Q: How is the number 149,767,417 written in Scientific Notation?

 A: 1.49767417 x 108

Why is 149,767,417 written as 1.49767417 x 108 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 149,767,417 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: 149,767,417
  • New Number: 1.49767417

Step 2

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

New Number: 1.49767417
Decimal Count: 12345678

There are 8 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 = 1.49767417

b = 8

Now the whole thing:

1.49767417 x 108

Step 4

Check your work:

108 = 100,000,000 x 1.49767417 = 149,767,417


More Scientific Notation Examples

149,767,415149,767,416149,767,418149,767,419
1.49767415 x 1081.49767416 x 1081.49767418 x 1081.49767419 x 108

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