Q: How is the number 535,142,062 written in Scientific Notation?

 A: 5.35142062 x 108

Why is 535,142,062 written as 5.35142062 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 535,142,062 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: 535,142,062
  • New Number: 5.35142062

Step 2

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

New Number: 5.35142062
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 = 5.35142062

b = 8

Now the whole thing:

5.35142062 x 108

Step 4

Check your work:

108 = 100,000,000 x 5.35142062 = 535,142,062


More Scientific Notation Examples

535,142,060535,142,061535,142,063535,142,064
5.3514206 x 1085.35142061 x 1085.35142063 x 1085.35142064 x 108

Explore more about the number 535,142,062:


Ask a Question