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Express as decimals: $7$ rupees $7$ paise (in rupees)

Last updated date: 04th Aug 2024
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Hint:
To solve the above question, we need to use the conversion of one rupee into the equivalent amount of paise. Here, we will first convert the paise into rupees by multiplying it with the conversion factor. We will then add the converted paisa with rupees part to get the required answer.

Complete step by step solution:
We know that one rupee is equal to one hundred paise, that is,
$1$ rupee $= 100$ paise
Dividing both the sides by $100$ we get
$\Rightarrow \dfrac{1}{{100}}$ rupees = $1$ paise
Or
$\Rightarrow 1$ paise $= \dfrac{1}{{100}}$ rupees
$\Rightarrow 1$ paise $= 0.01$ rupees
Now, according to the question the given amount is $7$ rupees $7$ paise. For converting the given amount in rupees, we need to write the $7$ paise into rupees using the above conversion. Therefore, multiplying the above equation by $7$, we get
$\Rightarrow 7$ paise $= 0.07$ rupees.
So, the given amount now becomes $7$ rupees and $0.07$ rupees. Now we will add both the quantity to get the required answer. Therefore, we get
$7 + 0.07 = 7.07$ rupees

Hence, the given amount in the decimal form is expressed as $7.07$ rupees.

Note:
We might make a mistake if we convert the number of rupees in the given amount into paise. This is because we have to express the given amount in the decimal form. The decimal is obtained only when a smaller unit is converted into a larger unit, and since paise is a smaller unit while rupee is a larger unit, we convert paise into rupees. If we had to convert the given amount into a whole number then we would have converted the rupees part into paisa.