Question 4:Three Milk Containers Have The Following Capacities:- 1,516 Litres- 1 3 10 1 \frac{3}{10} 1 10 3 ​ Litres- 1 Litre And 45 MillilitresBy Converting All Quantities To Millilitres ( M ℓ M\ell M ℓ ), Justify Which Container Is The Smallest.

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Introduction

When comparing the capacities of three milk containers, it's essential to have a common unit of measurement to accurately determine which container is the smallest. In this case, we have three containers with capacities of 1,516 litres, 13101 \frac{3}{10} litres, and 1 litre and 45 millilitres. To make a fair comparison, we need to convert all quantities to millilitres (mL).

Converting Litres to Millilitres

To convert litres to millilitres, we use the conversion factor: 1 litre = 1,000 millilitres.

Converting 1,516 Litres to Millilitres

1,516 litres = 1,516 x 1,000 millilitres = 1,516,000 millilitres

Converting 13101 \frac{3}{10} Litres to Millilitres

To convert a mixed number to a decimal, we convert the fraction to a decimal and then add the whole number.

13101 \frac{3}{10} = 1 + 0.3 = 1.3 litres

Now, we convert 1.3 litres to millilitres:

1.3 litres = 1.3 x 1,000 millilitres = 1,300 millilitres

Converting 1 Litre and 45 Millilitres to Millilitres

This quantity is already in millilitres, so we don't need to convert it.

Comparing the Capacities

Now that we have all quantities in millilitres, we can compare their capacities.

  • Container 1: 1,516,000 millilitres
  • Container 2: 1,300 millilitres
  • Container 3: 1,045 millilitres

Conclusion

Based on the conversions, we can see that Container 3 has the smallest capacity, with a capacity of 1,045 millilitres. This is because 1,045 millilitres is less than both 1,516,000 millilitres and 1,300 millilitres.

Justification

To justify which container is the smallest, we can use the following reasoning:

  • Container 1 has a capacity of 1,516,000 millilitres, which is much larger than Container 3's capacity of 1,045 millilitres.
  • Container 2 has a capacity of 1,300 millilitres, which is also larger than Container 3's capacity.
  • Therefore, Container 3 has the smallest capacity.

Final Answer

The smallest container is Container 3, with a capacity of 1,045 millilitres.

Additional Information

It's worth noting that when comparing quantities, it's essential to have a common unit of measurement to ensure accuracy. In this case, converting all quantities to millilitres allowed us to make a fair comparison and determine which container is the smallest.

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Introduction

In our previous article, we compared the capacities of three milk containers and determined that Container 3 has the smallest capacity. In this article, we'll answer some frequently asked questions related to the comparison.

Q&A

Q: Why is it essential to have a common unit of measurement when comparing quantities?

A: Having a common unit of measurement is crucial when comparing quantities to ensure accuracy. In this case, we converted all quantities to millilitres to make a fair comparison.

Q: How do you convert litres to millilitres?

A: To convert litres to millilitres, we use the conversion factor: 1 litre = 1,000 millilitres.

Q: Can you explain the conversion of 13101 \frac{3}{10} litres to millilitres?

A: To convert a mixed number to a decimal, we convert the fraction to a decimal and then add the whole number. In this case, 13101 \frac{3}{10} = 1 + 0.3 = 1.3 litres. Now, we convert 1.3 litres to millilitres: 1.3 litres = 1.3 x 1,000 millilitres = 1,300 millilitres.

Q: Why is Container 3's capacity smaller than Container 2's capacity?

A: Container 3's capacity is smaller than Container 2's capacity because 1,045 millilitres is less than 1,300 millilitres.

Q: Can you justify why Container 3 is the smallest container?

A: Yes, we can justify why Container 3 is the smallest container by comparing its capacity to the other two containers. Container 1 has a capacity of 1,516,000 millilitres, which is much larger than Container 3's capacity of 1,045 millilitres. Container 2 has a capacity of 1,300 millilitres, which is also larger than Container 3's capacity. Therefore, Container 3 has the smallest capacity.

Q: What is the final answer?

A: The final answer is that Container 3 has the smallest capacity, with a capacity of 1,045 millilitres.

Additional Tips

  • When comparing quantities, always ensure that you have a common unit of measurement.
  • Use conversion factors to convert between different units of measurement.
  • Be careful when converting mixed numbers to decimals.
  • Always justify your answer by comparing the quantities.

Conclusion

In this article, we answered some frequently asked questions related to comparing the capacities of three milk containers. We emphasized the importance of having a common unit of measurement and provided tips on how to convert between different units of measurement. We also justified why Container 3 has the smallest capacity and provided the final answer.