# Into Math Grade 6 Module 4 Lesson 4 Answer Key Divide Multi-Digit Decimals

We included HMH Into Math Grade 6 Answer Key PDF Module 4 Lesson 4 Divide Multi-Digit Decimals to make students experts in learning maths.

## HMH Into Math Grade 6 Module 4 Lesson 4 Answer Key Divide Multi-Digit Decimals

I Can divide a multi-digit decimal by a decimal to the hundredths place.

Step It Out

1. Six toy blocks of the same length are lined up next to each other. What is the length of one toy block? A. What division problem models this situation?
_____________________
We have 6 equal-sized blocks.
We can think of it as a division problem 7.8 ÷ 6
Sometimes we want to find the total. Sometimes we want to find how many groups there are. Sometimes we want to find how much is in each group. Anytime we want to find out how many groups there are or how much is in each group, we can represent the situation using division.
B. Divide to find the length of one toy block. _____________________
To find the length of one toy block we need to divide
7.8 ÷ 6 = 1.3
Therefore, the length of each toy block is 1.3

2. Mr. Leon drives his car 443.75 miles and uses 12.5 gallons of gasoline. How many miles does Mr. Leon get per gallon?
A Write a division problem to model this situation.
_____________________
The total miles = 443.75
The number of gallons of gasoline used = 12.5
The number of miles Leon gets per gallon = X
It is a division problem. Then the expression will be:
X = 443.75 ÷ 12.5

B. In a previous grade, you wrote a fraction and then an equivalent fraction with a whole-number denominator to solve a division problem. Write a fraction and an equivalent fraction with a whole-number denominator to represent this situation.
_____________________

C. You can do the same process as Part B by multiplying both the divisor and the dividend by the same power of ten. What power of 10 do you need to multiply by to make the divisor a whole number? Why is it helpful to make the divisor a whole number?
We can write the 10^1
10^1 is nothing but 10
If we multiply by 10 then the decimal numbers will become whole numbers.
12.5 x 10 = 125

D. How do you show this change in long division?
443.75 × 10 = 4437.5 12.5 × 10 = 125 How to divide decimals:
Multiply the divisor by as many 10’s as necessary until we get a whole number. Remember to multiply the dividend by the same number of 10s.
– If the divisor is not a whole number, move the decimal point to the right to make it a whole number and move the decimal point in dividend to the same number of places.
– Keep dividing until the answer repeats.
– Put the decimal point directly above the decimal point in the dividend.
– Multiply the quotient by the divisor to check the answer E. Complete the given division problem to find the quotient.
Lond division: 443.75/12.5 = 35.5 Therefore, the quotient is 35.5

F. How many miles does Mr. Leon get per gallon?
Therefore, by observing the above long division Mr Leon got 35.5 miles per gallon.

Turn and Talk Is it possible to make both the divisor and the dividend a whole number when finding Mr. Leon’s gas mileage? Explain.

3. A teacher drove a rental car 276.3 miles and used a total of 10.230 gallons of gas. Two students, Kierra and Shawna, both calculate how many miles the car got per gallon. Whose solution is correct? Explain the error(s) in the incorrect solution. How could you check the result? Turn and Talk Why are both the dividend and divisor multiplied by the same number? Explain.
Answer: When you multiply the dividend and the divisor by ten, it changes the numbers to whole numbers instead of decimals so you don’t have to deal with the decimal point.

Check Understanding

Question 1.
A taxi driver fills the gas tank and calculates that the car travelled 356.25 miles using 9.5 gallons of gas. How many miles per gallon did the car get?
The total miles that the car travelled = 356.25
The car used the number of gallons of gas = 9.5
The number of miles per gallon did the car got = X
X = total miles/number of gallons car used
X = 356.25/9.5
X = 37.5
Therefore, 37.5 miles per gallon

Question 2.
Greta has a bag full of Lincoln pennies. She knows that a Lincoln penny has a mass of 2.5 grams. The total mass of the pennies in her bag is 1,320 grams. How many pennies does Greta have?
The mass of the Lincoln penny = 2.5 grams
The total mass of the pennies = 1320 grams
The number of pennies does she have = X
X = 1320/2.5
X = 528
therefore, Greta has 528 pennies.

