Q: How is the number 2,137,158 written in Scientific Notation?

 A: 2.137158 x 106

Why is 2,137,158 written as 2.137158 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 2,137,158 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: 2,137,158
  • New Number: 2.137158

Step 2

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

New Number: 2.137158
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 = 2.137158

b = 6

Now the whole thing:

2.137158 x 106

Step 4

Check your work:

106 = 1,000,000 x 2.137158 = 2,137,158


More Scientific Notation Examples

2,137,1562,137,1572,137,1592,137,160
2.137156 x 1062.137157 x 1062.137159 x 1062.13716 x 106

Explore more about the number 2,137,158:


Ask a Question