# 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 . 6 4 6 5 Decimal Count: 1 2 3 4

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

104 = 10,000 x 5.6465 = 56,465

### More Scientific Notation Examples

 56,463 56,464 56,466 56,467 5.6463 x 104 5.6464 x 104 5.6466 x 104 5.6467 x 104

### Explore more about the number 56,465:

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