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© Kathleen Bing 2012 To The Square Inch

©KathleenBing2012ToTheSquareInch€¦ · 7. _____ the number of places the decimal point moved. 8. Write the number as the product of the first number and ten to the _____ of decimal

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Page 1: ©KathleenBing2012ToTheSquareInch€¦ · 7. _____ the number of places the decimal point moved. 8. Write the number as the product of the first number and ten to the _____ of decimal

©"Kathleen"Bing"2012"To"The"Square"Inch"

Page 2: ©KathleenBing2012ToTheSquareInch€¦ · 7. _____ the number of places the decimal point moved. 8. Write the number as the product of the first number and ten to the _____ of decimal

©"Kathleen"Bing"2012"To"The"Square"Inch"

Clipart by KPM Doodles

Backgrounds by Dream Like Magic

Page 3: ©KathleenBing2012ToTheSquareInch€¦ · 7. _____ the number of places the decimal point moved. 8. Write the number as the product of the first number and ten to the _____ of decimal

©"Kathleen"Bing"2012"To"The"Square"Inch"

Included in this product: �*Scientific Notation Notes�

*Scientific Notation to Standard Form Notes�

*Products and Quotients in Scientific Notation Notes�

*20 Scientific Notation Task Cards�*Recording Sheet �

*Science Connection Worksheet �

Page 4: ©KathleenBing2012ToTheSquareInch€¦ · 7. _____ the number of places the decimal point moved. 8. Write the number as the product of the first number and ten to the _____ of decimal

Name:__________________________ Date:____________

©"Kathleen"Bing"2012"To"The"Square"Inch""

Scientific Notation 1. ___________________________ is a way to

write very large and very small numbers by using powers of ten.

2. A number in scientific notation consists of ________ factors.

3. The first factor is a number greater than or equal to ___ and less than _____

4. The second factor is a power of ____ 5. Example: 532,000 written in scientific notation

is

5.32×105 6. To write a number in scientific notation, move

the decimal point until the number is greater than or equal to 1 and less than 10.

7. ___________ the number of places the decimal point moved.

8. Write the number as the product of the first number and ten to the ________________ of decimal places moved.

9. If you move the decimal point to the left, the exponent will be ________________

10. If you move the decimal point to the right, the exponent will be ________________

Page 5: ©KathleenBing2012ToTheSquareInch€¦ · 7. _____ the number of places the decimal point moved. 8. Write the number as the product of the first number and ten to the _____ of decimal

Name:__________________________ Date:____________

©"Kathleen"Bing"2012"To"The"Square"Inch""

11. What is 7,800,000 written in scientific notation?

12. What is 567,000,000,000 written in scientific notation?

13. What is 0.00405 written in scientific notation?

14. What is 0.00000006711 written in scientific notation?

15. What is 9,901,000 written in scientific notation?

Page 6: ©KathleenBing2012ToTheSquareInch€¦ · 7. _____ the number of places the decimal point moved. 8. Write the number as the product of the first number and ten to the _____ of decimal

Name:__________________________ Date:____________

©"Kathleen"Bing"2012"To"The"Square"Inch""

Scientific Notation to Standard Form

1. You can change a number in scientific notation into

_________________ form

2. If the exponent in scientific notation is positive, move the decimal point to the __________________.

3. If the exponent in scientific notation is negative, move the decimal point to the __________________.

4. Add ________ if necessary.

5. What is

8.3×104 in standard form?

6. What is

9.47×10−5 in standard form?

Page 7: ©KathleenBing2012ToTheSquareInch€¦ · 7. _____ the number of places the decimal point moved. 8. Write the number as the product of the first number and ten to the _____ of decimal

Name:__________________________ Date:____________

©"Kathleen"Bing"2012"To"The"Square"Inch""

7. What is

1.103×10−10 in standard form?

8. What is

1×106 in standard form?

9. What is

3.01×10−5 in standard form?

10. What is

4.2×10−4 in standard form?

Page 8: ©KathleenBing2012ToTheSquareInch€¦ · 7. _____ the number of places the decimal point moved. 8. Write the number as the product of the first number and ten to the _____ of decimal

Name:__________________________ Date:____________

©"Kathleen"Bing"2012"To"The"Square"Inch""

Products and Quotients with Scientific Notation

Using Scientific Notation: 1. You will often see large numbers in the media written

using a combination of a number and a word, such as 3.2 million.

2. To write this number in standard notation, rewrite the word million as ______

3. The exponent 6 indicates that the decimal point should be moved 6 places to the _____________

4. 3.2 million = ___________________

Products with Scientific Notation 5. Evaluate

(5×10−8 )(2.9×102 )

6. Evaluate

(8.9×104 )(4 ×103 )

7. Evaluate

(3.5×107 )(6.1×10−8 )

Page 9: ©KathleenBing2012ToTheSquareInch€¦ · 7. _____ the number of places the decimal point moved. 8. Write the number as the product of the first number and ten to the _____ of decimal

Name:__________________________ Date:____________

©"Kathleen"Bing"2012"To"The"Square"Inch""

Quotients with Scientific Notation

8. Evaluate

1.2789×109

5.22×105

9. Evaluate

7.2×103

1.8×107

10. Evaluate

7.2×10−2

4.5×103

Page 10: ©KathleenBing2012ToTheSquareInch€¦ · 7. _____ the number of places the decimal point moved. 8. Write the number as the product of the first number and ten to the _____ of decimal

Name:__________________________ Date:____________

©"Kathleen"Bing"2012"To"The"Square"Inch""

Scientific Notation In Outer Space!

