Scientific Notation

What is scientific notation?

• A long way to write really short numbers

• A short way to write really long numbers

Scientific Notation is made up of two number parts. The Coefficient (the first part) in scientific notation must be...

• Bigger than 0 and smaller than 9

• Greater than or equal to 1 and smaller than 10

• Greater than or equal to 2 and smaller than 10

Which number is correctly written in scientific notation?

Groups:

(a) Correctly Written in Scientific Notation

,

(b) Written Incorrectly in Sci. Notation

Convert to scientific notation:

520,000,000

Label the exponent of the number.

a

c

b

coefficient

Power of 10

Exponent

How do you write 8.317 x 10⁶ in standard form?

• 8,371,000

• 83,170,000

• 837,100

• 8,317,000

Write in scientific notation.

59,000

​ ​ (a)  

• 59.0 x 10⁴

• 5.9 x 10³

• 5.9 x 10⁵

How would you write 564,000,000 in scientific notation?

• 56.4 x 10⁷

• 5.64 x 10⁶

• 5.64 x 10⁸

• 56.4 x 10⁷

When writing a number in scientific notation, the first number must be greater than 1, but less than 10.

• False
• True

What is 9.2 x 10⁴ in standard notation?

• 9,200
• 92,000
• 920,000
• 920