Q: How is the number 601,272,658 written in Scientific Notation?

 A: 6.01272658 x 108

Why is 601,272,658 written as 6.01272658 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 601,272,658 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: 601,272,658
  • New Number: 6.01272658

Step 2

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

New Number: 6.01272658
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 = 6.01272658

b = 8

Now the whole thing:

6.01272658 x 108

Step 4

Check your work:

108 = 100,000,000 x 6.01272658 = 601,272,658


More Scientific Notation Examples

601,272,656601,272,657601,272,659601,272,660
6.01272656 x 1086.01272657 x 1086.01272659 x 1086.0127266 x 108

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