All the solutions provided in McGraw Hill My Math Grade 5 Answer Key PDF Chapter 11 Lesson 13 Convert Metric Units of Capacity will give you a clear idea of the concepts.
McGraw-Hill My Math Grade 5 Answer Key Chapter 11 Lesson 13 Convert Metric Units of Capacity
In the metric system, the common units of capacity are litre and millilitre.
Math in My World
Example 1
A dripping faucet wastes about 90 litres of water every week. How many millilitres of water Is this?
Convert 90 liters to milliliters.
Since 1 liter = 1,000 milliliters, multiply 90 by 1,000.
So, 90 liters = ______________ milliliters.
The dripping faucet wastes ______________ milliliters of water.
Answer:
Already given that 1 litre = 1000 millilitres
We need to convert 90 litres to millilitres
90 litres = 90 x 1000 ml
90 litres = 90,000 ml
Therefore, 90 litres is equal to 90,000 millilitres.
The dripping faucet wastes 90,000 millilitres of water.
Example 2
A container of orange juice holds 580 millilitres. How many litres are 580 millilitres?
Since 1 liter = _____________ milliliters, divide 580 by _____________.
So, 580 milliliters = _____________ liter.
The container holds _______________ liter of orange juice.
Answer:
The above-given:
The number of millilitres an orange juice can hold in a container = 580
The number of litres is in 580 millilitres = m(l)
we already know that 1 litre = 1000 millilitres.
divide 580 by 1000
so, 580 millilitres = 0.58 litre
The container holds 0.58 litres of orange juice.
Guided Practice
Complete.
Question 1.
6 L = 
mL
6 × 1,000 = _______________
So, 6 liters equals _______________ milliliters.
Answer: 6000 ml
Explanation:
Litres to millilitres can be easily converted by knowing the relationship between them. Both litres and millilitres are units of volume of a liquid. A litre is the fundamental unit of the capacity of liquid.
Litres to millilitres conversion:
To convert a value in litres to millilitres we can use the below formula:
1 Litre = 1000 Millilitres
So for any value of capacity of liquid in litres, we can multiply the volume by 1000 to get the value in millilitres.
for 6 litres: 6 x 1000 = 6000
so, 6 litres equals 6000 millilitre.
Question 2.
4 L = mL
4 × 1,000 = _______________
So, 4 liters equals _______________ milliliters.
Answer: 4000 millilitres.
Explanation:
Litres to millilitres can be easily converted by knowing the relationship between them. Both litres and millilitres are units of volume of a liquid. A litre is the fundamental unit of the capacity of liquid.
Litres to millilitres conversion:
To convert a value in litres to millilitres we can use the below formula:
1 Litre = 1000 Millilitres
So for any value of capacity of liquid in litres, we can multiply the volume by 1000 to get the value in millilitres.
for 4 litres: 4 x 1000 = 4000
so, 4 litres equals 4000 millilitres.
Question 3.
7,000 mL = L
7,000 ÷ 1,000 = ______________
So, 7,000 milliliters equals _______________ liters.
Answer: 7 litres
Explanation:
There are 0.001 litres in 1 millilitre. To convert from millilitres to litres, multiply your figure by 0.001 (or divide by 1000).
1 millilitre = 0.001 litre
for 7000 ml = 7000 / 1000 = 7
Therefore, 7,000 millilitres equals 7 litres.
Question 4.
42 mL = L
42 ÷ 1,000 = ______________
So, 42 milliliters equals _______________ liters.
Answer: 0.042 millilitres.
Explanation:
conversion of millilitres to litres:
There are 0.001 litres in 1 millilitre. To convert from millilitres to litres, multiply your figure by 0.001 (or divide by 1000).
1 millilitre = 0.001 litre
for 42 ml = 42 / 1000 = 0.042
Therefore, 42 millilitres equals 0.042 litres.
Talk Math
Which unit would you use to measure the capacity of a glass of milk: millilitre or litre? Explain.
Answer: The unit for measuring liquids is a litre. Small quantities of a liquid such as medicine are measured in millilitres.
Independent Practice
Complete.
Question 5.
