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(1)

© JL1981

Move left ( + ) Move right ( – )

© James Lyas (Bond with James)

(2)

© JL1981

Keep up-to-date with updates or new products by subscribing to one or more of the following:

© James Lyas (Bond with James) jlyas714@gmail.com

Thank you for purchasing Scientific Notation Task Cards. Please take a moment of your time to provide feedback after you have used the product. Also note that the product only includes words or content required for teaching in my area; however, I will be more than happy to include terms or content you feel should be added – please let me know (email or my TpT store). I do ask that I not be penalized for this particular fact in the feedback, if possible, as I am cognizant of this. You will receive a file update anytime I revise and upload a new version of this product to the site at no cost to you.

Page 3 – Terms of Use || Page 4 – Suggestions for Use Pages 5–9 – Scientific Notation Set with Key

Pages 10-14 – Standard Notation Set with Key

Pages 15 – 17 – Multiple choice / Explanation set (Key for 1-9 only) pages 18 – 20 – Scientific Notation calculations with Key

(3)

© JL1981

Keep up-to-date with updates or new products by subscribing to one or more of the following:

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The original purchaser of this document is granted permission to copy for teaching purposes for his/her class only. If you are NOT the original purchaser, please

download the item from my store before making any copies. File sharing, redistributing, editing, selling, or posting this item (or any part thereof) on the Internet, or with others, is strictly prohibited without first gaining permission from the author.

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(4)

© JL1981

There are four sets of cards.

Set 1 (1 – 36): Express each number in scientific notation Set 2 (1 – 36): Express each number in standard notation

Set 3 (1 – 18): Multiple choice and/or explanation (mixed scientific / standard notation) Set 4 (1 – 18): Scientific notation calculations

• You may wish to print each set on different colored paper to distinguish from one another. For example, Set 1 may be printed on white paper, Set 2 on yellow paper, Set 3 on blue paper, and Set 4 on pink paper.

• Or you may mark the back of each set with a different symbol, color, sticker, etc. prior to lamination.

• I would recommend that a student do no more than 8 – 10 per set. For example, a group of 4 may pull out Set 1.

Each student would randomly choose 8 – 10 cards to complete. The teacher would have the answer key posted or have peers check each others work.

• Set 3 is the higher level set as it requires students to explain why the number is / is not expressed in proper scientific notation or standard notation. I would recommend doing each set immediately after lecture / discussion as a means of practice and reinforcement.

• Class may play Quiz-Quiz-Trade. Visit the following site for more information:

http://www.theteachertoolkit.com/index.php/tool/quiz-quiz-trade

• You may always print off a few for students to use as flash cards.

(5)

Express the following

1

number in proper scientific notation:

0.14 Express the following

2

number in proper scientific notation:

7.14 Express the following

3

number in proper scientific notation:

568000000

Express the following

4

number in proper scientific notation:

78096

Express the following

5

number in proper scientific notation:

111.0 Express the following

6

number in proper scientific notation:

710 Express the following

7

number in proper scientific notation:

0.29000

Express the following

8

number in proper scientific notation:

14 Express the following

9

number in proper scientific notation:

0.000000919

Scientific Notation 1 Scientific Notation 1 Scientific Notation 1

(6)

Express the following

10

number in proper scientific notation:

10 Express the following

11

number in proper scientific notation:

7,000,000.

Express the following

12

number in proper scientific notation:

1,000,000

Express the following

13

number in proper scientific notation:

1010101

Express the following

14

number in proper scientific notation:

1111.0

Express the following

15

number in proper scientific notation:

0.0101010

Express the following

16

number in proper scientific notation:

0.29000 x 10 ⁵

Express the following

17

number in proper scientific notation:

4586.7 x 10 ^-7

Express the following

18

number in proper scientific notation:

0.0000012

(7)

Express the following

19

number in proper scientific notation:

9.00 Express the following

20

number in proper scientific notation:

0.6022 x 10 ²⁴

Express the following

21

number in proper scientific notation:

348560

Express the following

22

number in proper scientific notation:

0.2 Express the following

23

number in proper scientific notation:

10 Express the following

24

number in proper scientific notation:

7.14 Express the following

25

number in proper scientific notation:

6548

Express the following

26

number in proper scientific notation:

