Q: How is the number 613,433 written in Scientific Notation?

 A: 6.13433 x 105

Why is 613,433 written as 6.13433 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 613,433 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: 613,433
  • New Number: 6.13433

Step 2

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

New Number: 6.13433
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 = 6.13433

b = 5

Now the whole thing:

6.13433 x 105

Step 4

Check your work:

105 = 100,000 x 6.13433 = 613,433


More Scientific Notation Examples

613,431613,432613,434613,435
6.13431 x 1056.13432 x 1056.13434 x 1056.13435 x 105

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