
The Correct Answer and Explanation is:
Here are the correct answers to the conversion problems shown in the image:
15 kg = 33 lbs
30 kg = 66 lbs
10 kg = 22 lbs
Explanation
The task presented in the image is to convert measurements of mass from kilograms (kg) to pounds (lbs). Kilograms are a standard unit of mass in the metric system, used globally in science and in most countries for everyday measurements. Pounds are a unit of mass primarily used in the imperial and United States customary systems. To perform this conversion accurately, one must use the correct conversion factor.
The key relationship between these two units is that one kilogram is equivalent to approximately 2.20462 pounds. However, for most everyday calculations and educational exercises like the one pictured, this number is commonly rounded to 2.2 for simplicity. This approximation is very close to the true value and makes mental math or simple calculations much easier. The conversion process involves a single mathematical step: multiplying the number of kilograms by this conversion factor.
We can apply this simple multiplication to solve each problem on the worksheet.
For the first problem, we need to convert 15 kilograms to pounds. We multiply the mass in kilograms by our conversion factor:
15 kg × 2.2 lbs/kg = 33 lbs.
For the second problem, we convert 30 kilograms. Using the same method:
30 kg × 2.2 lbs/kg = 66 lbs.
An alternative way to verify this is to notice that 30 kilograms is exactly double 15 kilograms. Therefore, the equivalent weight in pounds should also be double, which it is: 33 lbs × 2 = 66 lbs.
For the third and final problem, we convert 10 kilograms:
10 kg × 2.2 lbs/kg = 22 lbs.
By applying this consistent conversion factor, we can confidently fill in the blanks. This skill is useful for anyone needing to interpret specifications or measurements from different regions, such as when traveling, cooking from an international recipe, or comparing product weights.
