Studdy AI Logo
Math

QuestionConvert the capacities of three milk containers to millilitres and identify the smallest one. Hint: 1000ml=1L1000 \mathrm{ml}=1 \mathrm{L}.

Studdy Solution

STEP 1

Assumptions1. The capacities of the three milk containers are given in different units litres, litres with fractions, and litres with millilitres. . We need to convert all quantities to the same unit, millilitres, to compare them.
3. The conversion rate is1 litre =1000 millilitres.

STEP 2

First, we need to convert the capacity of the first container from litres to millilitres. We can do this by multiplying the number of litres by1000.
Capacityml1=Capacityl1times1000Capacity_{ml1} = Capacity_{l1} \\times1000

STEP 3

Now, plug in the given value for the capacity of the first container to calculate its capacity in millilitres.
Capacityml1=1,516times1000Capacity_{ml1} =1,516 \\times1000

STEP 4

Calculate the capacity of the first container in millilitres.
Capacityml1=1,516times1000=1,516,000 mlCapacity_{ml1} =1,516 \\times1000 =1,516,000 \, ml

STEP 5

Next, we need to convert the capacity of the second container from litres to millilitres. The capacity is given as a mixed number, so we first need to convert it to an improper fraction.
1310=13101 \frac{3}{10} = \frac{13}{10}

STEP 6

Now, multiply the number of litres by1000 to convert to millilitres.
Capacityml2=Capacityl2times1000Capacity_{ml2} = Capacity_{l2} \\times1000

STEP 7

Plug in the value for the capacity of the second container to calculate its capacity in millilitres.
Capacityml2=1310times1000Capacity_{ml2} = \frac{13}{10} \\times1000

STEP 8

Calculate the capacity of the second container in millilitres.
Capacityml2=1310times1000=1,300 mlCapacity_{ml2} = \frac{13}{10} \\times1000 =1,300 \, ml

STEP 9

For the third container, the capacity is given in litres and millilitres. Convert the litres to millilitres and add to the given millilitres.
Capacityml3=Capacityl3times100+Capacityml3Capacity_{ml3} = Capacity_{l3} \\times100 + Capacity_{ml3}

STEP 10

Plug in the values for the capacity of the third container to calculate its total capacity in millilitres.
Capacityml3=times1000+45Capacity_{ml3} = \\times1000 +45

STEP 11

Calculate the capacity of the third container in millilitres.
Capacityml3=times1000+45=,045 mlCapacity_{ml3} = \\times1000 +45 =,045 \, ml

STEP 12

Now that we have the capacities of all three containers in millilitres, we can compare them to find the smallest.The capacities are. First container,516,000 ml2. Second container,300 ml. Third container,045 mlThe third container has the smallest capacity.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord