Lesson 29: Solve division word
problems
involving
multi-digit
division with group size unknown and
the number of groups unknown.
• Complete the following conversions.
• 1 ton = ______ lb
• How many pounds are in 1 ton?
• 2,000 lb
• 1 km = ______ m
• How many meters are in 1 kilometer?
• 1,000 m
• 1 qt = ______ pt
• How many pints are in 1 quart?
• 2 pt
• 1 cm = ______ mm
• How many millimeters are in 1 centimeter?
• 10 mm
• Complete the following conversions.
• 2.67 tons = ______ lbs
• What is our conversion factor?
• 1 ton = 2,000 lbs
• Using your conversion factor, solve to show how many lbs are in 2.67 tons.
• 2.67 x 2,000 = 5,340 lbs
• 0.084 km = ______ m
• What is our conversion factor?
• 1 km = 1,000 m
• Using your conversion factor, solve to show how many m are in 0.084 km.
• 0.084 x 1,000 = 84 m
• Complete the following conversions.
• 2.75 qt = ______ pt
• What is our conversion factor?
• 1 qt = 2 pt
• Using your conversion factor, solve to show how many pt are in 2.75 qt.
• 2.75 x 2 = 5.5 pt
• 843 cm = ______ mm
• What is our conversion factor?
• 1 cm = 10 mm
• Using your conversion factor, solve to show how many mm are in 843 cm.
• 843 x 10 = 8,430 mm
• In your notebooks, solve two of the following problems using
the standard algorithm.
• 8.61 ÷ 21
• 0.41
• 4.9 ÷ 14
• 0.35
• 24 ÷ 16
• 1.5
A one-year (52 week) subscription to a weekly magazine is
$39.95. Greg calculates that he would save $219.53 if he
subscribed to the magazine instead of purchasing it each week at
the store. What is the price of the individual magazine at the
store?
Each magazine costs $4.99.
4.99
52
$259.48
-208
514
468
468
468
Multiples of 52
52 -- 1
104 -- 2
156 -- 3
208 -- 4
260 -- 5
312 -- 6
364 – 7
416 – 8
468 – 9
$219.53
+ 39.95
$259.48
• Lamar has 1354.5 kilograms of potatoes to deliver in equal amounts to 18
stores. 12 of the stores are in the Bronx. How many kilograms of potatoes
will be delivered to stores in the Bronx?
• Will the amount delivered to the stores in the Bronx be more or less than
half of the total amount of potatoes delivered? How do you know?
• More than half because more than half of the stores are in the Bronx.
• Let’s solve this together.
• How can you know that your final answer is reasonable? Was
the amount delivered to the Bronx stores more than half of the
total?
• How did you determine if your decimal was placed reasonably
in your product?
• You were multiplying by 12 so your answer needed to be more than 750
but less than 7,500. The only place that makes sense to put the decimal
made the answer 903 – not 90.3 or 9,030.
• Valerie uses 12 oz of detergent each week for her laundry. If there are 75 oz
of detergent in the bottle, in how many weeks will she need to buy a new
bottle of detergent? Explain how you know.
• In your journals, solve this problem with your tablemates.
• The quotient was more than 6, why can’t Valerie wait another week before buying
detergent?
• The quotient is the number of weeks the detergent will last. It will last a little more
than 6 weeks, but she won’t have enough for all the laundry in the seventh week.
• The are of a rectangle is 56.96 m². If the length is 16 m, what is its perimeter.
• Solve this problem in your journal. Check with your tablemates after
finishing.
• A city block is 3 times as long as it is wide. If the total distance around the
block is 0.48 kilometers, what is the area of the block in square meters?
• Solve this problem in your journal. Check with your tablemates after
finishing.
Debrief
Problem Set
Homework
Exit Ticket
Solve.
Hayley borrowed $1,854 from her parents. She
agreed to repay them in equal installments over
the next 18 months. How much will Hayley still
owe her parents after a year?
• These problems are the concept development problems from the
lesson.
Solve the word problems, using a bar model.
1. Michelle wants to save $150 for a trip to Six Flags
Amusement Park. If she saves $12 each week, how
many weeks will it take her to save enough money for
the trip?
2. Karen works for 85 hours over a two week period. She
earns $1,891.25 over this period. How much does
Karen earn for 8 hours of work?
3. The area of a rectangle is 256.5 m2. If the length is 18
m, what is the perimeter of the rectangle?
Solve the word problems, using a bar model.
4. Tyler baked 702 cookies. He sold them in boxes of 18.
After selling all the boxes of cookies, he earned
$136.50. What was the cost of one box of cookies?
5. A park is 4 times as long as it is wide. If the distance
around the park is 12.5 kilometers, what is the area of
the park?