Q: How is the number 53,438,638 written in Scientific Notation?

 A: 5.3438638 x 107

Why is 53,438,638 written as 5.3438638 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 53,438,638 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: 53,438,638
  • New Number: 5.3438638

Step 2

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

New Number: 5.3438638
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 = 5.3438638

b = 7

Now the whole thing:

5.3438638 x 107

Step 4

Check your work:

107 = 10,000,000 x 5.3438638 = 53,438,638


More Scientific Notation Examples

53,438,63653,438,63753,438,63953,438,640
5.3438636 x 1075.3438637 x 1075.3438639 x 1075.343864 x 107

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