# Q: How is the number 542,159 written in Scientific Notation?

A: 5.42159 x 105

## Why is 542,159 written as 5.42159 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 542,159 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: 542,159
• New Number: 5.42159

### Step 2

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

 New Number: 5 . 4 2 1 5 9 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 = 5.42159

b = 5

Now the whole thing:

5.42159 x 105

### Step 4

105 = 100,000 x 5.42159 = 542,159

### More Scientific Notation Examples

 542,157 542,158 542,160 542,161 5.42157 x 105 5.42158 x 105 5.4216 x 105 5.42161 x 105

### Explore more about the number 542,159:

General Questions
Factoring Questions
Calculation Questions
Miscellaneous Questions