Q: How is the number 35,932,138 written in Scientific Notation?

 A: 3.5932138 x 107

Why is 35,932,138 written as 3.5932138 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 35,932,138 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: 35,932,138
  • New Number: 3.5932138

Step 2

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

New Number: 3.5932138
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 = 3.5932138

b = 7

Now the whole thing:

3.5932138 x 107

Step 4

Check your work:

107 = 10,000,000 x 3.5932138 = 35,932,138


More Scientific Notation Examples

35,932,13635,932,13735,932,13935,932,140
3.5932136 x 1073.5932137 x 1073.5932139 x 1073.593214 x 107

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