Q: How is the number 2,170,148 written in Scientific Notation?

 A: 2.170148 x 106

Why is 2,170,148 written as 2.170148 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 2,170,148 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: 2,170,148
  • New Number: 2.170148

Step 2

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

New Number: 2.170148
Decimal Count: 123456

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 = 2.170148

b = 6

Now the whole thing:

2.170148 x 106

Step 4

Check your work:

106 = 1,000,000 x 2.170148 = 2,170,148


More Scientific Notation Examples

2,170,1462,170,1472,170,1492,170,150
2.170146 x 1062.170147 x 1062.170149 x 1062.17015 x 106

Explore more about the number 2,170,148:


Ask a Question