2.1 - 2.2
579 divided by 3
193
Use partial quotients to solve: 96 ÷ 12
8
Estimate:
96 ÷ 12
Directions:
Round the dividend to a friendly number and use compatible numbers to estimate the quotient. Do not solve exactly.
About 8
DOUBLE JEOPARDY
There are 135 candies and 12 kids. The candies are shared equally. How much candy does each child get?
Directions:
Divide to find the quotient and remainder. Explain what the remainder means in this situation.
Answer:
135 ÷ 12 = 11 R3 → Each child gets 11 candies, 3 candies are left over.
A zoo has 242 bananas to feed the monkeys. There are 18 monkeys.
Directions:
Estimate how many bananas each monkey gets by rounding the numbers. Show your work.
242 ≈ 240, 18 ≈ 20 → 240 ÷ 20 ≈ 12 bananas per monkey
209/8
26 R1
Model 154/14 using base 10 blocks.
Mr. Choi will reveal
A teacher has 142 pencils and puts them into boxes of 14 pencils each.
Directions: Use compatible numbers to estimate how many boxes the teacher can fill. Do not find the exact answer.
Estimated Answer:
142 ≈ 140 → 140 ÷ 14 ≈ 10 boxes
Problem:
A store received 148 pencils. They are packaged in boxes that hold 12 pencils each.
Directions:
Divide and answer: how many pencils will be left over?
148 ÷ 12 = 12 R4 → 12 full boxes, 4 pencils left over.
A wizard has 356 magic potions and wants to put them in 14 bottles.
Directions:
Use partial quotients to figure out how many potions go in each bottle. Show your steps.
356 − 140 = 216 → 216 − 140 = 76 → 76 − 70 = 6
10 + 10 + 5 = 25 R6 → 25 potions per bottle, 6 leftover
726 divided by 9=?
80 R6
Solve using partial quotients: 257 ÷ 14
18 R 5
Estimate:
378 ÷ 19
Directions:
Round the divisor to the nearest friendly ten and adjust the dividend if needed. Explain your estimate.
19 ≈ 20 and 378 is about 400 → 400 ÷ 20 ≈20
A library has 275 books and 15 shelves. They want to place the books evenly.
How many books will fit evenly on each shelf?
275 ÷ 15 = 18 R5 → Each shelf has 18 books; 5 books are left over
A bakery made 468 chocolate chip cookies for a giant party. Each box holds 24 cookies.
Directions:
Divide using partial quotients or long division. Interpret the remainder—how many cookies won’t fit in a box?
468 ÷ 24 = 19 R12 → 19 full boxes, 12 extra cookies will not fit
1932/8
241 r4
A factory packages 470 pencils into boxes of 18 pencils each.
How many full boxes can be made? Solve using PARTIAL QUOTIENTS
26 boxes
A bookstore received 923 books. Each display table holds about 23 books.
Directions:
Estimate how many tables are needed by rounding to compatible numbers. Show or explain your reasoning.
923 ≈ 900 → 900 ÷ 20 ≈ 45 tables
Problem:
A bakery made 326 cupcakes. They are packed in boxes of 18 cupcakes each.
How many boxes are needed for all the cupcakes?
326 ÷ 18 = 18 R2 → 18 full boxes, 2 cupcakes leftover (need an extra box)
19 boxes are needed for all the cupcakes
DOUBLE JEOPARDY
A school is preparing 1,157 pencils for giveaways. Each bag holds 28 pencils.
How many full bags can the school make?
After giving out full bags, if the school wants to use the remainder to create mini-bags with 3 pencils each, how many mini-bags can they make?
Directions:
Solve step by step. First, divide to find full bags. Then use the remainder to make mini-bags.
Step 1: 1,157 ÷ 28 = 41 R9 → 41 full bags, 9 pencils left
Step 2: 9 ÷ 3 = 3 mini-bags → 3 mini-bags created from leftover pencils
Mr. Choi has 847,395 stickers to pack into 7 equal-sized boxes for students.
Each box must have the same number of stickers.
How many stickers go in each box?
How many stickers will be left over?
121,056 stickers will go in each box
3 will be left over.
Model 216/18 is using base 10 blocks.
Mr. Choi will reveal
A school raised 1,487 dollars for a field trip. Each bus costs about 48 dollars.
The parking lot can only fit 7 buses at once. How many times can the parking lot be fully filled with buses?
Directions:
Estimate how many buses the school can afford by rounding both numbers wisely. Justify why your estimate makes sense.
1,487 ≈ 1,500 → 1,500 ÷ 50 ≈ 30 buses
30 ÷ 7 = 4 R2
Four times
DOUBLE JEOPARDY
Problem:
A company earned $48,726 in donations this year. They want to distribute the money evenly among 27 local charities.
Directions:
How much money does each charity get, and how much is left over?
48,726 ÷ 27 = 1,805 R21 → Each charity gets $1,805, and $21 is left over.
A superhero charity raised 56,842 dollars. They want to:
Share the money evenly with 38 hero families.
Use any leftover money to buy superhero capes costing $5 each.
Directions:
First, divide to find each family’s share. Then figure out how many capes can be purchased with the remainder.
Answer:
Step 1: 56,842 ÷ 38 = 1,495 R12 → Each family gets $1,495; $12 leftover
Step 2: 12 ÷ 5 = 2 → They can buy 2 capes with $2 remaining