Scientific Notation

Scientific Notation

By Susan Kahler

​Scientific notation is a way to write numbers that are either really big or really small using powers of 10. The chart to the right demonstrates how powers of 10 work.

Multiple Choice

What is scientific notation?

• A long way to write really short  numbers
• A short way to write really long numbers
• I don't know...
• None of the above

Multiple Choice

The rule of scientific notation is to write all exponents with a base of ____.

• 50
• 5
• 100
• 10

Multiple Choice

UNDERSTANDING
If the exponent is a positive number...

• you will get a large number
• you will get a smaller number

Multiple Choice

UNDERSTANDING
If the exponent is a negative number...

• you will get a large number
• you will get a small number

Multiple Choice

Write 7.113 x 10⁷ in standard form.

• 71,130,000
• 7,113,000
• 0.0000007113
• 7,113

Multiple Choice

How do you write
8.317 x 10⁶
in standard form?

• 8, 371, 000
• 83, 170, 000
• 837, 100
• 8, 317, 000

Multiple Choice

How many zeros would be in this number if written in standard form?
6.47 x 10¹¹

• 11
• 9
• 10
• 12

Multiple Choice

Write 2.08 x 10²  in standard form.

• 208
• 0.0208
• 20,800
• 0.208

Multiple Choice

Write 7.8 x 10^-3  in standard form.

• 0.0078
• 7,800
• 78
• 0.078

Multiple Choice

Write in standard form: 
7.3003 x 10^-5

• .000073003
• .0000073003
• 730,030

Multiple Choice

How would you write 4.3756 x 10⁴ in standard form?

• 437,560,000
• 0.00043756
• 43,756
• 4,3756

Multiple Choice

Write in standard form: 
8 x 10⁴

• 8,000
• 80,000
• .00008

Multiple Choice

Write in standard form: 
2.12 x 10^-3

• .00212
• .000212
• 2,120

Multiple Choice

Write in scientific notation: 
241 million

• 2.41 x 10⁸
• 2.41 x 10⁷
• 24.1 x 10⁸

Multiple Choice

Which number is correctly written in scientific notation?

(remember there should only be on number to the left of the decimal)

• 5.67 x 10⁵
• 56.7 x 10³
• 0.567 x 10⁶

Multiple Choice

Which number is correctly written in scientific notation?

• 8.2 x 10²
• 82 x 10⁷
• 3.45 x 9⁴

Multiple Choice

Which number is correctly written in scientific notation?

• 3.2867 x 10^-7
• 21.8689 x 10^-4
• 0.1537 x 10⁵

Multiple Choice

Write in scientific notation:  0.0000378 

(use the rules you wrote down from slide 18)

• 3.78 x 10^-5
• 3.78 x 10^-6
• 0.378 x 10^-5

Multiple Choice

Write in scientific notation: 
540,020,000

• 5.4002 x 10⁸
• 5.4 x 10⁸
• 5.4002 x 10⁴

Multiple Choice

Write in scientific notation: 
0.0079245

• 7.9245 x 10^-3
• 7.9245 x 10^-2
• 7.9245 x 10³

Multiple Choice

Write 0.000972 in scientific notation.

• 9.72 x 10^-4
• 9.72 x 10^-3
• 972 x 10^-4
• 9.72 x 10⁴

Multiple Choice

Write 6,700 in scientific notation.

• 6.7 x 10³
• 6.7 x10^-3
• 67 x 10²
• 67 x 10^-2

Multiple Choice

Write 0.037 in scientific notation.

• 3.7 x 10^-2
• 3.7 x 10²
• 37 x 10^-3
• 37 x 10³

Multiple Choice

Write 0.00000707 in scientific notation.

• 7.07 x 10^-6
• 7.07 x 10⁶
• 707 x 10⁸
• 707 x 10^-8

Multiple Choice

How would you write 50,000 in scientific notation?

• 50 x 10⁵
• 5 x 10⁴
• 5 x 10³
• .5 x 10³

Multiple Choice

The rule of scientific notation is to write all exponents with a base of ____.

• 50
• 5
• 100
• 10

Multiple Choice

What is scientific notation?

• A long way to write really short  numbers
• A short way to write really long numbers
• I don't know...
• None of the above

Multiple Choice

UNDERSTANDING
If the exponent is a positive number...

• you will get a large number
• you will get a smaller number

Multiple Choice

UNDERSTANDING
If the exponent is a negative number...

• you will get a large number
• you will get a small number