Q: How is the number 511,313 written in Scientific Notation?

 A: 5.11313 x 105

Why is 511,313 written as 5.11313 x 105 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 511,313 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: 511,313
  • New Number: 5.11313

Step 2

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

New Number: 5.11313
Decimal Count: 12345

There are 5 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 = 5.11313

b = 5

Now the whole thing:

5.11313 x 105

Step 4

Check your work:

105 = 100,000 x 5.11313 = 511,313


More Scientific Notation Examples

511,311511,312511,314511,315
5.11311 x 1055.11312 x 1055.11314 x 1055.11315 x 105

Explore more about the number 511,313:


Ask a Question