A pound is approximately 0.45 kilograms. A person weighs 87 kilograms. What is the person’s weight, in pounds, when rounded to the nearest whole number?
The Correct Answer and Explanation is:
To convert the person’s weight from kilograms to pounds, we use the fact that 1 pound is approximately 0.45 kilograms. This means that to convert kilograms to pounds, we divide the weight in kilograms by 0.45.
Given:
- The person’s weight is 87 kilograms.
- 1 pound ≈ 0.45 kilograms.
The formula for conversion is:Weight in pounds=Weight in kilograms0.45\text{Weight in pounds} = \frac{\text{Weight in kilograms}}{0.45}Weight in pounds=0.45Weight in kilograms
Now, substituting the given value:Weight in pounds=870.45=193.33\text{Weight in pounds} = \frac{87}{0.45} = 193.33Weight in pounds=0.4587=193.33
Next, we round the result to the nearest whole number. 193.33 rounds to 193.
Therefore, the person weighs approximately 193 pounds.
Explanation:
This conversion relies on understanding the relationship between kilograms and pounds. Since 1 pound equals 0.45 kilograms, dividing by 0.45 reverses this conversion, giving us the weight in pounds. Rounding the result is a common practice to present a cleaner, more understandable number, especially when dealing with units of measurement like weight.
This method ensures that we get an accurate result without any complex steps, and it’s important to note that in everyday life, such conversions are necessary when switching between different measurement systems like the metric system (kilograms) and the imperial system (pounds).