70 L = _______________ mL
Answer: 70,000 millilitres
Explanation:
Litres to millilitres can be easily converted by knowing the relationship between them. Both litres and millilitres are units of volume of a liquid. A litre is the fundamental unit of the capacity of liquid.
Litres to millilitres conversion:
To convert a value in litres to millilitres we can use the below formula:
1 Litre = 1000 Millilitres
So for any value of capacity of liquid in litres, we can multiply the volume by 1000 to get the value in millilitres.
for 70 litres: 70 x 1000 = 70,000
so, 70 litres equals 70,000 millilitres.
Question 6.
10 mL = _______________ L
Answer: 0.01 litre
Explanation:
conversion of millilitre to litre:
There are 0.001 litres in 1 millilitre. To convert from millilitres to litres, multiply your figure by 0.001 (or divide by 1000).
1 millilitre = 0.001 litre
for 10 ml = 10 / 1000 = 0.01
Therefore, 10 millilitres equals 0.01 litres.
Question 7.
1.2 L = _______________ mL
Answer: 1200 millilitres
Explanation:
Litres to millilitres can be easily converted by knowing the relationship between them. Both litres and millilitres are units of volume of a liquid. A litre is the fundamental unit of the capacity of liquid.
Litres to millilitres conversion:
To convert a value in litres to millilitres we can use the below formula:
1 Litre = 1000 Millilitres
So for any value of capacity of liquid in litres, we can multiply the volume by 1000 to get the value in millilitres.
for 1.2 litres: 1.2 x 1000 = 1200
so, 1.2 litres equals 1200 millilitres.
Question 8.
3,500 mL = _______________ L
Answer: 3.5 litre
Explanation:
Conversion of millilitre to litre:
There are 0.001 litres in 1 millilitre. To convert from millilitres to litres, multiply your figure by 0.001 (or divide by 1000).
1 millilitre = 0.001 litre
for 3500 ml = 3500 / 1000 = 3.5
Therefore, 3500 millilitres equals 3.5 litres.
Question 9.
4 L = _______________ mL
Answer: 4000 millilitres
Explanation:
Litres to millilitres can be easily converted by knowing the relationship between them. Both litres and millilitres are units of volume of a liquid. A litre is the fundamental unit of the capacity of liquid.
Litres to millilitres conversion:
To convert a value in litres to millilitres we can use the below formula:
1 Litre = 1000 Millilitres
So for any value of capacity of liquid in litres, we can multiply the volume by 1000 to get the value in millilitres.
for 4 litres: 4 x 1000 = 4000
so, 4 litres equals 4000 millilitres.
Question 10.
230 mL = _______________ L
Answer: 0.23 litre
Explanation:
conversion of millilitre to litre:
There are 0.001 litres in 1 millilitre. To convert from millilitres to litres, multiply your figure by 0.001 (or divide by 1000).
1 millilitre = 0.001 litre
for 230 ml = 230 / 1000 = 0.23
Therefore, 230 millilitres equals 0.23 litres.
Question 11.
6.21 L = _______________ mL
Answer: 6210 millilitres
Explanation:
Litres to millilitres can be easily converted by knowing the relationship between them. Both litres and millilitres are units of volume of a liquid. A litre is the fundamental unit of the capacity of liquid.
Litres to millilitres conversion:
To convert a value in litres to millilitres we can use the below formula:
1 Litre = 1000 Millilitres
So for any value of capacity of liquid in litres, we can multiply the volume by 1000 to get the value in millilitres.
for 6.21 litres: 6.21 x 1000 = 6210
so, 6.21 litres equals 6210 millilitres.
Question 12.
5,000 mL = _______________ L
Answer: 5 litres
Explanation:
conversion of millilitres to litres:
There are 0.001 litres in 1 millilitre. To convert from millilitres to litres, multiply your figure by 0.001 (or divide by 1000).
1 millilitre = 0.001 litre
for 5000 ml = 5000 / 1000 = 5
Therefore, 5,000 millilitres equals 5 litres.
Compare. Use <, >, or = to make a true statement.
Question 13.
2 L 
1,000 mL
Answer: greater than (>)
Explanation:
Litres to millilitres can be easily converted by knowing the relationship between them. Both litres and millilitres are units of volume of a liquid. A litre is the fundamental unit of the capacity of liquid.
