Q: How is the number 54,105,830 written in Scientific Notation?

 A: 5.410583 x 107

Why is 54,105,830 written as 5.410583 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 54,105,830 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: 54,105,830
  • New Number: 5.4105830

Step 2

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

New Number: 5.4105830
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 = 5.410583 (Please notice any zeroes on the end have been removed)

b = 7

Now the whole thing:

5.410583 x 107

Step 4

Check your work:

107 = 10,000,000 x 5.410583 = 54,105,830


More Scientific Notation Examples

54,105,82854,105,82954,105,83154,105,832
5.4105828 x 1075.4105829 x 1075.4105831 x 1075.4105832 x 107

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