Scientific Notation Basics

Scientific Notation

Scientific Notation is a way to write very large and small numbers using powers of 10.

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Scientific Notation

​The larger the exponent, the bigger the number.

Multiple Choice

If the exponent on the power of 10 is a positive number...

• you will get a large number that is greater than 1

• you will get a smaller number that is less than 1

Multiple Choice

Which of the following numbers is written in correct scientific notation?

• $$64.2\cdot10^2$$  

• $$6.42\cdot10^3$$  

• $$0.642\cdot10^4$$  

• $$6240$$  

Multiple Choice

Which of these numbers is the smallest?

• 3.5 x10⁷

• 3 x10⁸

• 5 x10⁷

• 5.5 x10⁶

Dropdown

To compare two numbers that are in scientific notation, first compare the​

Select answer

. If they are the same, then compare the​

Select answer

.​

Multiple Choice

Which of these numbers is the greatest?

• 9 x 10⁹

• 8.1 x10¹⁰

• 9.02 x10⁹

• 6.35 x10¹⁰

For any numbers that are less than 1, we write the number using a positive power of 10​.

The larger the number, the greater the exponent.

Scientific Notation: How to

For any numbers that are greater than 1, we write the number using a positive power of 10​.

The larger the number, the greater the exponent.

Scientific Notation: How to

Multiple Choice

How is the following number written in scientific notation?

450,000

• 4.5  x  10⁵

• 45  x  10⁵

• 4.5  x  10⁴

• 4.5  x  10⁶

Multiple Choice

How is the number below written in scientific notation?

0.000398

• 39.8  x  10^-5

• 3.98  x  10^-5

• 3.98  x  10^-4

• 39.8  x  10^-6

Multiple Choice

Which of the following is the correct way to write 3.97  x  10^-2 in standard form?

• 0.000397

• 0.0397

• 0.0000397

• 0.397

Multiple Choice

Which is the correct way to write the number 3.5 x 10⁶  in standard notation?

• 0.0000035

• 35,000,000

• 3,500,000

• 0.00000035