Mass of the Planets Planet Mass Mercury 3.30 x 1023 Venus 4.87 x 1024 Earth 5.97 x 1024 Mars 6.42 x 1023

Jupiter 1.90 x 1027 Saturn 5.69 x 1026 Uranus 8.68 x 1025 Neptune 1.02 x 1022

Source: NASA

1. What is the mass of Earth in standard form?

2. What is the mass of Neptune in standard form?

3. Order the mass of Jupiter, Mars and Mercury in order from least to greatest.

4. The mass of the Sun is about 1.99 x 1030. What is this number in standard form?

Page 11: ©KathleenBing2012ToTheSquareInch€¦ · 7. _____ the number of places the decimal point moved. 8. Write the number as the product of the first number and ten to the _____ of decimal

©"Kathleen"Bing"2012"To"The"Square"Inch"

1. Express in standard notation: �

2. Express in standard notation: �

5.32×105

5×10−6

3. Express in standard notation: �

4. Express in standard notation: �

7.9×103

2.23×10−1

Page 12: ©KathleenBing2012ToTheSquareInch€¦ · 7. _____ the number of places the decimal point moved. 8. Write the number as the product of the first number and ten to the _____ of decimal

©"Kathleen"Bing"2012"To"The"Square"Inch"

5. Express 123,000 in scientific notation. �

6. Express 0.0000004 in

scientific notation. �

7. Express 6,100,000 in scientific notation. �

8. Express 0.005 in scientific notation. �

Page 13: ©KathleenBing2012ToTheSquareInch€¦ · 7. _____ the number of places the decimal point moved. 8. Write the number as the product of the first number and ten to the _____ of decimal

©"Kathleen"Bing"2012"To"The"Square"Inch"

9. There are 2x1011 stars in the

Andromeda Galaxy. Express this number in standard notation.�

10. The center of the moon is 2.389x105 miles away from the center of

Earth. Express this number in standard

notation. �

11. The mass of a proton is 1.67265x10-27

kilograms. Express this number in standard

notation. �

12. The mass of an electron is 9.1095x10-31

kilograms. Express this number in standard

notation. �

Page 14: ©KathleenBing2012ToTheSquareInch€¦ · 7. _____ the number of places the decimal point moved. 8. Write the number as the product of the first number and ten to the _____ of decimal

©"Kathleen"Bing"2012"To"The"Square"Inch"

13. The average growth rate of human hair is

3.3x10-4 meter per day. Express this number in

standard notation. �

14. Express in standard notation:�

15. Express in standard notation: �

16. Express in standard notation: �

2.3×1010

5.07×10−6

9.43×104

Page 15: ©KathleenBing2012ToTheSquareInch€¦ · 7. _____ the number of places the decimal point moved. 8. Write the number as the product of the first number and ten to the _____ of decimal

©"Kathleen"Bing"2012"To"The"Square"Inch"

17. Express 0.0000067 in

scientific notation. �

18. Express 345,000,000,000

in scientific notation. �

19. Express 56,000,000 in

scientific notation. �

20. Express 0.00003411 in

scientific notation. �

Page 16: ©KathleenBing2012ToTheSquareInch€¦ · 7. _____ the number of places the decimal point moved. 8. Write the number as the product of the first number and ten to the _____ of decimal

Name:________________________________________________ Date:________________________________

Scientific Notation Task Cards Common Core Standard: 8.EE.A.4

Record your answer to each task card. Show all work!

1. 2.

3. 4.

5. 6.

7. 8.

9. 10.

Page 17: ©KathleenBing2012ToTheSquareInch€¦ · 7. _____ the number of places the decimal point moved. 8. Write the number as the product of the first number and ten to the _____ of decimal

Name:________________________________________________ Date:________________________________

11. 12.

13. 14.

15. 16.

17. 18.

19. 20.

Page 18: ©KathleenBing2012ToTheSquareInch€¦ · 7. _____ the number of places the decimal point moved. 8. Write the number as the product of the first number and ten to the _____ of decimal

Name:________________________________________________ Date:________________________________

Scientific Notation Task Cards Common Core Standard: 8.EE.A.4

Record your answer to each task card.

1. _____________________________________________________________________

2. _____________________________________________________________________

3. _____________________________________________________________________

4. _____________________________________________________________________

5. _____________________________________________________________________

6. _____________________________________________________________________

7. _____________________________________________________________________

8. _____________________________________________________________________

9. _____________________________________________________________________

10. _____________________________________________________________________

11. _____________________________________________________________________

12. _____________________________________________________________________

13. _____________________________________________________________________

14. _____________________________________________________________________

15. _____________________________________________________________________

16. _____________________________________________________________________

17. _____________________________________________________________________

18. _____________________________________________________________________

19. _____________________________________________________________________

20. __________________________________________________________________

Page 19: ©KathleenBing2012ToTheSquareInch€¦ · 7. _____ the number of places the decimal point moved. 8. Write the number as the product of the first number and ten to the _____ of decimal

Name:________________________________________________ Date:________________________________

Choose any 4 task cards. Show all work. Don’t forget to record the card number.

#

#

#

#

Name:________________________________________________ Date:________________________________

Choose any 4 task cards. Show all work. Don’t forget to record the card number.

# #

# #

Page 20: ©KathleenBing2012ToTheSquareInch€¦ · 7. _____ the number of places the decimal point moved. 8. Write the number as the product of the first number and ten to the _____ of decimal

©"Kathleen"Bing"2012"To"The"Square"Inch"

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