Question 3.
Members of a soccer team who participated in a fundraiser sold a total of $109.80 in tickets. Each player sold$12.20 worth of tickets. How many members of the soccer team participated in the fundraiser?
The total cost of the tickets that are sold by members of the soccer team = is $109.80 The cost of each ticket that the player sold =$12.20
The number of members who participated in the fundraiser=F
F = 109.80/12.20
F = 9 members.
therefore, 9 members participated in the fundraiser.

Question 4.
Christy is painting pinwheels to sell at a fair. It takes her 1.5 hours to paint each pinwheel. How many pinwheels will she be able to paint in 13.5 hours? The time is taken to paint each pinwheel = 1.5 hours
We need to find out the number of pinwheels he can make in 13.5 hours. Let it be P. Therefore, he can make 9 pinwheels in 13.5 hours.

Question 5.
Attend to Precision A large box is to be filled with smaller boxes. The bottom of the large box is a square whose sides measure 18.3 inches. The smaller boxes also have a square bottom. The sides of the smaller boxes are 6.1 inches long. How many of the smaller boxes will completely fill the bottom of the larger box? Explain.
The side of a large box = 18.3 inches
The side of a small box = 6.1 inches
We need to find out the number of smaller boxes that will completely fill the bottom of a large box. Let it be X.
X = 18.3/6.1
X = 3 boxes.
Therefore, 3 boxes are needed to fill the bottom of a large box.

Question 6.
Critique Reasoning Sean and Kyle have the amount of ribbon shown. They need lengths of 0.6 meters to make bows. Sean says that they can make 2 bows since 12.6 ÷ 0.6 = 2.1. Kyle says they can make 21 bows since 12.6 ÷ 0.6 = 21. Who is right? A. What were Sean and Kyle trying to figure out?
They were thinking of it as a division problem.
They were trying to figure out the bows that they can make.

B. Who made a mistake, Sean or Kyle? Explain the error.
12.6 ÷ 0.6 = 2.1. It is false because the sides are not equal.
We need to multiply the numerator and denominator by 10. Then the division problem will be:
126/6 = 21
That’s why sean did a mistake.

C. How can you check Sean and Kyle’s answers without doing the division yourself?

For Problems 7-12, find the quotient.

Question 7.
92.8 ÷ 16
_____________________
How to divide decimals:
Multiply the divisor by as many 10’s as necessary until we get a whole number. Remember to multiply the dividend by the same number of 10s.
– If the divisor is not a whole number, move the decimal point to the right to make it a whole number and move the decimal point in dividend to the same number of places.
– Keep dividing until the answer repeats.
– Put the decimal point directly above the decimal point in the dividend.
– Multiply the quotient by the divisor to check the answer
Step-by-step explanation:
Long division: 92.8/16 = 5.8 Therefore, the quotient is 5.8

Question 8.
0.56 ÷ 0.025
__________
How to divide decimals:
Multiply the divisor by as many 1000s as necessary until we get a whole number. Remember to multiply the dividend by the same number of 1000s.
– If the divisor is not a whole number, move the decimal point to the right to make it a whole number and move the decimal point in dividend to the same number of places.
– Keep dividing until the answer repeats.
– Put the decimal point directly above the decimal point in the dividend.
– Multiply the quotient by the divisor to check the answer
Step-by-step explanation:
Long division: 0.56/0.025 = 22.4 Therefore, the quotient is 22.4

Question 9.
40.32 ÷ 4.8
_______
How to divide decimals:
Multiply the divisor by as many 10’s as necessary until we get a whole number. Remember to multiply the dividend by the same number of 10s.
– If the divisor is not a whole number, move the decimal point to the right to make it a whole number and move the decimal point in dividend to the same number of places.
– Keep dividing until the answer repeats.
– Put the decimal point directly above the decimal point in the dividend.
– Multiply the quotient by the divisor to check the answer
Step-by-step explanation:
long division: 40.32/4.8 = 8.4 Therefore, the quotient is 8.4

