Question
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?
Answers
GPT 3.5
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.
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.