# Q: How is the number 845,124 written in Scientific Notation?

A: 8.45124 x 105

## Why is 845,124 written as 8.45124 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 845,124 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: 845,124
• New Number: 8.45124

### Step 2

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

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

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 = 8.45124

b = 5

Now the whole thing:

8.45124 x 105

### Step 4

105 = 100,000 x 8.45124 = 845,124

### More Scientific Notation Examples

 845,122 845,123 845,125 845,126 8.45122 x 105 8.45123 x 105 8.45125 x 105 8.45126 x 105

### Explore more about the number 845,124:

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