# Q: How is the number 456 written in Scientific Notation?

A: 4.56 x 102

## Why is 456 written as 4.56 x 102 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 456 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: 456
• New Number: 4.56

### Step 2

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

 New Number: 4 . 5 6 Decimal Count: 1 2

There are 2 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 = 4.56

b = 2

Now the whole thing:

4.56 x 102

### Step 4

102 = 100 x 4.56 = 456

### More Scientific Notation Examples

 454 455 457 458 4.54 x 102 4.55 x 102 4.57 x 102 4.58 x 102

### Explore more about the number 456:

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