Q: How is the number 145,814 written in Scientific Notation?

 A: 1.45814 x 105

Why is 145,814 written as 1.45814 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 145,814 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: 145,814
  • New Number: 1.45814

Step 2

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

New Number: 1.45814
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 = 1.45814

b = 5

Now the whole thing:

1.45814 x 105

Step 4

Check your work:

105 = 100,000 x 1.45814 = 145,814


More Scientific Notation Examples

145,812145,813145,815145,816
1.45812 x 1051.45813 x 1051.45815 x 1051.45816 x 105

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