Question

The number 10^55 is how many times the number 2 × 10^11 ?

Select your answer.
5 × 10^45
5 × 10^44
5 × 10^43
5 × 10^5
5 × 10^4

Answer 1

5 × 10^43

Explanation:

we know that

To find out how many times the number 10^55 is greater than the number 2 × 10^11, divide the number 10^55 by the number 2 × 10^11

Remember that

To divide two numbers in scientific notation, divide their coefficients and subtract their exponents

so

`(10^(55))/(2*10^(11))=((1)/(2))((10^(55))/(10^(11)))=0.5*10^((55-11))=0.5*10^(44)`

we have that

`0.5=5*10^(-1)`

substitute

`(5*10^(-1))(10^(44))=5*10^((44-1))=5*10^(43)`