Question
Answers

Add 17 kg, 13 kg 940 g and 15 kg 65 g
A. 40 kg 65 g
B. 4 kg 650 g
C. 46 kg 50 g
D. 46 kg 5 g

Answer Verified Verified
Hint: Mass is commonly measured by how much something weighs. In the metric system of measurement, the most common units of mass are the gram and kilogram.
Rules of addition/ subtraction are as follows:
1. Write the numbers to be added/subtracted in vertical form.
2. While adding/subtracting units write them in separate columns, i.e., ‘kg’ and ‘g’ to be written in
     separate columns.
3. Finally, adding/subtracting as usual.
To convert kilograms into grams, multiply the given measure in kilograms by 1000 and write the unit gram (g) after it.
$1kg = 1000g$
To convert the grams into kilograms and grams, the last 3 digits from the right represent the number of grams and the rest of the digits represent the number of kilograms. For eg:
7216 g = 7 kg 216 g

Complete step by step solution: We have to add the terms 17 kg, 13 kg 940 g and 15 kg 65 g
We will arrange all the terms into column and add them

Therefore, the sum is 45 kg 1005 g
Now, $1kg = 1000 g$ so we can convert 1005 g into kg
We can write 1005 g as
$\begin{gathered}
  1005g = 1000g + 005g \\
  1005g = 1kg + 5g \\
  \therefore 1005g = 1kg5g \\
\end{gathered} $
Therefore, 45 kg 1005 g will be equal to 46 kg 5 g
Hence, the sum is 46 kg 5 g
∴Option (D) is correct

Note: 1. To convert kilograms to grams we have to multiply the number of kilograms by 1000 and to convert grams to kilograms we divide the number of grams by 1000.