We included HMH Into Math Grade 5 Answer Key PDF Module 18 Lesson 2 Solve Customary and Metric Conversion Problems to make students experts in learning maths.
HMH Into Math Grade 5 Module 18 Lesson 2 Answer Key Solve Customary and Metric Conversion Problems
I Can solve problems involving conversions within the same system of measurement.
Step It Out
Question 1.
Mike observes and measures the distance a flea jumps in a straight line. If the flea jumps that same distance 8 consecutive times, how many centimeters does the flea jump?
A. Find the total distance the flea jumps.
Write an expression to find the total number of millimeters the flea jumps.
Answer: 150 millimeters X 8 times
Explanation:
flea jumps that same distance 8 consecutive times of 150 millimeters
Find the number of millimeters the flea jumps.
Answer: 1200 millimeters
Explanation:
flea jumps that same distance 8 consecutive times of 150 millimeters.
so total number of millimeters the flea jumps is 1200 millimeters.
Since 150 X 8 =1200
B. Convert the number of millimeters to a number of centimeters.
Write an equation that relates millimeters and centimeters.
Answer: 1200 millimeters = 120 centimeters
Explanation:
10 millimeters = 1 centimeter
1200 millimeters = 1200 ÷ 10 = 120 centimeters
Are you converting from a larger unit to a smaller unit or from a smaller unit to a larger unit?
Answer: smaller unit to a larger unit
Explanation:
I am converting smaller to larger since millimeters is small compared to centimeters
Write an expression to convert the number of millimeters the flea jumps to an equivalent number of centimeters.
Answer:
150 millimeters X 8 times
Explanation:
the flea jumps same distance of 8 consecutive times
150 millimeters X 8 times = 1200 millimeters
1200 ÷ 10 = 120 centimeters
C. How many centimeters does the flea jump?
Answer:
120 centimeters
Explanation:
the flea jumps same distance of 8 consecutive times
150 millimeters X 8 times = 1200 millimeters
1200 ÷ 10 = 120 centimeters
Turn and Talk How would your method change if you were converting from centimeters to millimeters?
Answer:
To convert centimeters to millimeters, all you have to do is multiply the number of centimeters by 10. For example, if you wanted to convert 5 centimeters to millimeters, you would just multiply 5 by 10 and get 50.
Question 2.
Mike fills the aquarium using a one-pint bottle. How many times will he need to fill the bottle in order to completely fill the aquarium?
A. Describe how to find the number of pints the aquarium holds.
Answer: To convert 15 gallons to pints
B. Complete the table to show equivalent measures.
Answer:
Explanation:
1 gallon = 4 quarts
1 gallon = 8 pints
1 gallon = 16 cups.
as 1 gallon = 8 pints we have to multiply the pints to the gallons
15 x 8
C. How do you convert a number of gallons to a number of pints? Explain how you know.
Answer:
If you need to convert gallons to pints, all you have to do is multiply the number of gallons by 8 to get its equivalent in pints
Explanation:
If you need to convert gallons to pints, all you have to do is multiply the number of gallons by 8 to get its equivalent in pints. Since
D. Write an equation to show how many pints there are in 15 gallons.
Answer:
let n be the pints
n = number of gallons x number of pints
n = 15 x 8
n = 120 pints
E. How many times will Mike need to fill the bottle in order to completely fill the aquarium?
Answer:
120 pint bottles
Explanation:
let n be the pints
n = number of gallons x number of pints
n = 15 x 8
n = 120 pints
Turn and Talk If Mike used a one-cup container to fill the aquarium instead, how would the conversion change?
Answer:
Explanation:
let n be the number of cups
n = number of gallons x number of cups
n = 15 x 16
n = 240 cups
If mike fills the aquarium with cups
he need to fill 240 cups of water.
Check Understanding
Question 1.
Another animal fact Mike learns is that African bush elephants eat 230 kilograms of grass and leaves each day. How many grams of grass and leaves do African bush elephants eat daily?
Answer:
230000 grams
Explanation:
African bush elephants eat 230 kilograms of grass and leaves each day.
to convert kilograms to grams
we have to multiply by 1000
230 x 1000 = 230000 grams
multiply the mass value by 1000
Convert.
Question 2.
2\(\frac{1}{2}\) lb to oz
Answer:
2\(\frac{1}{2}\) lb = 40 oz
Explanation:
2\(\frac{1}{2}\)
\(\frac{5}{2}\) x \(\frac{16}{1}\)
by cross multiplication
\(\frac{80}{2}\) = 40
To convert lb to oz
multiply the mass value by 16
Question 3.
272 mL to L
Answer:
272 mL = 0.272 L
Explanation:
\(\frac{272}{1000}\) = 0.272liter
divide the volume value by 1000
Question 4.
38.625 g to mg
Answer:
38.625 g = 38625 mg.
Explanation:
1 gram = 1000 mg
multiply the mass value by 1000
38.625 x 1000 = 38625mg
On Your Own
Question 5.
A large bowl has a liquid volume of 3\(\frac{1}{2}\) quarts. Javier fills the bowl using a 2-cup bottle. How many times will he need to fill the bottle in order to completely fill the bowl?
Answer:
7 times
Explanation:
A large bowl has a liquid volume of 3\(\frac{1}{2}\) quarts.
Javier fills the bowl using a 2-cup bottle.
3\(\frac{1}{2}\) = \(\frac{7}{2}\) quarts
\(\frac{7}{2}\) x 2 = 7
7 times he need to fill the bottle.
Convert.
Question 6.
396.5 cg to g
Answer:
396.5 cg = 3.965 g
Explanation:
Centigram to Gram
the value in cg divide by 100 to get a value in g.
396.5 by 100
so, decimal point moves to hundreds place
3.965 grams
Question 7.
13 c to qt
Answer:
13 c = 3.25 qt
Explanation:
1 quart = 4 cups
so, we have to divide by 4
divide the volume value by 4
13 c divide by 4 = 3.25 qt
Question 8.
27.385 m to mm
Answer:
27.385 m = 27385mm
Explanation:
1 meter = 1000 millimeter.
multiply the length value by 1000
27.385 x 1000 = 27385
the decimal value moves to zero’s place.
Question 9.
Attend to Precision A bag of nut and seed mix contains 6,250 milligrams of protein in each serving. How many grams of protein are in the whole bag?
How many milligrams of protein are in the whole bag?
Answer:
50000 mg
Explanation:
A bag of nut and seed mix contains 6,250 milligrams of protein in each serving.
6250 in one serving
1 bag = 8 servings
6250 x 8 = 50,000 milligrams of protein
50000 of protein in one whole bag
How will you convert from milligrams to grams?
Answer:
1 gram = 1000 mg
Explanation:
divide the mass value by 1000
50000 of protein in one whole bag
50000 divide by 1000 = 50grams
How many grams of protein are in the whole bag?
Answer:
50 grams
Explanation:
divide the mass value by 1000
50000 of protein in one whole bag
50000 divide by 1000 = 50grams
On Your Own
Question 10.
STEM A supersonic parachute will help scientists to land a spacecraft on Mars. The parachute will have to sustain a speed of 200 miles in one minute! How many yards is this in one minute?
Answer:
200 miles = 352,000 yards.
Explanation:
The parachute will have to sustain a speed of 200 miles in one minute
multiply the length value by 1760
200 x 1760 = 352,000 yards.
Question 11.
A striped dolphin weighs about 22\(\frac{1}{2}\) pounds at birth. About how many ounces does a baby striped dolphin weigh?
Are you converting from a smaller unit to a larger unit or from a larger unit to a smaller unit?
Answer:
22\(\frac{1}{2}\) pounds = 360 ounces.
Explanation:
A striped dolphin weighs about 22\(\frac{1}{2}\) pounds at birth.
multiply the mass value by 16
22\(\frac{1}{2}\) x 16
\(\frac{45}{2}\) x 16 = 360 ounces
from a smaller unit to a larger unit
as we are multiplying rather than dividing
How will you convert a number of pounds to a number of ounces?
Answer:
1 pound = 16 ounces.
Explanation:
as, 1 pound = 16 ounces.
multiply the mass value by 16
to convert a number of pounds to a number of ounces
About how many ounces does a baby striped dolphin weigh?
Answer:
360 ounces
Explanation:
A striped dolphin weighs about 22\(\frac{1}{2}\) pounds at birth.
multiply the mass value by 16
22\(\frac{1}{2}\) x 16
\(\frac{45}{2}\) x 16 = 360 ounces
from a smaller unit to a larger unit
as we are multiplying rather than dividing
Question 12.
Reason When you convert a measurement of 35 to an equivalent measure of 0.35, are you converting from a smaller unit to a larger unit or from a larger unit to a smaller unit? Explain.
Answer:
Larger to a smaller.
Explanation:
We are converting a larger unit to smaller unit
because when we divide 35 by 100 the quotient is 0.35
Question 13.
Reason When converting a decimal measure from a smaller metric unit to a larger metric unit, will the new measure also be a decimal? Explain.
Answer:
depends upon the number
it depends whether the product is decimal or a number
Explanation:
when we convert metric units by simply moving the decimal point.
To convert to smaller units, move the decimal point to the right.. To convert to larger units, move decimal point to the left.