# Q: How is the number 5,874,586 written in Scientific Notation?

A: 5.874586 x 106

## Why is 5,874,586 written as 5.874586 x 106 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 5,874,586 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: 5,874,586
• New Number: 5.874586

### Step 2

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

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

There are 6 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 = 5.874586

b = 6

Now the whole thing:

5.874586 x 106

### Step 4

106 = 1,000,000 x 5.874586 = 5,874,586

### More Scientific Notation Examples

 5,874,584 5,874,585 5,874,587 5,874,588 5.874584 x 106 5.874585 x 106 5.874587 x 106 5.874588 x 106

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