Q: How is the number 137,430 written in Scientific Notation?

 A: 1.3743 x 105

Why is 137,430 written as 1.3743 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 137,430 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: 137,430
  • New Number: 1.37430

Step 2

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

New Number: 1.37430
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 = 1.3743 (Please notice any zeroes on the end have been removed)

b = 5

Now the whole thing:

1.3743 x 105

Step 4

Check your work:

105 = 100,000 x 1.3743 = 137,430


More Scientific Notation Examples

137,428137,429137,431137,432
1.37428 x 1051.37429 x 1051.37431 x 1051.37432 x 105

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