What is 45,760,000 written in scientific notation?

4.576 x 10^7

Step-by-step 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:4.5760000

Decimal Count:  1234567

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