How would 0.073 be written in scientific notation?

1 Answer

0.073 would be written as 7.3102

Explanation:

Scientific notation uses multiplication or division of a number by 10s to express a number without taking up too much space.

For example we express large numbers like this:

3000000000=3108

The number above, 300 million, is simply the same as taking 3 and multiplying it by 10 8 times. This is exactly what 108 means. We can interpret the equation above as:

300000000=3×1010101010101010

On the other hand, we can express very small numbers by dividing by ten, as in your example. We tell others that we are dividing by ten by using a negative exponent.

For example:

3102=31010

While

3102=31010

There are some easy tricks to switch numbers between standard and scientific notation. For examples, check out this video: