We included HMH Into Math Grade 5 Answer Key PDF Module 17 Lesson 5 Represent Decimal Division to make students experts in learning maths.
HMH Into Math Grade 5 Module 17 Lesson 5 Answer Key Represent Decimal Division
I Can divide a decimal by a decimal using a concrete or visual model.
Spark Your Learning
A mouse finds a bag of sunflower seeds. The mouse eats 0.2 ounce of sunflower seeds each day. How many days does the bag of sunflower seeds last?
Answer:
Number of days the bag of sunflower seeds last = 4.
Explanation:
Total number of ounce of sunflower seeds bag weights = 0.8.
Number of ounce of sunflower seeds mouse eats each day = 0.2.
Number of days the bag of sunflower seeds last = Total number of ounce of sunflower seeds bag weights ÷ Number of ounce of sunflower seeds mouse eats each day
= 0.8 ÷ 0.2
= 4.
Turn and Talk How can you check your answer?
Answer:
Check:
One more way to check your answers by yourself is to ask if your answer is reasonable. This works especially well for word problems..
Explanation:
Total number of ounce of sunflower seeds bag weights = 0.8.
Number of ounce of sunflower seeds mouse eats each day = 0.2.
Number of days the bag of sunflower seeds last = Total number of ounce of sunflower seeds bag weights ÷ Number of ounce of sunflower seeds mouse eats each day
= 0.8 ÷ 0.2
= 4.
Check:
Number of days the bag of sunflower seeds last × Number of ounce of sunflower seeds mouse eats each day = Total number of ounce of sunflower seeds bag weights
=> 4 × 0.2
=> 0.8.
Build Understanding
Question 1.
A scientist has a container of ocean water. She pours 0.6 liter of water into each of several jars. How many jars does the scientist need?
Write the expression to represent the situation. Use decimal models to show the division.
Answer:
Number of jars the scientist needs = 3.
Explanation:
Number of liters of water she pours into each of several jars = 0.6.
Number of liters of water in the jar = 1.8.
Number of jars the scientist needs = Number of liters of water in the jar ÷ Number of liters of water she pours into each of several jars
= 1.8 ÷ 0.6
= 3.
A. Which number is the dividend? What does it represent?
Answer:
Dividend = Number of liters of water in the jar = 1.8 liters.
Explanation:
Dividend = Number of liters of water in the jar.
B. How did you show the dividend in the decimal model?
Answer:
Dividend = Number of liters of water in the jar = 1.8 liters.
1.8 = 1 ones 8 tenths.
Explanation:
C. Which number is the divisor? What does it represent?
Answer:
Divisor = Number of liters of water she pours into each of several jars = 0.6.
= 0 ones 6 tenths.
Explanation:
Divisor = Number of liters of water she pours into each of several jars = 0.6.
= 0 ones 6 tenths.
D. How did you show the divisor in the decimal model?
Answer:
Explanation:
Divisor = Number of liters of water she pours into each of several jars = 0.6.
= 0 ones 6 tenths.
E. How many jars does the scientist need? How did you show this?
Answer:
Number of jars the scientist needs = 3.
Explanation:
Number of liters of water she pours into each of several jars = 0.6.
Number of liters of water in the jar = 1.8.
Number of jars the scientist needs = Number of liters of water in the jar ÷ Number of liters of water she pours into each of several jars
= 1.8 ÷ 0.6
= 3.
Turn and Talk How will the answer change if the scientist pours 0.2 liter of water into each jar? Explain.
Answer:
Number of jars the scientist needs = 9.
Explanation:
Number of liters of water she pours into each of several jars = 0.6.
Number of liters of water in the jar = 1.8.
Number of jars the scientist needs = Number of liters of water in the jar ÷ Number of liters of water she pours into each of several jars
= 1.8 ÷ 0.6
= 3.
=> if the scientist pours 0.2 liter of water into each jar
=> Number of liters of water she pours into each of several jars = 0.2
=> Number of jars the scientist needs = Number of liters of water in the jar ÷ Number of liters of water she pours into each of several jars
= 1.8 ÷ 0.2
= 9.
On Your Own
Question 2.
Use Tools Anya takes $1.75 to the store. How many pears can she buy?
Write an expression to represent the situation.
Answer:
Number of pears can she buy = 5.
Explanation:
Amount of money Anya takes to the store = $1.75.
Cost of each Pear = $0.35.
Number of pears can she buy = Amount of money Anya takes to the store ÷ Cost of each Pear
= $1.75 ÷ $0.35
= 5.
Use decimal models to find the quotient.
Answer:
Explanation:
Number of pears can she buy = Amount of money Anya takes to the store ÷ Cost of each Pear
= $1.75 ÷ $0.35
= 5.
How many pears can Anya buy?
Answer:
Number of pears can she buy = 5.
Explanation:
Amount of money Anya takes to the store = $1.75.
Cost of each Pear = $0.35.
Number of pears can she buy = Amount of money Anya takes to the store ÷ Cost of each Pear
= $1.75 ÷ $0.35
= 5.
Identify the dividend and divisor in the problem. Then solve.
Question 3.
A sack contains 4.2 pounds of sand. Stan wants to put 0.6 pound of sand in each flowerpot. How many flowerpots can he fill?