Litres to millilitres conversion:
To convert a value in litres to millilitres we can use the below formula:
1 Litre = 1000 Millilitres
So for any value of capacity of liquid in litres, we can multiply the volume by 1000 to get the value in millilitres.
for 2 litres: 2 x 1000 = 2000
so, 2 litres equals 2000 millilitres.
2000 ml is greater than (>) 1000 ml
Hence the answer is greater than(>).
Question 14.
390 mL 0.39 L
Answer: equal to (=)
Explanation:
There are 0.001 litres in 1 millilitre. To convert from millilitres to litres, multiply your figure by 0.001 (or divide by 1000).
1 millilitre = 0.001 litre
for 390 ml = 390 / 1000 = 0.39
Therefore, 390 millilitres equals 0.39 litres.
0.39 ml = 0.39 ml
Hence the answer is equal to (=).
Question 15.
82 L 825 mL
Answer: greater than (>)
Explanation:
Litres to millilitres can be easily converted by knowing the relationship between them. Both litres and millilitres are units of volume of a liquid. A litre is the fundamental unit of the capacity of liquid.
Litres to millilitres conversion:
To convert a value in litres to millilitres we can use the below formula:
1 Litre = 1000 Millilitres
So for any value of capacity of liquid in litres, we can multiply the volume by 1000 to get the value in millilitres.
for 82 litres: 82 x 1000 = 82000
so, 82 litres equals 82000 millilitres.
82000 ml is greater than (>) 825 ml
Hence the answer is greater than (>).
Question 16.
834 mL 8.34 L
Answer: less than (<)
Explanation:
There are 0.001 litres in 1 millilitre. To convert from millilitres to litres, multiply your figure by 0.001 (or divide by 1000).
1 millilitre = 0.001 litre
for 834 ml = 834 / 1000 = 0.834
Therefore, 834 millilitres equals 0.834 litres.
0.834 litres < 8.34 litres
Hence, the answer is less than (<).
Question 17.
0.34 L 430 mL
Answer: less than (<)
Explanation:
Litres to millilitres can be easily converted by knowing the relationship between them. Both litres and millilitres are units of volume of a liquid. A litre is the fundamental unit of the capacity of liquid.
Litres to millilitres conversion:
To convert a value in litres to millilitres we can use the below formula:
1 Litre = 1000 Millilitres
So for any value of capacity of liquid in litres, we can multiply the volume by 1000 to get the value in millilitres.
for 0.34 litres: 0.34 x 1000 = 340
so, 0.34 litres equals 340 millilitres.
340 ml is less than 430 ml
Therefore, the answer is less than(<).
Question 18.
87 mL 0.087 L
Answer: equal to (=)
Explanation:
There are 0.001 litres in 1 millilitre. To convert from millilitres to litres, multiply your figure by 0.001 (or divide by 1000).
1 millilitre = 0.001 litre
for 87 ml = 87 / 1000 = 0.087
Therefore, 87 millilitres equals 0.087 litres.
0.087 ml = 0.087 ml
Hence the answer is equal to (=).
Problem Solving
Question 19.
The Nail Shop purchases nail polish in 13-millilitre bottles. Find the total capacity, in litres, of 1,000 bottles.
Answer:
The above-given:
The number of millilitre nail shop bottles purchased by the nail shop = 13
Based on the given conditions, e can formulate:
1000 x 13 / 1000
1000 gets cancelled
And the answer is 13.
Therefore, the total capacity in litres is 13.
Question 20.
Paulene measures the water in a container to be 2,732 millilitres. Justin measures the water in the same container to be 3 litres. Circle the greater measurement.
2,732 millilitres
3 litres
Answer: 3 litres is greater
The above-given:
The measurement in millilitres: 2732
The measurement in litres: 3
Explanation:
There are 0.001 litres in 1 millilitre. To convert from millilitres to litres, multiply your figure by 0.001 (or divide by 1000).
1 millilitre = 0.001 litre
for 2732 ml = 2732 / 1000 = 2.732
Therefore, 2732 millilitres equals 2.732 litres.
2.732 is less than 3 litres.
