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Question

Question: How do you convert \(4\) kilocalories to calories?...

How do you convert 44 kilocalories to calories?

Explanation

Solution

To answer this question we should know the conversion factor. To convert the kilocalories to calories we should know the relation between kilocalories and calories. There is a fixed relation which we have to remember always. One kilo is the one thousand of the unit that we are considering. By using the conversion factor or relation between kilocalories and calories we will determine the answer.

Complete step by step answer:
One thousand of the kilocalories is known as calories or we can say one kilocalories is equal to one thousand. So, 44 kilocalories will be equal to,
1\Rightarrow 1 kilocalories = 103{10^3} calories.
4\Rightarrow 4 kilocalories = 4×1034 \times {10^3} calories.
4000\Rightarrow 4000 calories.
So, 40004000 calories are there in 44 kilocalories.

Therefore, 40004000 calories is the correct answer.

Additional information:
- Here, we are converting the unit from kilocalories to calories so this is known as unit conversion. The factor which we use for the unit conversion is known as conversion factor such as here, the conversion factor is multiplication with 103{10^3}.
- When we convert a unit into another, we always multiply with the unit in which we want to convert and divide with the unit which we want to replace.
- Here, we want to replace the kilocalories from calories. So, first we find the relation between kilocalories and calories which is 11 kilocalories = 103{10^3} calories. Then we multiply with 103{10^3} calories because we want our answer in calories and divide with 11 kilocalories because we want to remove the kilocalories. Similarly by knowing the conversion factor we can convert any unit.

Note: The symbol used for the representation of kilocalories is kcal where, k represents the kilo and cal represents the calories. We can also do the vice versa. If we have to calculate the kilocalories from 40004000 calories then,
We know, 103{10^3} calories = 11 kilocalories.
So, 40004000 calories in kilocalories will be,
4000103\Rightarrow \dfrac{{4000}}{{{{10}^3}}}
4\Rightarrow 4.