Divide 99.06 by 0.8 and round the quotient to the nearest tenth.
99.06 divided by 0.8 is approximately □.
We need to divide \(99.06\) by \(0.8\) and then round the resulting quotient to the nearest tenth. To perform this division, we can express it as a fraction: \[\frac{99.06}{0.8}\] To make the division easier, we can multiply both the numerator and the denominator by \(10\) to eliminate the decimal in the divisor: \[\frac{99.06 \times 10}{0.8 \times 10} = \frac{990.6}{8}\]
Next, we perform the division of \(990.6\) by \(8\). Dividing \(990.6\) by \(8\) gives us: \[\frac{990.6}{8} = 123.825\] This calculation yields a quotient of \(123.825\).
Finally, we round the quotient \(123.825\) to the nearest tenth. The tenths digit is \(8\), and the following digit in the hundredths place is \(2\). Since \(2 < 5\), we keep the tenths digit as it is. Therefore, rounding \(123.825\) to the nearest tenth gives \(123.8\). Thus, \(99.06 \div 0.8 = \boxed{123.8}\).
Dividing numbers with decimals is a fundamental skill in many real-world scenarios. For instance, if you are planning to budget for a large event and have a total budget of \(\$99.06\) to buy units of a specific resource that costs \(\$0.80\) each, dividing the total budget by the cost per unit helps you determine how many units you can purchase. In this case, you find that you can purchase \(123.825\) units, but since you likely cannot buy a fraction of a unit, you would look at the rounded value to understand your purchasing power. Learning to perform and round these calculations ensures that your financial planning and resource management are both accurate and practical.