Question

5 × 10 to the power of 22 is how many times greater than 1 × 10 to the power of 21

Answer 1

50 times greater

Explanation:

If there are two numbers A and B, where A is greater than B,

If we want to find how many times greater A is to B, we simply divide, so that would be

A/B

Now, we have

`5*10^(22)`

and

`1*10^(21)`

We simply need to divide to find how much greater is the first number than the second number. Remember dividing numbers in scientific notation:

`(a*10^b)/(c*10^d)\\=((a)/(c))*10^(b-d)`

Thus, we have:

`(5*10^(22))/(1*10^(21))\\=((5)/(1))*10^(22-21)\\=5*10^(1)\\=5*10\\=50`

So the first number is 50 times greater than the second