Find the quotient of the first factors of 1.8x10^5/9x10^-2. State if the quotient of the first factors is greater than 1 or 10. What do you notice? Find the quotient. Use pencil and paper. How does this affect the exponent of the quotient?
To find the quotient of the first factors of 1.8x10^5/9x10^-2, we divide 1.8 by 9 which equals 0.2.
0.2 is greater than 0.1 but less than 1. Therefore, the quotient of the first factors is greater than 0.1 but less than 1.
Now let's find the quotient of the entire expression:
(1.8x10^5) / (9x10^-2)
= (1.8 / 9) * 10^(5 - (-2))
= 0.2 * 10^7
= 0.2 * 10,000,000
= 2,000,000
The exponent of the quotient is now 7, as multiplying by 10^7 increases the exponent by 7 compared to the original expression.