Question 10.
24.186 ÷ 6
____________
How to divide decimals:
Multiply the divisor by as many 10’s as necessary until we get a whole number. Remember to multiply the dividend by the same number of 10s.
– If the divisor is not a whole number, move the decimal point to the right to make it a whole number and move the decimal point in dividend to the same number of places.
– Keep dividing until the answer repeats.
– Put the decimal point directly above the decimal point in the dividend.
– Multiply the quotient by the divisor to check the answer
Step-by-step explanation:
Long division: 24.186/6 = 4.031 Therefore, the quotient is 4.031

Question 11.
198.86 ÷ 6.1
__________
How to divide decimals:
Multiply the divisor by as many 10’s as necessary until we get a whole number. Remember to multiply the dividend by the same number of 10s.
– If the divisor is not a whole number, move the decimal point to the right to make it a whole number and move the decimal point in dividend to the same number of places.
– Keep dividing until the answer repeats.
– Put the decimal point directly above the decimal point in the dividend.
– Multiply the quotient by the divisor to check the answer
Step-by-step explanation:
Long division: 198.86/6.1 = 32.6 Therefore, the quotient is 32.6

Question 12.
5.44 ÷ 3.4
__________
How to divide decimals:
Multiply the divisor by as many 10’s as necessary until we get a whole number. Remember to multiply the dividend by the same number of 10s.
– If the divisor is not a whole number, move the decimal point to the right to make it a whole number and move the decimal point in dividend to the same number of places.
– Keep dividing until the answer repeats.
– Put the decimal point directly above the decimal point in the dividend.
– Multiply the quotient by the divisor to check the answer
Step-by-step explanation:
Long division: 5.44/3.4 = 1.6 Question 13.
A rectangle has the area shown. If the length of the rectangle is 6.7 meters, what is the width in meters?
_____________________
Area = 59.63 square metres
The length of a rectangle is 6.7 metres
We need to find out the width. Let it be W.
We know that, the area of a rectangle = length x width
Width = area/length
59.63 = 6.7 x W
59.63/6.7 = W
8.9 = W
Therefore, the width of the rectangle is 8.9 metres. Question 14.
A class of 25 students collects $175.75 for a charity. Each student collects the same amount. How much money is collected by each student? Answer: The total number of students = 25 The total amount the students collected was$175.75
The amount students collected each = X
X = 175.75/25
X = 7.03
Therefore, each student collected $7.03 for charity. Question 15. A bus travels 358.5 miles in 6.2 hours at a constant speed. What is the bus’s speed in miles per hour to the nearest tenth? _____________________ Answer: We know that speed = distance/time distance is given 358.5 miles. time is given that 6.2 hours Now apply the formula. speed = 358.5/6.2 speed = 57.82 The nearest tenth value is 58. Speed = 58 miles per hour. Therefore, the bus speed is 58 miles per hour. Question 16. Roberto cycled 66.5 miles in 3.5 hours. If he cycled at a constant speed, how far did he cycle in 1 hour? _____________________ Answer: The number of miles Roberto cycled = 66.5 The number of hours he cycled = 3.5 We know that, distance = speed x time Constant speed = total distance covered/total time taken constant speed = 66.5/3.5 constant speed = 19 miles per hour Therefore, he can cycle 19 miles per hour at a constant speed. In one hour, he can cycle 19 miles. Question 17. Financial Literacy Jamilla paid$8.40 for sliced turkey. The amount she bought is shown. How much did Jamila pay per pound for the sliced turkey?
_____________________ The amount she paid for sliced turkey = $8.40 The cost of sliced turkey per pound = 2.40 The amount she paid per pound for sliced turkey = T T = 8.40/2.40 T =$3.5
Therefore, she paid $3.5 per pound. Question 18. Eight friends purchase groceries for a camping trip and agree to share the total cost equally. They spend$345.20 at the grocery store. How much should each friend pay?
_____________________
The total number of friends = 8
The total cost they spend on groceries = $345.20 The amount each friend should pay = X X = 345.20/8 X =$43.15
