Category 1: Mental Math & Estimation
Question:
What's 360 ÷ 40?
What is 9
Question:
Find the quotient using partial quotients:
336 ÷ 21
Answer:
What is 16
Question:
A school has 1,680 soccer balls to share equally among 24 teams.
How many soccer balls does each team receive?
Answer:
What is 70 soccer balls?
Question:
What is:
2.16 ÷ 4
Answer:
What is 0.54?
Question:
What is:
8.24 ÷ 4
Answer:
What is 2.06
Question:
What's 2,100 ÷ 30 = ?
What is 70
Question:
Find the quotient:
570 ÷ 30
Answer:
What is 19
Question:
A farm has 2,400 apple trees. If 80 trees can be planted on each acre, how many acres are needed?
Answer:
What is 30 acres?
Question:
What is:
1.35 ÷ 3
Answer:
What is 0.45?
Question:
What is:
4.71 ÷ 3
Answer:
What is 1.57?
Question:
Use compatible numbers
to estimate 364 ÷ 57 = ?
Answer : about 6
Because 360 ÷ 60 = 6
300
Question:
Use partial quotients to solve:
984 ÷ 24
Answer:
What is 41
Question:
A school rents a reunion space for $975. If 65 people pay the same amount, how much does each person pay?
Answer:
What is $15?
Question:
What is:
2.38 ÷ 7
Answer:
What is 0.34?
Question:
What is:
1.76 ÷ 8
Answer:
What is 0.22?
Question :
Use compatible numbers to estimate
748 ÷ 92 =?
Answer: About 8
Because 800 ÷ 100 = 8.
Question:
Use partial quotients to solve:
3,657 ÷ 23
Answer:
What is 159
Question:
A summer camp has 188 campers. If there are 22 campers per cabin, what is the least number of cabins needed?
Answer:
What is 9 cabins?
Why?
188 ÷ 22 = 8 R12, so they need 9 cabins.
Question:
Use place value to explain why
2.58 ÷ 3 = 0.86.
Answer:
Regroup the 2 ones into 20 tenths, making 25 tenths. Divide among 3 groups, then regroup the remaining tenth into 10 hundredths. Each group gets 0.86.
Question:
What is:
5.36 ÷ 2
Answer:
What is 2.68?
Question:
Use compatible numbers to estimate
168 ÷ 45 = ?.
Answer: About 4
Because 180 ÷ 45 = 4.
Question:
Solve using partial quotients:
789 ÷ 19
Answer:
What is 41 R10?
Check:
19 × 41 = 779
779 + 10 = 789
Question:
A student has 342 craft sticks. She uses 30 sticks to make each toy cabin.
How many complete cabins can she make, and how many sticks are left?
Answer:
What is 11 cabins with 12 sticks left?
Check:
30 × 11 = 330
342 − 330 = 12
Question:
Three friends share $2.58 equally. How much money does each friend receive?
Answer:
What is $0.86 each?
Check:
0.86 × 3 = 2.58
The decimal model and $2.58 ÷ 3 example come directly from the Topic 6.3 material.
Question:
A teacher has 2.38 liters of juice and divides it equally among 7 containers. How many liters of juice go into each container?
Answer:
What is 0.34 liters per container?
Check:
0.34 × 7 = 2.38
The Topic 6.3 practice includes decimal division problems such as 8.24 ÷ 4, 4.71 ÷ 3, 1.76 ÷ 8, and 5.36 ÷ 2.