# Q: How is the number 398,545 written in Scientific Notation?

A: 3.98545 x 105

## Why is 398,545 written as 3.98545 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 398,545 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: 398,545
• New Number: 3.98545

### Step 2

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

 New Number: 3 . 9 8 5 4 5 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 = 3.98545

b = 5

Now the whole thing:

3.98545 x 105

### Step 4

105 = 100,000 x 3.98545 = 398,545

### More Scientific Notation Examples

 398,543 398,544 398,546 398,547 3.98543 x 105 3.98544 x 105 3.98546 x 105 3.98547 x 105

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