Therefore, 3 litres is larger.
Question 21.
Mathematical PRACTICE Check for Reasonableness To prepare for his camping trip, Emanuel filled his canteen with water. Is 15,000 millilitres or 1,500 millilitres a more reasonable estimate for the amount of water in the canteen? Explain.
Answer: 15000 millilitres are more reasonable.
Explanation:
Litres to millilitres can be easily converted by knowing the relationship between them. Both litres and millilitres are units of volume of a liquid. A litre is the fundamental unit of the capacity of liquid.
Litres to millilitres conversion:
To convert a value in litres to millilitres we can use the below formula:
1 Litre = 1000 Millilitres
So for any value of capacity of liquid in litres, we can multiply the volume by 1000 to get the value in millilitres.
There are 0.001 litres in 1 millilitre. To convert from millilitres to litres, multiply your figure by 0.001 (or divide by 1000).
1 millilitre = 0.001 litre
15000 ml = 15000 / 1000 = 15 litres.
For a campaign trip 15000 millilitres are reasonable.
HOT Problems
Question 22.
Mathematical PRACTICE Reason Name three items that have a capacity greater than 10 litres.
Answer:
It would be a water tank, fish tank, and a large bucket. And some more examples are bathing tub and swimming pool.
Question 23.
Building on the Essential Question Why is it important to be able to convert metric units of capacity?
Answer: The metric system is used by nearly everyone on Earth. Without the metric system, we’d have a different International System of Units, the metric system is important because 1mm is 0.1cm, 1 cm is 0.01m, with the imperial system the conversion is tedious.
We may need to compare capacity measurements on different items. So, converting may be necessary.
McGraw Hill My Math Grade 5 Chapter 11 Lesson 13 My Homework Answer Key
Practice
Complete.
Question 1.
6 L = _______________ mL
Answer: 6000 millilitres
Explanation:
Litres to millilitres can be easily converted by knowing the relationship between them. Both litres and millilitres are units of volume of a liquid. A litre is the fundamental unit of the capacity of liquid.
Litres to millilitres conversion:
To convert a value in litres to millilitres we can use the below formula:
1 Litre = 1000 Millilitres
So for any value of capacity of liquid in litres, we can multiply the volume by 1000 to get the value in millilitres.
for 6 litres: 6 x 1000 = 6000
so, 6 litres equals 6000 millilitres.
Question 2.
13 L = _______________ mL
Answer: 13,000 millilitres
Explanation:
Litres to millilitres can be easily converted by knowing the relationship between them. Both litres and millilitres are units of volume of a liquid. A litre is the fundamental unit of the capacity of liquid.
Litres to millilitres conversion:
To convert a value in litres to millilitres we can use the below formula:
1 Litre = 1000 Millilitres
So for any value of capacity of liquid in litres, we can multiply the volume by 1000 to get the value in millilitres.
for 13 litres: 13 x 1000 = 13000
so, 13 litres equals 13,000 millilitres.
Question 3.
54,000 mL = _______________ L
Answer: 54 litre
Explanation:
conversion of millilitres to litres:
There are 0.001 litres in 1 millilitre. To convert from millilitres to litres, multiply your figure by 0.001 (or divide by 1000).
1 millilitre = 0.001 litre
for 54,000 ml = 54,000 / 1000 = 54
Therefore, 54,000 millilitres equals 54 litres.
Question 4.
23,500 mL = _______________ L
Answer: 23.5 litres
Explanation:
conversion of millilitres to litres:
There are 0.001 litres in 1 millilitre. To convert from millilitres to litres, multiply your figure by 0.001 (or divide by 1000).
1 millilitre = 0.001 litre
for 23,500 ml = 23,500 / 1000 = 23.5
Therefore, 23,500 millilitres equals 23.5 litres.
Question 5.
11,000 mL = _______________ L
Answer: 11 litres
Explanation:
conversion of millilitres to litres:
There are 0.001 litres in 1 millilitre. To convert from millilitres to litres, multiply your figure by 0.001 (or divide by 1000).
1 millilitre = 0.001 litre
for 11000 ml = 11000 / 1000 = 11
Therefore, 11,000 millilitres equals 11 litres.
