Q: How is the number 114,438 written in Scientific Notation?

 A: 1.14438 x 105

Why is 114,438 written as 1.14438 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 114,438 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: 114,438
  • New Number: 1.14438

Step 2

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

New Number: 1.14438
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 = 1.14438

b = 5

Now the whole thing:

1.14438 x 105

Step 4

Check your work:

105 = 100,000 x 1.14438 = 114,438


More Scientific Notation Examples

114,436114,437114,439114,440
1.14436 x 1051.14437 x 1051.14439 x 1051.1444 x 105

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