Q: How is the number 156,778,312 written in Scientific Notation?

 A: 1.56778312 x 108

Why is 156,778,312 written as 1.56778312 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 156,778,312 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: 156,778,312
  • New Number: 1.56778312

Step 2

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

New Number: 1.56778312
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 = 1.56778312

b = 8

Now the whole thing:

1.56778312 x 108

Step 4

Check your work:

108 = 100,000,000 x 1.56778312 = 156,778,312


More Scientific Notation Examples

156,778,310156,778,311156,778,313156,778,314
1.5677831 x 1081.56778311 x 1081.56778313 x 1081.56778314 x 108

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