Therefore, each friend should pay $43.15 Question 19. Pedro’s family drove 495.88 miles. Pedro calculated that the car travelled 32.2 miles per gallon of gas. How many gallons of gas did the car use? Show your work. _____________________ Answer: The total number of miles Pedro’s family drove = 495.88 The number of miles per gallon car travelled = 32.2 The number of gallons of gas did the car used = G Therefore, the number of gallons of gas a car used is 15.4 gallons. For Problems 20-23, find the quotient. Question 20. 5.44 ÷ 3.4 ____________ Answer: How to divide decimals: Multiply the divisor by as many 10’s as necessary until we get a whole number. Remember to multiply the dividend by the same number of 10s. – If the divisor is not a whole number, move the decimal point to the right to make it a whole number and move the decimal point in dividend to the same number of places. – Keep dividing until the answer repeats. – Put the decimal point directly above the decimal point in the dividend. – Multiply the quotient by the divisor to check the answer Step-by-step explanation: Long division: 5.44/3.4 = 1.6 Therefore, the quotient is 1.6 Question 21. 0.14 ÷ 0.025 __________ Answer: How to divide decimals: Multiply the divisor by as many 1000’s as necessary until we get a whole number. Remember to multiply the dividend by the same number of 1000s. – If the divisor is not a whole number, move the decimal point to the right to make it a whole number and move the decimal point in dividend to the same number of places. – Keep dividing until the answer repeats. – Put the decimal point directly above the decimal point in the dividend. – Multiply the quotient by the divisor to check the answer Step-by-step explanation: Long division: 0.14/0.025 = 5.6 Therefore, the quotient is 5.6 Question 22. 40.32 ÷ 4.8 __________ Answer: How to divide decimals: Multiply the divisor by as many 10’s as necessary until we get a whole number. Remember to multiply the dividend by the same number of 10s. – If the divisor is not a whole number, move the decimal point to the right to make it a whole number and move the decimal point in dividend to the same number of places. – Keep dividing until the answer repeats. – Put the decimal point directly above the decimal point in the dividend. – Multiply the quotient by the divisor to check the answer Step-by-step explanation: long division: 40.32/4.8 = 8.4 Therefore, the quotient is 8.4 Question 23. 198.86 ÷ 6.1 __________ Answer: How to divide decimals: Multiply the divisor by as many 10’s as necessary until we get a whole number. Remember to multiply the dividend by the same number of 10s. – If the divisor is not a whole number, move the decimal point to the right to make it a whole number and move the decimal point in dividend to the same number of places. – Keep dividing until the answer repeats. – Put the decimal point directly above the decimal point in the dividend. – Multiply the quotient by the divisor to check the answer Step-by-step explanation: Long division: 198.86/6.1 = 32.6 Therefore, the quotient is 32.6 Lesson 4.4 More Practice/ Homework Divide Multi-Digit Decimals Question 1. Fiona can assemble a bookcase in 0.8 hours. She works for 4 hours. How many bookcases can she assemble in this time? _____________________ Answer: The time she can assemble a bookcase = 0.8 The number of hours she works = 4 The number of bookcases she can assemble = T Therefore, she can assemble 5 bookcases in time. Question 2. STEM 1 kg ≈ 2.2 lb. About how many kilograms are there in 34.76 pounds? _____________________ Answer: Already given that 1 kg = 2.2 lb We need to find out the number of kilograms in 34.76 pounds. we will go for a cross-multiplication process. Therefore, there are 15.8 kgs are in 34.76 pounds Question 3. Reason Stanley can purchase a 15.4-ounce bottle of olive oil for$5.39 or a 23.6-ounce bottle of olive oil for $7.08. Which bottle is the better buy? Explain. Answer: The cost of a 15.4-ounce bottle is$5.39
The cost of the 23.6-ounce bottle is $7.08 The better one to buy is a 23.6-ounce bottle. For both bottles, the difference is 23.6 – 15.4 = 8.2-ounces The cost difference is 7.08 – 5.39 =$1.69
By comparing differences in ounces and cost it is better to take 23.6 – an ounce bottle. So that we can get profit.
For example, if we buy 2 bottles that are 15.4-ounces we have to keep $10.78 and we get a 30.8-ounce bottle If we take one 23.6-ounce bottle we have to keep$7.08
