
If A weighs 43 kg 234 g and B weighs 56 kg 450 g. Then the difference between the weights of A and B is:
(a) 12 kg 811 g
(b) 13 kg 216 g
(c) 13 kg 306 g
(d) 10 kg 216 g
Answer
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Hint: To solve this question, first of all we need to identify the bigger weight and smaller weight. This is important because the weight cannot be negative. As we know, 1000 grams make one kilogram. Thus, we will convert the grams into kilograms and add to the kilogram value. Then, we will subtract smaller weight from bigger weights. Once we find the weight in kilograms, we will convert it back to kilograms and grams.
Complete step-by-step answer:
It is given that A weighs 43 kg 234 g and B weighs 56 kg 450 g.
Thus, we can see that B weighs more than A.
Therefore, to find the difference we will subtract the weight of A from the weight of B.
We know that 1000 g makes 1 kg. Thus, 1g will make 0.001 kg and 234 g will make 0.234 g.
Similarly, 450 g will make 0.450 g.
Therefore, modified weight of A is 43 kg + 0.234 = 43.234 kg
And modified weight of B is 56 kg + 0.450 kg = 56.450 kg
Thus, we will find the difference between 56.450 kg and 43.234 kg.
$ \Rightarrow $ 56.450 – 43.264 = 13.216
Thus, the difference is 13.216 kg. It can be written as 13 kg + 0.216 kg. But we know that 1 kg makes 1000 g. So, 0.216 kg will be 216 g.
Therefore, the difference is 13 kg 216 g.
So, the correct answer is “Option B”.
Note: Students can directly find the difference by first finding the difference between the grams and if necessary, borrowing from the kilograms. But they are advised to be careful in the order of subtraction, for both grams and kilograms will be subtracted in the same direction. From A to B or from B to A.
Complete step-by-step answer:
It is given that A weighs 43 kg 234 g and B weighs 56 kg 450 g.
Thus, we can see that B weighs more than A.
Therefore, to find the difference we will subtract the weight of A from the weight of B.
We know that 1000 g makes 1 kg. Thus, 1g will make 0.001 kg and 234 g will make 0.234 g.
Similarly, 450 g will make 0.450 g.
Therefore, modified weight of A is 43 kg + 0.234 = 43.234 kg
And modified weight of B is 56 kg + 0.450 kg = 56.450 kg
Thus, we will find the difference between 56.450 kg and 43.234 kg.
$ \Rightarrow $ 56.450 – 43.264 = 13.216
Thus, the difference is 13.216 kg. It can be written as 13 kg + 0.216 kg. But we know that 1 kg makes 1000 g. So, 0.216 kg will be 216 g.
Therefore, the difference is 13 kg 216 g.
So, the correct answer is “Option B”.
Note: Students can directly find the difference by first finding the difference between the grams and if necessary, borrowing from the kilograms. But they are advised to be careful in the order of subtraction, for both grams and kilograms will be subtracted in the same direction. From A to B or from B to A.
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