem to find the distance between the points (2, 3) and (-1, -2). Round to the nearest tenth. Answer: Given that, The points are (x1, y1) = (2, 3) (x2, y2) = (-1, -2) The formula for the Distance of the Pythagorean theorem is d = sqrt (x2 – x1) 2   + (y2 – y1) 2 = (-1 – 2) 2 + (-2 – 3) 2 = (9) + (25) = 34 km 34 rounded to the nearest tenth is 30 km.

Question 20. Order the values from least to greatest: (3 + \(\sqrt {5}\) ), π, \(\frac{5}{2}\), (6 + \(\sqrt {2}\) ), –\(\sqrt {16}\) . Answer: Given that, (3 + \(\sqrt {5}\) ) = 3 + sqrt(5) = 5.236 π = 3.14 \(\frac{5}{2}\) = 5/2 = 2.5 (6 + \(\sqrt {2}\) ) = 6 + sqrt(2) = 7.414 –\(\sqrt {16}\) = -sqrt(16) = -4 The order of values from the least to greatest is –\(\sqrt {16}\) = -sqrt(16) = -4, \(\frac{5}{2}\), π, (3 + \(\sqrt {5}\) ), (6 + \(\sqrt {2}\) ) = 6 + sqrt(2).

Leave a Comment Cancel Reply

You must be logged in to post a comment.

Allene W. Leflore

Customer Reviews

Support team is ready to answer any questions at any time of day and night

How do I place an order with your paper writing service?

What is the best essay writer.

The team EssaysWriting has extensive experience working with highly qualified specialists, so we know who is ideal for the role of the author of essays and scientific papers:

• Easy to communicate. Yes, this point may seem strange to you, but believe me, as a person communicates with people, he manifests himself in the texts. The best essay writer should convey the idea easily and smoothly, without overloading the text or making it messy.
• Extensive work experience. To start making interesting writing, you need to write a lot every day. This practice is used by all popular authors for books, magazines and forum articles. When you read an essay, you immediately understand how long a person has been working in this area.
• Education. The ideal writer should have a philological education or at least take language courses. Spelling and punctuation errors are not allowed in the text, and the meaning should fit the given topic.

Such essay writers work in our team, so you don't have to worry about your order. We make texts of the highest level and apply for the title of leaders in this complex business.

We do not tolerate any form of plagiarism and use modern software to detect any form of it

Sophia Melo Gomes

Finished Papers

Customer Reviews

offers a great selection of professional essay writing services. Take advantage of original, plagiarism-free essay writing. Also, separate editing and proofreading services are available, designed for those students who did an essay and seek professional help with polishing it to perfection. In addition, a number of additional essay writing services are available to boost your customer experience to the maximum!

Advanced writer

Add more quality to your essay or be able to obtain a new paper within a day by requesting a top or premium writer to work on your order. The option will increase the price of your order but the final result will be totally worth it.

Top order status

Every day, we receive dozens of orders. To process every order, we need time. If you’re in a great hurry or seek premium service, then choose this additional service. As a result, we’ll process your order and assign a great writer as soon as it’s placed. Maximize your time by giving your order a top status!

SMS updates

Have you already started to write my essay? When it will be finished? If you have occasional questions like that, then opt-in for SMS order status updates to be informed regarding every stage of the writing process. If you’re pressed for time, then we recommend adding this extra to your order.

Plagiarism report

Is my essay original? How do I know it’s Turnitin-ready? Very simple – order us to attach a detailed plagiarism report when work is done so you could rest assured the paper is authentic and can be uploaded to Turnitin without hesitating.

1-page summary

World’s peace isn’t riding on essay writing. If you don’t have any intent on reading the entire 2000-word essay that we did for you, add a 1-page summary to your order, which will be a short overview of your essay one paragraph long, just to be in the loop.

Our team of paper writers consists only of native speakers coming from countries such as the US or Canada. But being proficient in English isn't the only requirement we have for an essay writer. All professionals working for us have a higher degree from a top institution or are current university professors. They go through a challenging hiring process which includes a diploma check, a successful mock-task completion, and two interviews. Once the writer passes all of the above, they begin their training, and only after its successful completion do they begin taking "write an essay for me" orders.

Can you write essays for free?

