Q: How is the number 524,332,440 written in Scientific Notation?

 A: 5.2433244 x 108

Why is 524,332,440 written as 5.2433244 x 108 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 524,332,440 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: 524,332,440
  • New Number: 5.24332440

Step 2

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

New Number: 5.24332440
Decimal Count: 12345678

There are 8 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 = 5.2433244 (Please notice any zeroes on the end have been removed)

b = 8

Now the whole thing:

5.2433244 x 108

Step 4

Check your work:

108 = 100,000,000 x 5.2433244 = 524,332,440


More Scientific Notation Examples

524,332,438524,332,439524,332,441524,332,442
5.24332438 x 1085.24332439 x 1085.24332441 x 1085.24332442 x 108

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