Adam has a mass of 37.5 kilograms. Cole has a mass of 34.56 kilograms. Grace has a mass of 35 kilograms 65 grams. What is their combined mass in kilograms and grams?
Understand the Problem
The question asks to calculate the combined mass of Adam, Cole, and Grace. Adam's mass is 37.5 kg, Cole's is 34.56 kg, and Grace's is 35 kg and 65 grams. The final answer should be expressed in kilograms and grams.
Answer
107 kilograms and 125 grams.
Answer for screen readers
107 kilograms and 125 grams.
Steps to Solve
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Convert Grace's mass entirely to kilograms Since 1 kilogram is equal to 1000 grams, 65 grams is equal to $65/1000 = 0.065$ kilograms. Therefore, Grace's mass in kilograms is $35 + 0.065 = 35.065$ kg.
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Add the masses of Adam, Cole, and Grace in kilograms Add their masses: $37.5 + 34.56 + 35.065 = 107.125$ kg.
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Separate the whole number part and the decimal part
The whole number part represents the kilograms and the decimal part represents the fraction of a kilogram, which can be converted to grams. The total mass is 107 kg and 0.125 kg.
- Convert the decimal part of the mass (kilograms) to grams
Multiply the decimal part by 1000 to convert it to grams: $0.125 \times 1000 = 125$ grams.
- State the final answer in kilograms and grams
The combined mass is 107 kilograms and 125 grams.
107 kilograms and 125 grams.
More Information
The metric system is a decimal system, meaning conversions between units are based on powers of 10, which simplifies calculations.
Tips
A common mistake is to forget to convert Grace's mass entirely into kilograms before adding. Another mistake could be in the addition of the decimal numbers. Make sure to align the decimal points when adding.
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