We included HMH Into Math Grade 4 Answer Key PDF Module 6 Lesson 3 Interpret Remainders to make students experts in learning maths.
HMH Into Math Grade 4 Module 6 Lesson 3 Answer Key Interpret Remainders
I Can solve a division problem and interpret the remainder in the context of the problem.
Spark Your Learning
Aiden is building solar toy cars in his science club. The cars collect and use energy from the sun for power. Aiden buys 18 wheels. Each car needs 4 wheels. How many cars can Aiden build?
Show your thinking.
Aiden can build 4 cars with 16 wheels and 2 wheels will be leftover.
Turn and Talk What is the remainder in this problem? What does the remainder mean?
The reminder in the problem is 2, the reminder means the leftover number of wheels.
1. There are 57 students going to the science museum. Each van can take 5 students. How many vans are needed to take all the students?
Use a visual model to show how the students are divided into groups of 5.
A. For 57 ÷ 5, the whole-number quotient is and the remainder is ___, or ___ r ___.
B. What does the whole-number quotient mean in this problem?
C. What does the remainder mean in this problem?
D. How can you use the whole-number quotient and the remainder to solve the problem?
E. To take all the students, ___ vans are needed.
A. For 57 ÷ 5, the whole-number quotient is 11 and the remainder is 2
B. The number of vans needed is the whole number quotient in this problem.
C. The reminder means the number of students leftover.
D. We can multiply the quotient with reminder and then divide it with the devisor to solve the problem.
E. 12 vans are needed to take all the students.
Turn and Talk How can you use the whole-number quotient and remainder to answer these questions? How many vans will be full? How many students will ride in the van that is not full?
Step It Out
2. Amanda has 73 inches of wire for a science experiment. She needs to cut all the wire into 8 identical pieces. How many inches long will each piece be?
A. Draw an array to show 73 divided into 8 equal groups.
B. For 73 ÷ 8, the whole-number quotient is __ and the remainder is ___.
For 73 ÷ 8, the whole-number quotient is 9 and the remainder is 1.
C. The remainder represents the amount of wire left over. Divide that amount into 8 equal groups and write the result as a fraction of a whole inch.
D. Each piece of wire will be ___ inches long.
Each piece of wire will be 9 inches long.
Turn and Talk Why is this problem a good situation to write the remainder as a fraction?
Check Understanding Math Board
Four Ways to Interpret a Remainder
- Use only the whole-number quotient.
- Use only the remainder.
- Add 1 to the whole number quotient to account for the remainder.
- Include the remainder as a fraction.
Maya needs 44 batteries for smoke alarms. The batteries come in packs of 6. How many packs does Maya need to buy?
- For 44 ÷ 6, the whole-number quotient is ___ and the remainder is ___.
- Maya needs to buy ___ packs.
- Circle how you interpreted the remainder to solve the problem.
For 44 ÷ 6, the whole-number quotient is 7 and the remainder is 2.
Maya needs to buy 7 packs
The last row is the reminder that is the leftover smoke alarms.
On Your Own
Use Tools Use objects or draw visual models to represent each division problem. Then explain how you interpreted the remainder to solve the problem.
Tara wants to have 30 slices of pizza for a party so that each person can have 2 slices. How many of these pizzas does Tara need to order?
Tara wants to have 30 slices of pizza for a party so that each person can have 2 slices.
Each pizza has 8 slices
If tara order 4 pizza’s, 8 x 4 = 32
30 slices can be eaten by 15 people and 2 will be leftover.
Izra rides his bike 45 miles in 4 days. He rides the same distance each day. How many miles does Izra ride each day?
Izra rides his bike 45 miles in 4 days. He rides the same distance each day.
45 ÷ 4, the whole number quotient is 11 and reminder is 1
So, Izra ride 11 miles each day.
Desiree makes 56 candles to sell at the county fair. She packs as many of these boxes as possible. How many boxes can Desiree fill?
Desiree makes 56 candles to sell at the county fair, each box can hold 6 candles
56 ÷ 6
The whole number quotient is 9 and reminder is 2
Desiree can fill 9 boxes and 2 are leftover.
I’m in a Learning Mindset!
What parts of interpreting remainders can I do on my own? What parts do I need help with?