Q: How is the number 38,249,147 written in Scientific Notation?

 A: 3.8249147 x 107

Why is 38,249,147 written as 3.8249147 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 38,249,147 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: 38,249,147
  • New Number: 3.8249147

Step 2

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

New Number: 3.8249147
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 = 3.8249147

b = 7

Now the whole thing:

3.8249147 x 107

Step 4

Check your work:

107 = 10,000,000 x 3.8249147 = 38,249,147


More Scientific Notation Examples

38,249,14538,249,14638,249,14838,249,149
3.8249145 x 1073.8249146 x 1073.8249148 x 1073.8249149 x 107

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