We included HMH Into Math Grade 5 Answer Key PDF Module 2 Lesson 4 Use Partial Quotients to make students experts in learning maths.
HMH Into Math Grade 5 Module 2 Lesson 4 Answer Key Use Partial Quotients
I Can use partial quotients to divide a multi-digit number by a 2-digit divisor.
Spark Your Learning
Team Mud Footers is participating in an obstacle course marathon. For each obstacle the team completes, $99 is added to their prize bank. The team completes 12 obstacles. If each member takes home $66, how many members are on the team?
Answer:
Given,
Team Mud Footers is participating in an obstacle course marathon.
For each obstacle the team completes, $99 is added to their prize bank.
The team completes 12 obstacles.
Total money = $99 x 12 = $1,188
and each member is taking $66 to home
So, $1,188 ÷ $66 = 18
Therefore, there are 18 members are on the team.
There are ___ members on the team.
Answer:
There are 18 members on the team.
Turn and Talk Why would there not be a remainder for a division problem modeling the context of this situation?
Build Understanding
1. Another team adds $594 to their prize bank. If each member takes home $54, how many members are on the team?
A. What equation can you write to model the number of team members that complete the obstacles?
_____________________________
B. About how many team members complete the obstacles? Show your work.
_____________________________
C. Find the number of members that complete the
obstacles by dividing. Use partial quotients.
- What number is the divisor and what number is the dividend?
____________________________________ - Use your estimate. What multiple of the divisor can be subtracted from the dividend? What is this multiple?
____________________
Answer:
Another team adds $594 to their prize bank.
594 ÷ 54 = n (number of team members)
n = 594 ÷ 54
n = 11
54 is the divisor and 594 the dividend
Connect to Vocabulary
Sometimes it is easier to divide greater numbers in a few small steps. Dividing with partial quotients means subtracting multiples of the divisor from the dividend until the remaining number is less than the divisor. The partial quotients are then added together to find the whole-number quotient.
- Subtract this multiple from the dividend. What multiple of the divisor can be subtracted from the remaining number? What is this multiple?
- Subtract. What is the remainder?
D. How many members are on the team?
Turn and Talk How do you know if you can subtract more groups of the divisor?
Step It Out
2. A county-wide field day registers 1,468 participants. Each participant receives a ribbon. The ribbons are bundled in packages of 25. How many packages of ribbons are needed?
A. Write a division equation to model the number of packages of ribbons that are needed. What is a reasonable estimate for the number of packages?
____________________________
B. Divide using partial quotients.
- Subtract multiples of the divisor from the dividend until the remaining number is less than the multiple.
- Subtract smaller multiples of the divisor until the remaining number is less than the divisor.
- Add the partial quotients to find the whole-number quotient.
C. Write the whole-number quotient and remainder.
______________________________
D. How many packages of ribbons are needed?
______________________________
Answer:
Given,
A county-wide field day registers 1,468 participants.
Each participant receives a ribbon.
The ribbons are bundled in packages of 25.
Let the number of packages be n
n = 1468 ÷ 25
The number 1468 is called the numerator or dividend, and the number 25 is called the denominator or divisor.
n = 1468 ÷ 25
58 R 18
58 is the quotient and 18 is the remainder.
Approximately 28 packages of ribbons are needed.
Check Understanding Math Board
Question 1.
There are 439 flower seeds in a packet. A gardener puts 36 seeds in each seed starter tray. How many trays can the gardener fully fill with one packet of seeds? _____
Answer:
Given,
There are 439 flower seeds in a packet.
A gardener puts 36 seeds in each seed starter tray.
So, 439 ÷ 36 =
Therefore, 12 trays can the gardener fully fill with one packet of seeds.
Divide.
Question 2.
728 ÷ 28 _____
Answer:
The quotient is 26.
Question 3.
5,836 ÷ 39 ___
Answer:
The quotient is 149 and the remainder is 25.
On Your Own
Question 4.
There are about 1,932 calories in a 14-pound watermelon. How many calories are there in 1 pound of the watermelon?
Answer:
Given,
There are about 1,932 calories in a 14-pound watermelon.
So, 1,932 ÷ 14 = 138
Question 5.
A third team earns $891 in their prize bank. Each team member receives $81. How many members are on this team?
Answer:
Given,
A third team earns $891 in their prize bank. Each team member receives $81.
891 ÷ 81 = 11
Thus there are 11 members on this team.
Question 6.
A class of 24 students collects 864 cans for recycling. Each student collects the same number of cans. How many cans does each student collect?
Answer:
Given,
A class of 24 students collects 864 cans for recycling.
Each student collects the same number of cans.
864 ÷ 24 = 36
Thus each students can collect 36 cans for recycling.
Divide.
Question 7.
682 ÷ 31
Answer: 22
The quotient is 22 and the remainder is 0.
Question 8.
2,352 ÷ 48
Answer: 49
The quotient is 49 and the remainder is 0.
Question 9.
7,558 ÷ 62
Answer:
The quotient is 121 and the remainder is 56.
Question 10.
Use Repeated Reasoning Alec and Wanda divide 9,237 by 24 using partial quotients. They both use a multiple 720. If they each divide correctly, will they both get the same answer? Explain.
Answer:
Alec and Wanda divide 9,237 by 24 using partial quotients.
9237 ÷ 24 = 384 R 21
The quotient is 384 and the remainder is 21.
9237 ÷ 720 = 12 R 597
The quotient is 12 and the remainder is 597.
No they both will not get the same answer.
I’m in a Learning Mindset!
How do I break down dividing with 2-digit divisors into smaller steps?
Answer:
Divide the first number of the dividend by the first digit of the divisor. Write the result of this division in the space of the quotient. Multiply the digit of the quotient by the divisor, write the result beneath the dividend and subtract it.