Q: How is the number 821,407 written in Scientific Notation?

 A: 8.21407 x 105

Why is 821,407 written as 8.21407 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 821,407 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: 821,407
  • New Number: 8.21407

Step 2

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

New Number: 8.21407
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 = 8.21407

b = 5

Now the whole thing:

8.21407 x 105

Step 4

Check your work:

105 = 100,000 x 8.21407 = 821,407


More Scientific Notation Examples

821,405821,406821,408821,409
8.21405 x 1058.21406 x 1058.21408 x 1058.21409 x 105

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