What is 70% of 65?
a) 45.5
b) 50.5
c) 65
d) 110.5
The Correct Answer and Explanation is :
To calculate 70% of 65, you can use the formula for percentage calculation:
[
\text{Percentage} = \frac{\text{part}}{\text{whole}} \times 100
]
In this case, you want to find the part that corresponds to 70% of the whole number 65. You can express this mathematically as:
[
\text{Part} = \left(\frac{70}{100}\right) \times 65
]
First, convert 70% to a decimal by dividing by 100:
[
\frac{70}{100} = 0.7
]
Now, multiply this decimal by 65:
[
0.7 \times 65 = 45.5
]
Thus, 70% of 65 is 45.5.
To further understand this calculation, it is helpful to break down the steps. When you are asked to find a percentage of a number, you are essentially determining what portion of that number corresponds to the percentage given. In practical terms, percentages are a way to express a fraction of a whole. In this example, we are interested in finding how much 70% represents in relation to 65.
Percentages can be useful in many real-life situations, such as calculating discounts, determining portions in recipes, or understanding statistical data. In the context of this problem, knowing how to convert percentages into decimal forms simplifies calculations, making it easier to handle various numerical problems.
From the options provided:
a) 45.5
b) 50.5
c) 65
d) 110.5
The correct answer is a) 45.5. This reinforces the importance of understanding basic arithmetic operations and percentage calculations, which are foundational skills in both academic settings and everyday life.