Q: How is the number 21,333,442 written in Scientific Notation?

 A: 2.1333442 x 107

Why is 21,333,442 written as 2.1333442 x 107 in scientific notation?

The purpose of scientific notation is for scientists to write very large, or very small, numbers with ease.

Calculating scientific notation for a positive integer is simple, as it always follows this notation:

a x 10b

Follow the steps below to see how 21,333,442 is written in scientific notation.

Step 1

To find a, take the number and move a decimal place to the right one position.

  • Original Number: 21,333,442
  • New Number: 2.1333442

Step 2

Now, to find b, count how many places to the right of the decimal.

New Number: 2.1333442
Decimal Count: 1234567

There are 7 places to the right of the decimal place.

Step 3

Building upon what we know above, we can now reconstruct the number into scientific notation.

Remember, the notation is: a x 10b

a = 2.1333442

b = 7

Now the whole thing:

2.1333442 x 107

Step 4

Check your work:

107 = 10,000,000 x 2.1333442 = 21,333,442


More Scientific Notation Examples

21,333,44021,333,44121,333,44321,333,444
2.133344 x 1072.1333441 x 1072.1333443 x 1072.1333444 x 107

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