Sometimes our managers receive ambiguous questions from the site. At first, we did not know how to correctly respond to such requests, but we are progressing every day, so we have improved our support service. Our consultants will competently answer strange suggestions and recommend a different way to solve the problem.

The question of whether we can write a text for the user for free no longer surprises anyone from the team. For those who still do not know the answer, read the description of the online platform in more detail.

We love our job very much and are ready to write essays even for free. We want to help people and make their lives better, but if the team does not receive money, then their life will become very bad. Each work must be paid and specialists from the team also want to receive remuneration for their work. For our clients, we have created the most affordable prices so that a student can afford this service. But we cannot be left completely without a salary, because every author has needs for food, housing and recreation.

We hope that you will understand us and agree to such working conditions, and if not, then there are other agencies on the Internet that you can ask for such an option.

Finished Papers

1(888)499-5521

1(888)814-4206

Our Team of Essay Writers.

Some students worry about whether an appropriate author will provide essay writing services to them. With our company, you do not have to worry about this. All of our authors are professionals. You will receive a no less-than-great paper by turning to us. Our writers and editors must go through a sophisticated hiring process to become a part of our team. All the candidates pass the following stages of the hiring process before they become our team members:

• Diploma verification. Each essay writer must show his/her Bachelor's, Master's, or Ph.D. diploma.
• Grammar test. Then all candidates complete an advanced grammar test to prove their language proficiency.
• Writing task. Finally, we ask them to write a small essay on a required topic. They only have 30 minutes to complete the task, and the topic is not revealed in advance.
• Interview. The final stage is a face-to-face interview, where our managers test writers' soft skills and find out more about their personalities.

So we hire skilled writers and native English speakers to be sure that your project's content and language will be perfect. Also, our experts know the requirements of various academic styles, so they will format your paper appropriately.

Can I Trust You With Other Assignments that aren't Essays?

The best way to complete a presentation speech is with a team of professional writers. They have the experience, the knowledge, and ways to impress your prof. Another assignment you can hire us for is an article review. Evaluating someone's work with a grain of salt cannot be easy, especially if it is your first time doing this. To summarize, article reviews are a challenging task. Good that you've found our paper service and can now drop your worries after placing an order. If reading 100-page-long academic articles and digging into every piece of information doesn't sound like something you'd want to do on a Sunday night, hire our essay writing company to do your research proposal. Are you struggling with understanding your professors' directions when it comes to homework assignments? Hire professional writers with years of experience to earn a better grade and impress your parents. Send us the instructions, and your deadline, and you're good to go. We're sure we have a professional paper writer with the skills to complete practically any assignment for you. We only hire native English speakers with a degree and 3+ years of experience, some are even uni professors.

First, you have to sign up, and then follow a simple 10-minute order process. In case you have any trouble signing up or completing the order, reach out to our 24/7 support team and they will resolve your concerns effectively.

Look up our reviews and see what our clients have to say! We have thousands of returning clients that use our writing services every chance they get. We value your reputation, anonymity, and trust in us.

Sophia Melo Gomes

Courtney Lees

Read what our clients have to say about our writing essay services!

Finished Papers

EssayService strives to deliver high-quality work that satisfies each and every customer, yet at times miscommunications happen and the work needs revisions. Therefore to assure full customer satisfaction we have a 30-day free revisions policy.

Still not convinced? Check out the best features of our service:

Will you write me an essay.

Students turn to us not only with the request, "Please, write my essay for me." From the moment we hear your call, homework is no longer an issue. You can count on our instant assistance with all essay writing stages. Just to let you know, our essay writers do all the work related to writing, starting with researching a topic and ending with formatting and editing the completed paper. We can help you choose the right topic, do in-depth research, choose the best up-to-date sources, and finally compose a brilliant piece to your instructions. Choose the formatting style for your paper (MLA, APA, Chicago/Turabian, or Harvard), and we will make all of your footnotes, running heads, and quotations shine.

Our professional essay writer can help you with any type of assignment, whether it is an essay, research paper, term paper, biography, dissertation, review, course work, or any other kind of writing. Besides, there is an option to get help with your homework assignments. We help complete tasks on Biology, Chemistry, Engineering, Geography, Maths, Physics, and other disciplines. Our authors produce all types of papers for all degree levels.

Cookies! We use them. Om Nom Nom ...

Constant customer Assistance