Q: How is the number 564,664,537 written in Scientific Notation?

 A: 5.64664537 x 108

Why is 564,664,537 written as 5.64664537 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 564,664,537 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: 564,664,537
  • New Number: 5.64664537

Step 2

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

New Number: 5.64664537
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 = 5.64664537

b = 8

Now the whole thing:

5.64664537 x 108

Step 4

Check your work:

108 = 100,000,000 x 5.64664537 = 564,664,537


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564,664,535564,664,536564,664,538564,664,539
5.64664535 x 1085.64664536 x 1085.64664538 x 1085.64664539 x 108

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