Q: How is the number 461,567,215 written in Scientific Notation?

 A: 4.61567215 x 108

Why is 461,567,215 written as 4.61567215 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 461,567,215 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: 461,567,215
  • New Number: 4.61567215

Step 2

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

New Number: 4.61567215
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 = 4.61567215

b = 8

Now the whole thing:

4.61567215 x 108

Step 4

Check your work:

108 = 100,000,000 x 4.61567215 = 461,567,215


More Scientific Notation Examples

461,567,213461,567,214461,567,216461,567,217
4.61567213 x 1084.61567214 x 1084.61567216 x 1084.61567217 x 108

Explore more about the number 461,567,215:


Ask a Question