Dividend: ____________
Divisor: ____________
Answer:
Number of pounds of sand flowerpots can he fill = 7.
Dividend: Number of pounds of sand a sank contains = 4.2.
Divisor: Number of pounds of sand in each flowerpot Stan wants to put = 0.6.
Explanation:
Number of pounds of sand a sank contains = 4.2.
Number of pounds of sand in each flowerpot Stan wants to put = 0.6.
Number of pounds of sand flowerpots can he fill = Number of pounds of sand a sank contains ÷ Number of pounds of sand in each flowerpot Stan wants to put
= 4.2 ÷ 0.6
= 7.
Question 4.
Candice needs 0.8 pint of milk to make a batch of butter. How many batches can she make with 2.4 pints of milk?
Dividend: ____________
Divisor: ____________
Answer:
Number of batches she can make with 2.4 pints of milk = 3.
Dividend: Total of pint of milk she has to make batches = 2.4.
Divisor: Number of pint of milk to make a batch of butter Candice needs = 0.8.
Explanation:
Number of pint of milk to make a batch of butter Candice needs = 0.8.
Total of pint of milk she has to make batches = 2.4.
Number of batches she can make with 2.4 pints of milk = Total of pint of milk she has to make batches ÷ Number of pint of milk to make a batch of butter Candice needs
= 2.4 ÷ 0.8
= 3.
Question 5.
A bird hops 0.72 meter. If each hop it takes is 0.09 meter, how many hops does the bird take?
Dividend: ____________
Divisor: ____________
Answer:
Number of hops the bird takes = 8.
Dividend: Number of meters a bird hops = 0.72.
Divisor: Number of meters each hop it takes = 0.09.
Explanation:
Number of meters a bird hops = 0.72.
Number of meters each hop it takes = 0.09.
Number of hops the bird takes = Number of meters a bird hops ÷ Number of meters each hop it takes
= 0.72 ÷ 0.09
= 8.
Question 6.
A sticker costs $0.64. Ronald spends $3.84 on stickers. How many stickers does Ronald buy?
Dividend: ____________
Divisor: _____________
Answer:
Number of stickers does Ronald buys = 6.
Dividend: Amount of money Ronald spends on stickers = $3.84.
Divisor: Cost of a sticker = $0.64.
Explanation:
Cost of a sticker = $0.64.
Amount of money Ronald spends on stickers = $3.84.
Number of stickers does Ronald buys = Amount of money Ronald spends on stickers ÷ Cost of a sticker
= $3.84 ÷ $0.64
= 6.
On Your Own
Question 7.
Use Tools Diana has a board. She wants to cut the board into equal pieces 0.7 meter long. How many pieces can she cut from the board?
Draw a decimal model to find the answer.
Answer:
Explanation:
Number of pieces she can cut from the board = Number of meters the board ÷ Number of meters of pieces she wants to cut the board
= 2.1 ÷ 0.7
= 3.
How many pieces can she cut from the board?
Answer:
Number of pieces she can cut from the board = 3.
Explanation:
Number of meters the board = 2.1.
Number of meters of pieces she wants to cut the board = 0.7.
Number of pieces she can cut from the board = Number of meters the board ÷ Number of meters of pieces she wants to cut the board
= 2.1 ÷ 0.7
= 3.
Find the quotient.
Question 8.
0.8 ÷ 0.2 ___________
Answer:
0.8 ÷ 0.2 = 4.
Explanation:
0.8 ÷ 0.2 = 4.
Question 9.
1 ÷ 0.2 ___________
Answer:
1 ÷ 0.2 = 5.
Explanation:
1 ÷ 0.2 = 5.
Question 10.
0.56 ÷ 0.14 _____________
Answer:
0.56 ÷ 0.14 = 4.
Explanation:
0.56 ÷ 0.14 = 4.
Question 11.
1.47 ÷ 0.49 ___________
Answer:
1.47 ÷ 0.49 = 3.
Explanation:
1.47 ÷ 0.49 = 3.
Question 12.
Open-Ended Write and solve a word problem for the division shown by the decimal model.
Answer:
Number of kilograms of apples are in each bag = Number of friends he gives them ÷ Number of kilograms of apples Jai has
= 2.8 ÷ 4
= 0.7kg
Explanation:
There are 2.80 kgs apples in a box with Jai. He gives them to his four friends. How much weight of apples he gives them.
Number of kilograms of apples Jai has = 2.80.
Number of kilograms of apples are in each bag = 0.7
Number of kilograms of apples are in each bag = Number of friends he gives them ÷ Number of kilograms of apples Jai has
= 2.8 ÷ 4
= 0.7kg
I’m in a Learning Mindset!
What parts of dividing a decimal by a decimal am I comfortable doing on my own?
Answer:
Yes, I am comfortable doing on my own Dividing a decimal by a decimal because I divide the number into dividend divisor and quotient by doing the division process and follow certain steps.
Explanation:
Move the decimal point in the divisor to the right until it is a whole number.
Move the decimal point in the dividend to the right by the same number of places as the decimal point was moved to make the divisor a whole number.
Then divide the new dividend by the new divisor.