0.0330030

Express the following

27

number in proper scientific notation:

40.0 x 10

^-13

(8)

Express the following

28

number in proper scientific notation:

420 Express the following

29

number in proper scientific notation:

0.052 x 10 ²³

Express the following

30

number in proper scientific notation:

123456

Express the following

31

number in proper scientific notation:

20 Express the following

32

number in proper scientific notation:

0.000445

Express the following

33

number in proper scientific notation:

11.20 Express the following

34

number in proper scientific notation:

700. X 10 ¹⁴

Express the following

35

number in proper scientific notation:

0.8 x 10 ^-1

Express the following

36

number in proper scientific notation:

0.00096 x 10 ^-15

(9)

1. 1.4 x 10

^-1

2. 7.14 x 10

⁰

3. 5.68 x 10

⁸

4. 7.8096 x 10

⁴

5. 1.11 x 10

²

6. 7.10 x 10

²

7. 2.9 x 10

^-1

8. 1.4 x 10

¹

9. 9.19 x 10

^-7

10. 1.0 x 10

¹

11. 7.0 x 10

⁶

12. 1.0 x 10

⁶

13. 1.010101 x 10

⁶

14. 1.111 x 10

³

15. 1.01010 x 10

^-2

16. 2.9 x 10

⁴

*

17. 4.5867 x 10

^-4

* 18. 1.2 x 10

^-6

19. 9.00 x 10

⁰

20. 6.022 x 10

²³

*

21. 3.48560 x 10

⁵

22. 2.0 x 10

^-1

23. 1.0 x 10

¹

24. 7.14 x 10

⁰

25. 6.548 x 10

³

26. 3.330030 x 10

^-2

27. 4.0 x 10

^-12

* 28. 4.20 x 10

²

29. 5.2 x 10

²¹

* 30. 1.23456 x 10

⁵

31. 2.0 x 10

¹

32. 4.45 x 10

^-4

33. 1.12 x 10

¹

34. 7.00 x 10

¹⁶

* 35. 8.0 x 10

^-2

* 36. 9.6 x 10

^-19

*

Express the following number in proper scientific notation (Answer Key 1 – 36)

Move left ( + ) Move right ( – )

• Certain problems appear to be in scientific notation – example: 721.1 x 10¹⁴.

• However, remember that the decimal goes behind the very first non-zero number (That is, there should only be one number (1-9) on the left side of the decimal).

• Therefore, you would move the decimal two places to the left 7.211 and add two to the exponent which would be 7.211 x 10¹⁶ since moving to the left is (+). If you moved the decimal two spaces to the right, you would subtract two since moving to the right is (-).

• This must be completed prior to changing the number to standard notation.

(10)

Express the following

1

number in standard notation.

5.83 x 10 ³

Express the following

2

number in standard notation.

7.81 x 10 ^-6

Express the following

3

number in standard notation.

5.68 x 10 ^-3

Express the following

4

number in standard notation.

7.8096 x 10 ⁴

Express the following

5

number in standard notation.

1.0 x 10 ^-5

Express the following

6

number in standard notation.

7.10 x 10 ⁰

Express the following

7

number in standard notation.

2.90 x 10 ^-4

Express the following

8

number in standard notation.

1.4 x 10 ⁰

Express the following

9

number in standard notation.

9.91 x 10 ⁶

Standard Notation 1 Standard Notation 1 Standard Notation 1

(11)

Express the following

10

number in standard notation.

1.0 x 10 ¹

Express the following

11

number in standard notation.

7 x 10 ^-1

Express the following

12

number in standard notation.

1 x 10 ⁶

Express the following

13

number in standard notation.

1.010101 x 10 ⁴

Express the following

14

number in standard notation.

7.77 x 10 ^-10

Express the following

15

number in standard notation.

2.22 x 10 ^-9

Express the following

16

number in standard notation.

29.11 x 10 ⁵

Express the following

17

number in standard notation.

4586.7 x 10 ^-7

Express the following

18

number in standard notation.

0.101010 x 10

⁰

(12)

Express the following

19

number in standard notation.

9.0 x 10 ⁰

Express the following

20

number in standard notation.

0.6022 x 10 ⁴

Express the following

21

number in standard notation.

