Final answer:
To estimate the product of 8 and 11, one may round to the nearest ten, giving an estimation of 110, while the actual product is 88. Converting percentage to decimal is necessary for calculations involving percentages, and calculating probability is essential in statistics.
Step-by-step explanation:
Estimating and Calculating Products
The task given is two-fold and includes both an estimation component and a calculation component in Mathematics. The process to estimate the product of 8 and 11 would be to either round the numbers to the nearest ten or to use them as they are given the simplicity of the numbers involved. For a rough estimate, you could round 8 to 10 and 11 remains the same, so the estimated product is 110. However, for actual multiplication, the product of 8 and 11 is 88. To confirm the reasonableness of the result, we check if it makes sense: 10 times 11 would indeed be 110, which is close to our precise answer of 88, showing that our estimation and calculation are reasonable.
When performing calculations involving percentage, such as adding sales tax, it's essential to convert the percentage to a decimal. For example, to find the amount of sales tax on a total of $20.98, if the sales tax rate is 6%, you convert 6% to 0.06 and multiply it by $20.98 to get the sales tax amount. This process ensures that you obtain numerical solutions complete with units, which are meaningful in a real-world context.
Regarding probabilities, such as finding the likelihood that a randomly selected person used a product 11 to 20 times a day, it's crucial to use the data provided to calculate the probability which is a fundamental aspect of statistics in Mathematics.