Q: How is the number 56,465 written in Scientific Notation?

 A: 5.6465 x 104

Why is 56,465 written as 5.6465 x 104 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 56,465 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: 56,465
  • New Number: 5.6465

Step 2

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

New Number: 5.6465
Decimal Count: 1234

There are 4 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 = 5.6465

b = 4

Now the whole thing:

5.6465 x 104

Step 4

Check your work:

104 = 10,000 x 5.6465 = 56,465

More Scientific Notation Examples

5.6463 x 1045.6464 x 1045.6466 x 1045.6467 x 104

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