Q: How is the number 96,294,146 written in Scientific Notation?
A: 9.6294146 x 107
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 96,294,146 is written in scientific notation.
To find a, take the number and move a decimal place to the right one position.
Now, to find b, count how many places to the right of the decimal.
New Number: | 9 | . | 6 | 2 | 9 | 4 | 1 | 4 | 6 |
Decimal Count: | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
There are 7 places to the right of the decimal place.
Building upon what we know above, we can now reconstruct the number into scientific notation.
Remember, the notation is: a x 10b
a = 9.6294146
b = 7
Now the whole thing:
9.6294146 x 107
Check your work:
107 = 10,000,000 x 9.6294146 = 96,294,146
96,294,144 | 96,294,145 | 96,294,147 | 96,294,148 |
9.6294144 x 107 | 9.6294145 x 107 | 9.6294147 x 107 | 9.6294148 x 107 |