# Q: How is the number 123,456,789 written in Scientific Notation?

A: 1.23456789 x 108

## Why is 123,456,789 written as 1.23456789 x 108 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 123,456,789 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: 123,456,789
• New Number: 1.23456789

### Step 2

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

 New Number: 1 . 2 3 4 5 6 7 8 9 Decimal Count: 1 2 3 4 5 6 7 8

There are 8 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 = 1.23456789

b = 8

Now the whole thing:

1.23456789 x 108

### Step 4

108 = 100,000,000 x 1.23456789 = 123,456,789

### More Scientific Notation Examples

 123,456,787 123,456,788 123,456,790 123,456,791 1.23456787 x 108 1.23456788 x 108 1.2345679 x 108 1.23456791 x 108

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