Question 6.
0.201 L = _______________ mL
Answer: 201 millilitres
Explanation:
Litres to millilitres can be easily converted by knowing the relationship between them. Both litres and millilitres are units of volume of a liquid. A litre is the fundamental unit of the capacity of liquid.
Litres to millilitres conversion:
To convert a value in litres to millilitres we can use the below formula:
1 Litre = 1000 Millilitres
So for any value of capacity of liquid in litres, we can multiply the volume by 1000 to get the value in millilitres.
for 0.201 litres: 0.201 x 1000 = 201
so, 0.201 litres equals 201 millilitres.
Problem Solving
Question 7.
Yesterday, Audrey drank the liquids shown on the table. How many litres of liquids did she drink in all?
Answer:
The above-given:
The amount of juice = 210 ml
The amount of milk = 480 ml
The amount of water = 1.2 l
To convert a value in litres to millilitres we can use the below formula:
1 Litre = 1000 Millilitres
So for any value of capacity of liquid in litres, we can multiply the volume by 1000 to get the value in millilitres.
for 1.2 litres: 1.2 x 1000 = 1200
so, 1.2 litres equals 1200 millilitres.
Now add all the millilitres:
210 + 480 + 1200 = 1890
In litres e have to convert:
1890 ml = 1890 / 1000 = 1.89 litres.
Therefore, 1.89 litres of liquids did she drink in all.
Question 8.
One serving of punch is 250 millilitres. Will ten servings fit in a 2-litre bowl? Explain.
Answer: No
Explanation:
To convert a value in litres to millilitres we can use the below formula:
1 Litre = 1000 Millilitres
So for any value of capacity of liquid in litres, we can multiply the volume by 1000 to get the value in millilitres.
for 2 litres: 2 x 1000 = 2000 ml
for one serve – 250 ml
for 10 serves – 250 x 10 = 2500 ml
but given 2 – litre which is 2000 ml.
Therefore, ten servings ill not fit in a 2 – litre bowl. Hence, the bowl is too small.
Question 9.
Mathematical PRACTICE Make Sense of Problems Nara received a measles immunization at Dr. Arroyo’s office. The vaccine was measured in cubic centimetres. A cubic centimetre has the same capacity as a millilitre. If the immunization was 3.5 cubic centimetres, how many millilitres was it?
Answer: 3.5 ml
Milk, cold drinks, juices, soda and other drinks and carbonated drinks are often sold in litres. This is to say, the jug contains exactly 2 litres of water in it.
1 cubic centimetre = 1 millilitre.
1 cubic centimetre is equal to 1 millimetre.
Therefore, the answer is 3.5 millilitres.
Vocabulary Check
Fill in the blank with the correct word(s) that completes each sentence.
Question 10.
The _______________ is an appropriate unit to measure the capacity of a hand sanitizer bottle.
Answer: millimetre.
A Metric measure of distance that is used for small lengths is called millimetres. A unit of length in the metric system equals 1/1,000 of 1 meter. This means that there are 1000 mm in 1 meter. The abbreviation used to represent millimetres is mm. The small lines on this ruler display the metric measure mm.
Question 11.
The ________________ is an appropriate unit to measure the capacity of the water in a fountain.
Answer: litre
The two most common measurements of volume in terms of liquid are Litres and Millilitres. Thus, a litre is a unit of measuring volume under the metric system. litres are commonly written as L.
Milk, cold drinks, juices, soda and other drinks and carbonated drinks are often sold in litres. This is to say, the jug contains exactly 2 litres of water in it.
Test Practice
Question 12.
A soup bowl can hold about 400 millilitres of soup. A restaurant has 8 litres of vegetable soup. How many bowls of soup can they serve?
(A) 500 bowls
(B) 200 bowls
(C) 50 bowls
(D) 20 bowls
Answer: Option D is the correct answer.
The above-given:
The number of millilitres a soup bowl can hold = 400
The number of litres of soup a restaurant has = 8
The number of bowls of soup can they serve = x
as we know, 1 litre = 1000 ml
8l = 8 x 1000 = 8000
x = 8000 / 400
x = 20
Therefore, 20 bowls can serve.