Q: How is the number 604,649 written in Scientific Notation?

 A: 6.04649 x 105

Why is 604,649 written as 6.04649 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 604,649 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: 604,649
  • New Number: 6.04649

Step 2

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

New Number: 6.04649
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 = 6.04649

b = 5

Now the whole thing:

6.04649 x 105

Step 4

Check your work:

105 = 100,000 x 6.04649 = 604,649


More Scientific Notation Examples

604,647604,648604,650604,651
6.04647 x 1056.04648 x 1056.0465 x 1056.04651 x 105

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