Q: How is the number 10,210,200 written in Scientific Notation?

 A: 1.02102 x 107

Why is 10,210,200 written as 1.02102 x 107 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 10,210,200 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: 10,210,200
  • New Number: 1.0210200

Step 2

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

New Number: 1.0210200
Decimal Count: 1234567

There are 7 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 = 1.02102 (Please notice any zeroes on the end have been removed)

b = 7

Now the whole thing:

1.02102 x 107

Step 4

Check your work:

107 = 10,000,000 x 1.02102 = 10,210,200


More Scientific Notation Examples

10,210,19810,210,19910,210,20110,210,202
1.0210198 x 1071.0210199 x 1071.0210201 x 1071.0210202 x 107

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