Q: How is the number 513,105,316 written in Scientific Notation?

 A: 5.13105316 x 108

Why is 513,105,316 written as 5.13105316 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 513,105,316 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: 513,105,316
  • New Number: 5.13105316

Step 2

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

New Number: 5.13105316
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 = 5.13105316

b = 8

Now the whole thing:

5.13105316 x 108

Step 4

Check your work:

108 = 100,000,000 x 5.13105316 = 513,105,316


More Scientific Notation Examples

513,105,314513,105,315513,105,317513,105,318
5.13105314 x 1085.13105315 x 1085.13105317 x 1085.13105318 x 108

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