Add these measurements, giving your answer in mm: 90 cm + 50 mm + 3.25 cm * (1 Point) Enter your answer
The Correct Answer and Explanation is:
Let us solve the problem step by step.
The task is to add the following measurements and give the answer in millimeters:
90 cm plus 50 mm plus 3.25 cm
First, convert all measurements to millimeters.
Since 1 centimeter equals 10 millimeters, convert 90 centimeters and 3.25 centimeters to millimeters.
90 cm multiplied by 10 gives 900 mm.
3.25 cm multiplied by 10 gives 32.5 mm.
The 50 mm measurement is already in millimeters and does not need conversion.
Now add all values in millimeters.
900 mm plus 50 mm equals 950 mm.
950 mm plus 32.5 mm equals 982.5 mm.
Therefore, the correct answer is 982.5 mm.
Here is a detailed explanation.
Unit conversion ensures that all measurements are expressed in the same unit before addition. Mixing units like centimeters and millimeters without conversion leads to incorrect results.
Starting with the largest unit, 90 centimeters converts easily to millimeters by multiplying by ten, giving 900 millimeters. The smaller measurement of 3.25 centimeters converts similarly, resulting in 32.5 millimeters.
The value of 50 millimeters does not require any conversion because it is already expressed in the desired unit.
Once all values are in millimeters, simple arithmetic adds them together. Begin by adding 900 millimeters and 50 millimeters to get 950 millimeters. Then add the remaining 32.5 millimeters to obtain a final total of 982.5 millimeters.
Precision is important in unit conversion and addition to avoid rounding errors or miscalculations. The final answer retains the decimal fraction since one of the measurements includes a decimal.
This approach applies universally whenever measurements in different units must be combined. Always convert to the same unit first, then proceed with addition or subtraction.
