Q: How is the number 738,861,433 written in Scientific Notation?

 A: 7.38861433 x 108

Why is 738,861,433 written as 7.38861433 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 738,861,433 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: 738,861,433
  • New Number: 7.38861433

Step 2

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

New Number: 7.38861433
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 = 7.38861433

b = 8

Now the whole thing:

7.38861433 x 108

Step 4

Check your work:

108 = 100,000,000 x 7.38861433 = 738,861,433


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738,861,431738,861,432738,861,434738,861,435
7.38861431 x 1087.38861432 x 1087.38861434 x 1087.38861435 x 108

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