Q: How is the number 305,877,251 written in Scientific Notation?

 A: 3.05877251 x 108

Why is 305,877,251 written as 3.05877251 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 305,877,251 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: 305,877,251
  • New Number: 3.05877251

Step 2

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

New Number: 3.05877251
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 = 3.05877251

b = 8

Now the whole thing:

3.05877251 x 108

Step 4

Check your work:

108 = 100,000,000 x 3.05877251 = 305,877,251


More Scientific Notation Examples

305,877,249305,877,250305,877,252305,877,253
3.05877249 x 1083.0587725 x 1083.05877252 x 1083.05877253 x 108

Explore more about the number 305,877,251:


Ask a Question