Q: How is the number 65,442,638 written in Scientific Notation?

 A: 6.5442638 x 107

Why is 65,442,638 written as 6.5442638 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 65,442,638 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: 65,442,638
  • New Number: 6.5442638

Step 2

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

New Number: 6.5442638
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 = 6.5442638

b = 7

Now the whole thing:

6.5442638 x 107

Step 4

Check your work:

107 = 10,000,000 x 6.5442638 = 65,442,638


More Scientific Notation Examples

65,442,63665,442,63765,442,63965,442,640
6.5442636 x 1076.5442637 x 1076.5442639 x 1076.544264 x 107

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