Q: How is the number 400,358,072 written in Scientific Notation?
A: 4.00358072 x 108
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 400,358,072 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: | 4 | . | 0 | 0 | 3 | 5 | 8 | 0 | 7 | 2 |
Decimal Count: | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
There are 8 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 = 4.00358072
b = 8
Now the whole thing:
4.00358072 x 108
Check your work:
108 = 100,000,000 x 4.00358072 = 400,358,072
400,358,070 | 400,358,071 | 400,358,073 | 400,358,074 |
4.0035807 x 108 | 4.00358071 x 108 | 4.00358073 x 108 | 4.00358074 x 108 |