Q: How is the number 587,465 written in Scientific Notation?

 A: 5.87465 x 105

Why is 587,465 written as 5.87465 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 587,465 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: 587,465
  • New Number: 5.87465

Step 2

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

New Number: 5.87465
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 = 5.87465

b = 5

Now the whole thing:

5.87465 x 105

Step 4

Check your work:

105 = 100,000 x 5.87465 = 587,465


More Scientific Notation Examples

587,463587,464587,466587,467
5.87463 x 1055.87464 x 1055.87466 x 1055.87467 x 105

Explore more about the number 587,465:


Ask a Question