According to my choice taking one 23.6-ounce bottle for $7.08 is better. We have to compare the cost and quantity so that we get to know which is better. Question 4. Use Structure Susan divided 38.08 by 23.80. A. Write an expression with a whole-number divisor to solve the problem. Will both the divisor and the dividend be whole numbers? Why or why not? _____________________ Answer: The expression is 38.08/23.08 Yes, it can be a whole number when we multiply with the numerator and denominator by 100. Then the expression will be: 3808/2308 Now we can write the problem in ling division format. B. Find the quotient. 38.08 ÷ 23.80 = ______ Answer: How to divide decimals: Multiply the divisor by as many 100s as necessary until we get a whole number. Remember to multiply the dividend by the same number of 100s. – If the divisor is not a whole number, move the decimal point to the right to make it a whole number and move the decimal point in dividend to the same number of places. – Keep dividing until the answer repeats. – Put the decimal point directly above the decimal point in the dividend. – Multiply the quotient by the divisor to check the answer Step-by-step explanation: we multiply with the numerator and denominator by 100. Then the expression will be: 3808/2308 Now we can write the problem in ling division format. Therefore, the quotient is 1.64991 Question 5. Donna is a pacer in a marathon. She finishes 26.2 miles in 3 hours 45 minutes (3.75 hours) while running at a constant speed. What is Donna’s speed in miles per hour to the nearest whole number? Answer: The miles she finishes in a marathon = 26.2 The time she used to complete the miles = 3 hours 45 minutes The speed of Donna’s in miles per hour = X To obtain miles per hour, we simply divide distance/time. So in this case, we get: X = 26.2/3.75 X = 6.98 miles per hour. Therefore, the nearest whole number is 7mph. Question 6. Math on the Spot Sadie spent$12.46 to download songs that were on sale for $0.89 each. How many songs did she download? Answer: The cost Sadie spent to download songs was$12.46
The cost of each song = $0.89 The number of songs did Sadie download = S Therefore, Sadie downloads 14 songs. For Problems 7-10, find the quotient. Question 7. 3.78 ÷ 12.6 __________ Answer: How to divide decimals: Multiply the divisor by as many 10’s as necessary until we get a whole number. Remember to multiply the dividend by the same number of 10s. – If the divisor is not a whole number, move the decimal point to the right to make it a whole number and move the decimal point in dividend to the same number of places. – Keep dividing until the answer repeats. – Put the decimal point directly above the decimal point in the dividend. – Multiply the quotient by the divisor to check the answer Step-by-step explanation: Long division: 3.78/12.6 = 0.3 Multiplying the numerator and denominator by 10 then 37.8/126 Therefore, the answer is 0.3 Question 8. 5.535 ÷ 1.23 _______ Answer: How to divide decimals: Multiply the divisor by as many 10’s as necessary until we get a whole number. Remember to multiply the dividend by the same number of 10s. – If the divisor is not a whole number, move the decimal point to the right to make it a whole number and move the decimal point in dividend to the same number of places. – Keep dividing until the answer repeats. – Put the decimal point directly above the decimal point in the dividend. – Multiply the quotient by the divisor to check the answer Step-by-step explanation: Long division: 5.535/1.23 = 4.5 Therefore, the quotient is 4.5 Question 9. 322.56 ÷ 25.6 __________ Answer: How to divide decimals: Multiply the divisor by as many 10’s as necessary until we get a whole number. Remember to multiply the dividend by the same number of 10s. – If the divisor is not a whole number, move the decimal point to the right to make it a whole number and move the decimal point in dividend to the same number of places. – Keep dividing until the answer repeats. – Put the decimal point directly above the decimal point in the dividend. – Multiply the quotient by the divisor to check the answer Step-by-step explanation: Therefore, the quotient is 12.6 Question 10. 270.72 ÷ 6 __________ Answer: How to divide decimals: Multiply the divisor by as many 10’s as necessary until we get a whole number. Remember to multiply the dividend by the same number of 10s. – If the divisor is not a whole number, move the decimal point to the right to make it a whole number and move the decimal point in dividend to the same number of places. – Keep dividing until the answer repeats. – Put the decimal point directly above the decimal point in the dividend. – Multiply the quotient by the divisor to check the answer Step-by-step explanation: Therefore, the quotient is 45.12 Test Prep Question 11. Tabitha collects quarters from different states. The value of her collection is$17.75. How many quarters does she have in her collection?
Question 12.
Roast beef at a deli sells for $6.40 per pound. A package of roast beef costs$16.64. How many pounds of roast beef are in the package?
The cost of roast beef per pound=$6.40 The cost of a package of roast beef=$16.64
The number of pounds of roast beef is in the package=X
X = 16.64/6.40
X = 2.6 pounds
Therefore, a package has 2.6 pounds of roast beef is present.

