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

Respuesta :

Answer:

5 × 10^43

Step-by-step 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

[tex]\frac{10^{55}}{2*10^{11}}=(\frac{1}{2})(\frac{10^{55}}{10^{11}})=0.5*10^{(55-11)}=0.5*10^{44}[/tex]

we have that

[tex]0.5=5*10^{-1}[/tex]

substitute

[tex](5*10^{-1})(10^{44})=5*10^{(44-1)}=5*10^{43}[/tex]