Find the quotient of the first factors of 1.1x10^4/5.5x10^-1. What do you​ notice? Find the quotient. Use pencil and paper. How does this affect the exponent of the​ quotient?

Answer 1

To find the quotient of the first factors of 1.1x10^4 / 5.5x10^-1, we first divide the numerical coefficients:

1.1 / 5.5 = 0.2

Then we divide the exponents of 10:

10^4 / 10^-1 = 10^(4 - (-1)) = 10^5

Therefore, the quotient of the first factors is 0.2 x 10^5.

Upon examining the quotient, we notice that the numerical coefficient is smaller than 1 because 1.1 / 5.5 = 0.2. This is also reflected in the fact that the exponent of the quotient is larger than the exponent of the divisor (10^5 > 10^-1). This affects the overall number, making it larger due to the increase in the exponent.