Q: How is the number 335,431,524 written in Scientific Notation?

 A: 3.35431524 x 108

Why is 335,431,524 written as 3.35431524 x 108 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 335,431,524 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: 335,431,524
  • New Number: 3.35431524

Step 2

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

New Number: 3.35431524
Decimal Count: 12345678

There are 8 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 = 3.35431524

b = 8

Now the whole thing:

3.35431524 x 108

Step 4

Check your work:

108 = 100,000,000 x 3.35431524 = 335,431,524


More Scientific Notation Examples

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3.35431522 x 1083.35431523 x 1083.35431525 x 1083.35431526 x 108

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