Q: How is the number 6,416,538 written in Scientific Notation?

 A: 6.416538 x 106

Why is 6,416,538 written as 6.416538 x 106 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 6,416,538 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: 6,416,538
  • New Number: 6.416538

Step 2

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

New Number: 6.416538
Decimal Count: 123456

There are 6 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 = 6.416538

b = 6

Now the whole thing:

6.416538 x 106

Step 4

Check your work:

106 = 1,000,000 x 6.416538 = 6,416,538


More Scientific Notation Examples

6,416,5366,416,5376,416,5396,416,540
6.416536 x 1066.416537 x 1066.416539 x 1066.41654 x 106

Explore more about the number 6,416,538:


Ask a Question