Answer:
4.576 x 10^7
Explanation:
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 45,760,000 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: 45,760,000
New Number: 4.5760000
Step 2
Now, to find b, count how many places to the right of the decimal.
New Number: 4 . 5 7 6 0 0 0 0
Decimal Count: 1 2 3 4 5 6 7
There are 7 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 = 4.576 (Please notice any zeroes on the end have been removed)
b = 7
Now the whole thing:
4.576 x 10^7
Step 4
Check your work:
10^7 = 10,000,000 x 4.576 = 45,760,000