Q: How is the number 58,254,875 written in Scientific Notation?
A: 5.8254875 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 58,254,875 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: | 5 | . | 8 | 2 | 5 | 4 | 8 | 7 | 5 |
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 = 5.8254875
b = 7
Now the whole thing:
5.8254875 x 107
Check your work:
107 = 10,000,000 x 5.8254875 = 58,254,875
58,254,873 | 58,254,874 | 58,254,876 | 58,254,877 |
5.8254873 x 107 | 5.8254874 x 107 | 5.8254876 x 107 | 5.8254877 x 107 |