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Scientific Notation

Scientific Notation

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Jules Bueno

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4 Slides • 31 Questions

1

Standard Form to Scientific Notation

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Scientific Notation 

Scientific notation is written as a product of two numbers:

-The first number must be between 1 and 10

-The second number must be a power of 10

3

Converting Standard to Scientific
  • Step 1: Create a number between 1 and 10 by moving the decimal. 

  • Step 2 :Count the number of times that you moved the decimal. This number will be your power of 10.

  •  Step 3: If your number is greater than one, the exponent will be positive. 

  • Step 4: If your number is less than one (like a decimal), the exponent will be negative.

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5

Multiple Choice

Change from standard form to scientific notation: 12,000,000

1

12.0 x 107

2

1.2 x 106

3

0.12 x 107

4

1.2 x 107

6

Multiple Choice

Change from standard form to scientific notation: 450,000

1

4.5 x 105

2

4.5 x 104

3

45 x 105

4

4.5 x 106

7

Multiple Choice

Change from standard form to scientific notation: 0.000398

1

3.98 x 10-4

2

3.98 x 10-5

3

39.8 x 10-5

4

39.8 x 10-6

8

Multiple Choice

Change from standard form to scientific notation: 0.004078

1

.4078 x 10-2

2

4.078 x 103

3

40.78 x 10-4

4

4.078 x 10-3

9

Multiple Choice

Write in standard form

2.56 x 10510^5  

1

25,600,000

2

256,000

3

25,605

4

0.0000256

10

Multiple Choice

Write in standard form

4.5 x 10−410^{-4}  

1

45,000

2

450,000

3

0.000045

4

0.00045

11

Multiple Choice

Write in standard form

8.04 x 10210^2  

1

804

2

80,400

3

0.00804

4

0.0804

12

Multiple Choice

Write in standard form

9.5 x 10−310^{-3}  

1

0.00095

2

0.0095

3

95,000

4

9,500

13

Multiple Choice

Write in standard form

6.14 x 10210^2  

1

0.00614

2

0.0614

3

614

4

61400

14

Multiple Choice

Write in standard form

3.005 x 10−610^{-6}  

1

0.0000003005

2

0.000003005

3

3,005,000,000

4

300,500

15

Multiple Choice

Write in standard form

9.072 x 10310^3  

1

0.009072

2

0.0009072

3

9072

4

9,072,000

16

Multiple Choice

Write in Standard Form

1.2335 x 10210^2  

1

0.0012335

2

0.012335

3

1,233,500

4

123.35

17

Multiple Choice

Write in Standard Form

25 x 10−110^{-1}  

1

0.025

2

0.25

3

2.5

4

250

18

Multiple Choice

Write in standard form

5.12 x 10−210^{-2}  

1

0.0512

2

0.512

3

512

4

51,200

19

Multiple Choice

Write  2.0×1052.0\times10^5  in standard notation.

1

200,000

2

0.0002

3

0.00002

4

2,000

20

Multiple Choice

Write  5.0×1035.0\times10^3  in standard notation.

1

5,000

2

50

3

0.005

4

0.05

21

Multiple Choice

Write  1.8×1021.8\times10^2  in standard notation.

1

180

2

1800

3

0.18

4

0.018

22

Multiple Choice

Write  7.1×1047.1\times10^4  in standard notation.

1

71,000

2

710,000

3

0.0071

4

0.00071

23

Multiple Choice

Which number is the largest?

1

 10510^5  

2

 10210^2  

3

 10−110^{-1}  

4

 10−410^{-4}  

24

Multiple Choice

Which number is the smallest?

1

 10510^5  

2

 10210^2  

3

 10−110^{-1}  

4

 10−410^{-4}  

25

Multiple Choice

Write  2.0×10−32.0\times10^{-3}  in standard notation.

1

2,000

2

0.002

3

0.0002

4

200

26

Multiple Choice

Write  7.0×10−57.0\times10^{-5}  in standard notation.

1

700,000

2

0.00007

3

0.000007

4

70,000

27

Multiple Choice

Write  4.9×10−24.9\times10^{-2}  in standard notation.

1

4900

2

490

3

0.049

4

0.49

28

Multiple Choice

Write  6.3×10−46.3\times10^{-4}  in standard notation.

1

0.00063

2

0.000063

3

0.63

4

63,000

29

Multiple Choice

If the exponent is a positive number, like this 4.5×1084.5\times10^8 , you will get a bigger number. Move decimal ________. 

1

to the right

2

to the left

30

Multiple Choice

If the exponent is a negative number, like this  6.1×10−96.1\times10^{-9} , you will get a smaller number. Move decimal _________ 

1

to the right

2

 to the left

31

Fill in the Blanks

4.3×102=4.3\times10^2=  



Type answer...

32

Fill in the Blanks

4.3×10−2=4.3\times10^{-2}=  



Type answer...

33

Multiple Choice

Which number is larger?

1

123,000,000,000,000

2

0.000000000000000258

34

Multiple Choice

Which number is smaller?

1

54,200,000,000

2

0.0000000000999

35

Multiple Choice

If you had to estimate how far we are (on earth) from the sun, which number looks closer to the correct answer?

(Take a look at the integers of exponent)

1

9.4×1079.4\times10^7  miles

2

9.4×10−79.4\times10^{-7} miles

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Standard Form to Scientific Notation

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