Q: How is the number 172,510 written in Scientific Notation?

 A: 1.7251 x 105

Why is 172,510 written as 1.7251 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 172,510 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: 172,510
  • New Number: 1.72510

Step 2

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

New Number: 1.72510
Decimal Count: 12345

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 = 1.7251 (Please notice any zeroes on the end have been removed)

b = 5

Now the whole thing:

1.7251 x 105

Step 4

Check your work:

105 = 100,000 x 1.7251 = 172,510


More Scientific Notation Examples

172,508172,509172,511172,512
1.72508 x 1051.72509 x 1051.72511 x 1051.72512 x 105

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