Q: How is the number 536,581,835 written in Scientific Notation?

 A: 5.36581835 x 108

Why is 536,581,835 written as 5.36581835 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 536,581,835 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: 536,581,835
  • New Number: 5.36581835

Step 2

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

New Number: 5.36581835
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 = 5.36581835

b = 8

Now the whole thing:

5.36581835 x 108

Step 4

Check your work:

108 = 100,000,000 x 5.36581835 = 536,581,835


More Scientific Notation Examples

536,581,833536,581,834536,581,836536,581,837
5.36581833 x 1085.36581834 x 1085.36581836 x 1085.36581837 x 108

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