348560. x 10 ^-5

Express the following

22

number in standard notation.

0.2 x 10 ⁰

Express the following

23

number in standard notation.

6.02 x 10 ⁰

Express the following

24

number in standard notation.

7.14 x 10 ⁷

Express the following

25

number in standard notation.

6548.0 x 10 ^-4

Express the following

26

number in standard notation.

0.033 x 10 ³

Express the following

27

number in standard notation.

40.0 x 10 ^-8

(13)

Express the following

28

number in standard notation.

4.20 x 10 ²

Express the following

29

number in standard notation.

0.052 x 10 ⁵

Express the following

30

number in standard notation.

12.3456 x 10 ⁴

Express the following

31

number in standard notation.

2.0 x 10 ⁰

Express the following

32

number in standard notation.

4.45 x 10 ^-4

Express the following

33

number in standard notation.

0.112 x 10 ³

Express the following

34

number in standard notation.

7.0102 x 10 ⁸

Express the following

35

number in standard notation.

80.1 x 10 ^-1

Express the following

36

number in standard notation.

0.00005 x 10

⁹

(14)

Express the following number in proper standard notation (Answer Key 1 – 36)

1. 5,830

2. 0.00000781 3. 0.00568 4. 78,096 5. 0.000010 6. 7.10

7. 0.000290 8. 1.4

9. 9,910,000 10. 10

11. 0.7

12. 1,000,000 13. 10101.01

14. 0.000000000777 15. 0.00000000222 16. 2,911,000 * 17. 0.00045867 * 18. 0.101010 * 19. 9.0

20. 6022 *

21. 3.48560 * 22. 0.2 *

23. 6.02

24. 71,400,000 25. 0.6548 * 26. 33 *

27. 0.0000004 28. 420

29. 5200 * 30. 123456 *

31. 2.0

32. 0.000445 33. 112 *

34. 701,020,000 35. 8.01 *

36. 50,000 *

Move left ( + ) Move right ( – )

(15)

1 Which of the following is properly

expressed in scientific notation?

a. 0.2 x 10³ b. 5.83 x 10³ c. 19.7 x 10³ d. 20 x 10³

Which of the following is properly 2 expressed in scientific notation?

a. 7.14 x 10^-4 b. 0.83 x 10^-4 c. 0.005 x 10^-5 d. 5,000 x 10^-5

Which of the following is properly 3 expressed in scientific notation?

a. 10 x 10^-5 b. 20.1 x 10⁴ c. 6.02 x 10^-23 d. 4,567

Which of the following is properly 4 expressed in standard notation?

a. 0.02 x 10³ b. 6000 x 10³ c. 18.7 x 10³ d. 4.23 x 10³

a. 10 b. 1 x 10³ c. 1.0 x 10³ d. 1.00 x 10³

a. 5.000 x 10⁵ b. 50.00 x 10⁵ c. 500.0 x 10⁵ d. 5,000,000

7 Which of the following is not properly

a. 3.64 x 10³ b. 3.46 x 10³ c. 29.7 x 10³ d. 2.00 x 10³

There may be more than one answer 

a. 0.23 x 10^-4 b. 1.2 x 10³ c. 5,1236 d. 123.0 x 10²

There may be more than one answer 

a. 0.0023 b. 64.3 x 10⁰ c. 9.8 x 10¹³

Scientific / Standard Scientific / Standard Scientific / Standard

(16)

Explain the process to

10

convert 0.032 x 10

^-6

into proper scientific

notation.

Be careful, numbers may already be in scientific notation



Explain why

11

31.2 x 10

⁶

is not expressed in proper scientific notation.



Explain the process to

12

convert 0.00023 into proper scientific

notation.



Explain the process to

13

convert 6.79 x 10

^-8

into proper standard

notation.



Explain the process to

14

convert 16.79 x 10

^-8

into proper standard

notation.



Explain the process to

15

convert 8.16 x 10

¹

into proper scientific

notation.



Explain why

16

1.23 x 10

⁵

is not expressed in proper scientific notation.



Explain why

17

0.00012 x 10

^-5

is not expressed in proper scientific notation.



Explain the process to

18

convert 0.23 x 10

^-4

into proper standard

notation.