Question 13.
A grass fertilizer is sold in 5-pound bags. Stuart calculates that he needs enough fertilizer to cover 4,350 square feet. If each pound of fertilizer covers 362.5 square feet, how many 5-pound bags does Stuart need to buy?
_____________________
The square feet Stuart calculates enough fertilizer = 4350
The pounds that covers each square feet = 362.5
The number of 5-pound bags does Stuart need to buy=X
X = 4350/362.5
X=12
Therefore, he need to buy 12 5-pound bags.

Question 14.
The perimeter of a square is 23.28 inches. What is the length of each side of the square?
A. 5.28 inches
B. 5.43 inches
C. 5.82 inches
D. 6.04 inches
The perimeter of a square:
The perimeter of any closed geometrical object is defined as the distance around that object. The perimeter of a square is the distance covered by its four sides.  Perimeter surrounds or outlines the shape in a two-dimensional plane. Since all the sides of a square are equal, therefore, the perimeter of the square will be 4 times its side, i.e. 4 × Side. It is measured in units, such as m, cm, in, ft, etc.
Formula:
The formula to find the perimeter of a square is given below:
The perimeter of a square = 4 x side
23.28 = 4 x side
Side = 23.28/4
side = 5.82 inches Question 15.
Which expressions have a value of 21.06? Select all that apply.
A. 63.18 ÷ 3
B. 6.318 ÷ 3.0
C. 6.318 ÷ 0.3
D. 6318 ÷ 0.3
E. 631.8 ÷ 0.03
F. 631.8 ÷ 30 go for option verification and which option is getting the given answer that option will be the right.

Spiral Review

Question 16.
A rectangular driveway is 23.5 feet long and 9.25 feet wide. What is the area of the driveway in square feet?
To calculate the square footage of any area, all you need to do is multiply the length and the width of the area (how tall x how wide). The unit of measure will impact how you calculate square footage because, well, square feet are the most common measurement.
The formula for the square feet:
To calculate feet squared (or sq. ft. for short), determine the length and width of the area you are working with, measured in feet. Multiply the length by the width and you’ll have the square feet. Here’s a basic formula you can follow:
Length (in feet) x width (in feet) = area in sq. ft.
According to the above formula, substitute the values that are given.
23.5 x 9.25 = 217.375
Therefore, the area of square feet is 217.375 square feet.

Question 17.
A stationery store ships 5,712 pounds of paper in boxes that each hold 24 pounds of paper. How many boxes are needed?
The number of pounds of paper a stationery store ships = 5712
The number of pounds of paper each box holds = 24
The number of boxes is needed = X
X = 5712/24
X = 238
therefore, 238 boxes are needed.

Question 18.
Write the following numbers in order from least to greatest: -5.6, 7.95, 2.06, 0, -6.89
In Mathematics, the process of arranging the numbers from smallest value to largest value is called ascending order. The numbers are arranged from left to right in increasing order.
Decimals in ascending order:
To arrange the list of decimal numbers, first, check which decimal has the least whole number part. Now arrange the decimals with increasing order of whole number part.
If the whole number part is the same for two or more decimals, then arrange the decimals according to the decimal part after th decimal point, in ascending order.
The above-given numbers are : -5.6, 7.95, 2.06, 0, -6.89
Now arrange in a order: -5.6, -6.89, 0 , 2.06, 7.95

Question 19.
Shameka buys a blue garden hose that is 16.5 feet long and a green garden hose that is 14.75 feet long. How many feet of the garden hose does she buy?