# Q: How is the number 542,163 written in Scientific Notation?

A: 5.42163 x 105

## Why is 542,163 written as 5.42163 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 542,163 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: 542,163
• New Number: 5.42163

### Step 2

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

 New Number: 5 . 4 2 1 6 3 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 = 5.42163

b = 5

Now the whole thing:

5.42163 x 105

### Step 4

105 = 100,000 x 5.42163 = 542,163

### More Scientific Notation Examples

 542,161 542,162 542,164 542,165 5.42161 x 105 5.42162 x 105 5.42164 x 105 5.42165 x 105

### Explore more about the number 542,163:

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