Scientific / Standard Scientific / Standard Scientific / Standard

(17)

Which of the following is properly expressed in scientific / standard notation?

(Answer Key 1 – 9)

Move left ( + ) Move right ( – )

1. B 2. A 3. C 4. D 5. A 6. D

7. C 8. A, C, D 9. A, B

For problems 10-18,

see bottom explanations

(18)

1 Solve the following problem

*Calculators permitted only with teacher permission*

(2.0 x 10²) x (3.0 x 10⁶)

(3.0 x 10⁵) (3.0 x 10⁶)

(4.0 x 10^-2) x (3.0 x 10⁶)

(18.0 x 10^-3) (3.0 x 10⁴)

(7.0 x 10^-6) x (3.0 x 10⁴)

(20.0 x 10³) (2.0 x 10³)

(10.0 x 10⁴) x (9.0 x 10⁶)

(1.5 x 10²) x (1.5 x 10^-6)

(100.0 x 10^-7) (20.0 x 10^-7)

Multiplication / Division Multiplication / Division Multiplication / Division

(19)

(3.0 x 10⁶) + (2.0 x 10⁶)

(3.0 x 10^-5) - (2.0 x 10^-5)

(4.0 x 10^-2) + (3.0 x 10^-2)

(7.0 x 10¹) + (3.0 x 10²)

(8.0 x 10^-1) - (3.0 x 10^-2)

(20.0 x 10³) + (2.0 x 10³)

(10.0 x 10⁰) - (9.0 x 10^-2)

(1.5 x 10¹) + (1.5 x 10²)

(100.0 x 10¹) - (20.0 x 10^-1)

Addition / Subtraction Addition / Subtraction Addition / Subtraction

(20)

Scientific Notation Calculations (Answer Key 1 – 18)

Move left ( + ) Move right ( – )

• This must be completed prior to changing the number to standard notation; also prior to addition and subtraction so that the exponents of all numbers are the same.

1. 6.0 x 10

⁸

2. 1.0 x 10

^-1

3. 1.2x 10

⁵

4. 6.0 x 10

^-7

5. 2.10 x 10

^-1

6. 1.0 x 10

¹

7. 9.0 x 10

¹¹

8. 2.25 x 10

^-4

9. 5.0 x 10

⁰

10. 5.0 x 10

⁶

11. 1.0 x 10

^-5

12. 7.0 x 10

^-2

13. 3.7 x 10

²

14. 7.7 x 10

^-1

15. 2.2 x 10

⁴

16. 9.91 x 10

⁰

17. 1.65 x 10

²

18. 9.98 x 10

²

Move left ( + ) Move right ( – )

© JL1981

Move left ( + ) Move right ( – )

© JL1981

© JL1981

© JL1981

Express the following

number in proper scientific notation:

0.14

Express the following

number in proper scientific notation:

7.14

Express the following

number in proper scientific notation:

568000000

Express the following

number in proper scientific notation:

78096

Express the following

number in proper scientific notation:

111.0

Express the following

number in proper scientific notation:

710

Express the following

number in proper scientific notation:

0.29000

Express the following

number in proper scientific notation:

14

Express the following

number in proper scientific notation:

0.000000919

Express the following

number in proper scientific notation:

10

Express the following

number in proper scientific notation:

7,000,000.

Express the following

number in proper scientific notation:

1,000,000

Express the following

number in proper scientific notation:

1010101

Express the following

number in proper scientific notation:

1111.0

Express the following

number in proper scientific notation:

0.0101010

Express the following

number in proper scientific notation:

0.29000 x 10 5

Express the following

number in proper scientific notation:

4586.7 x 10 -7

Express the following

number in proper scientific notation:

0.0000012

Express the following

number in proper scientific notation:

9.00

Express the following

number in proper scientific notation:

0.6022 x 10 24

Express the following

number in proper scientific notation:

348560

Express the following

number in proper scientific notation:

0.2

Express the following

number in proper scientific notation:

10

Express the following

number in proper scientific notation:

7.14

Express the following

number in proper scientific notation:

0.29000 x 10 ⁵

4586.7 x 10 ^-7

0.6022 x 10 ²⁴

^-13

0.052 x 10 ²³

700. X 10 ¹⁴

0.8 x 10 ^-1

0.00096 x 10 ^-15