Q: How is the number 846,175 written in Scientific Notation?

 A: 8.46175 x 105

Why is 846,175 written as 8.46175 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 846,175 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: 846,175
  • New Number: 8.46175

Step 2

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

New Number: 8.46175
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 = 8.46175

b = 5

Now the whole thing:

8.46175 x 105

Step 4

Check your work:

105 = 100,000 x 8.46175 = 846,175


More Scientific Notation Examples

846,173846,174846,176846,177
8.46173 x 1058.46174 x 1058.46176 x 1058.46177 x 105

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