
Rahul bought 4 kg 90 g of apples, 2 kg 60 g of grapes and 5 kg 300 g mangoes. Find the total weight of all the fruits he bought.
Answer
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Hint: Here, we are required to find the total weight of all the fruits bought by Rahul. Hence, we would add all the similar terms together to solve this question. And, to answer in one single term, we would covert the other into decimal form and get our required answer.
Complete step-by-step answer:
Total weight of apples $ = $4 kg 90 g
Total weight of grapes $ = $2 kg 60 g
Total weight of mangoes $ = $5 kg 300 g
Now, we are required to find the total weight of all the fruits he bought.
Hence, we would add all the three weights together.
Hence, total weight $ = $(4 kg 90 g) $ + $(2 kg 60 g) $ + $(5 kg 300 g)
Adding all the kilograms and grams separately, we get,
Total weight $ = $(4 kg $ + $2 kg $ + $5 kg) $ + $(90 g $ + $60 g $ + $300 g)
$ = $11 kg $ + $450 g
Hence, we can write this as:
Total weight $ = $11 kg 450 g ………………………….$\left( 1 \right)$
Now, as we know, 1 kg $ = $ 1000 g
Hence, dividing both sides by 1000, we get,
1 g$ = $$\dfrac{1}{{1000}}$kg
Multiplying both sides by 450, we get,
450 g$ = $$\dfrac{{450}}{{1000}}$kg
Converting this fraction into decimal,
Since there are 3 zeros in the denominator, hence, the decimal point would shift three digits towards the left of the numeration.
Hence,
450 g$ = $0.450 kg
Therefore, from equation $\left( 1 \right)$ ,
Total weight $ = $11 kg 450 g
$ = $11 $ + $0.450 kg
$ = $11.450 kg
Hence, the total weight of all the fruits he bought is 11.450 kg .
Note: In order to answer this question, we should add all the like terms together. And, we should know how to convert grams into kilograms so that we could write it in decimal form. This question tests our knowledge about how to convert fractions into decimals and how to give our answer in one single quantity.
Complete step-by-step answer:
Total weight of apples $ = $4 kg 90 g
Total weight of grapes $ = $2 kg 60 g
Total weight of mangoes $ = $5 kg 300 g
Now, we are required to find the total weight of all the fruits he bought.
Hence, we would add all the three weights together.
Hence, total weight $ = $(4 kg 90 g) $ + $(2 kg 60 g) $ + $(5 kg 300 g)
Adding all the kilograms and grams separately, we get,
Total weight $ = $(4 kg $ + $2 kg $ + $5 kg) $ + $(90 g $ + $60 g $ + $300 g)
$ = $11 kg $ + $450 g
Hence, we can write this as:
Total weight $ = $11 kg 450 g ………………………….$\left( 1 \right)$
Now, as we know, 1 kg $ = $ 1000 g
Hence, dividing both sides by 1000, we get,
1 g$ = $$\dfrac{1}{{1000}}$kg
Multiplying both sides by 450, we get,
450 g$ = $$\dfrac{{450}}{{1000}}$kg
Converting this fraction into decimal,
Since there are 3 zeros in the denominator, hence, the decimal point would shift three digits towards the left of the numeration.
Hence,
450 g$ = $0.450 kg
Therefore, from equation $\left( 1 \right)$ ,
Total weight $ = $11 kg 450 g
$ = $11 $ + $0.450 kg
$ = $11.450 kg
Hence, the total weight of all the fruits he bought is 11.450 kg .
Note: In order to answer this question, we should add all the like terms together. And, we should know how to convert grams into kilograms so that we could write it in decimal form. This question tests our knowledge about how to convert fractions into decimals and how to give our answer in one single quantity.
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