Q: How is the number 151,163,557 written in Scientific Notation?
A: 1.51163557 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 151,163,557 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: | 1 | . | 5 | 1 | 1 | 6 | 3 | 5 | 5 | 7 |
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 = 1.51163557
b = 8
Now the whole thing:
1.51163557 x 108
Check your work:
108 = 100,000,000 x 1.51163557 = 151,163,557
151,163,555 | 151,163,556 | 151,163,558 | 151,163,559 |
1.51163555 x 108 | 1.51163556 x 108 | 1.51163558 x 108 | 1.51163559 x 108 |