What is 15% of a restaurant check for $65. 12? Explain how you calculated your answer. Round your answer to the nearest hundredth
The Correct Answer and Explanation is :
To calculate 15% of a restaurant check for $65.12, you follow these steps:
- Convert the percentage to a decimal:
To convert 15% into a decimal, divide it by 100. This gives:
[
15\% = \frac{15}{100} = 0.15
] - Multiply the amount by the decimal:
To find 15% of $65.12, multiply the total bill by 0.15:
[
65.12 \times 0.15 = 9.768
] - Round the result to the nearest hundredth:
The result from the multiplication is $9.768. To round to the nearest hundredth (two decimal places), look at the third digit after the decimal point, which is 8. Since it is greater than 5, you round the second decimal place up from 6 to 7. This gives:
[
9.768 \approx 9.77
]
Thus, 15% of $65.12 is $9.77.
Explanation:
When calculating percentages, the basic formula is:
[
\text{Percentage amount} = \text{Original amount} \times \text{Percentage as a decimal}
]
In this case, the original amount is the restaurant check total of $65.12, and the percentage is 15%, which we convert to 0.15.
Next, you multiply the original amount by the decimal form of the percentage to get the amount you need to tip (in this case, $9.768). After performing the multiplication, you round the result to two decimal places because financial transactions typically use two decimal places.
Rounding is done by checking the digit in the third decimal place. If it is 5 or higher, you round up the second decimal place by 1. If it is less than 5, you leave the second decimal place unchanged.
Therefore, the correct tip amount is $9.77 after rounding.