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Week 06 · Divide with remainders

Thursday

The camping trip
// Share by place value, then check
⏱ about 15 min

Thursday: The camping trip

Chris the Coyote sits by a cozy campfire and opens his satchel.

"Let me tell you about the night of the big camping trip," he begins.

"Twenty-nine friends came, and each tent holds only 4."

"Oliver said 29 ÷ 4 = 7 R 1. Then he frowned."

"Seven tents leave one friend outside! So they set up 8 tents."

"Next, Bennie packed 50 apples into bags of 6 for breakfast."

"He filled 8 bags, and 2 apples rolled into his pocket for later."

"The remainder means something different in every story," Chris says.

Story: What does the remainder mean?

Read the question to decide what to do with a remainder.

Tents: 29 ÷ 4 = 7 R 1. Everyone needs a spot, so round up to 8 tents.

Bags: 50 ÷ 6 = 8 R 2. Only full bags count, so there are 8 bags.

Left over: there are 2 apples that are not in a bag.

QUESTIONS ABOUT THE STORY
  • Read the question.
  • Tap your answer.
A tentHow many tents did the friends need?
An appleHow many full bags of apples did Bennie make?
How many apples were not in a bag?

Practice: decide about the remainder

ROUND UP, DROP IT, OR USE IT?
  • Read the question.
  • Tap your answer.
A boat31 hikers ride in boats that hold 6 each. How many boats are needed?
A shellRiley has 75 shells. Each necklace uses 8. How many necklaces can he finish?
Hazel shares 46 stickers among 5 friends. How many stickers are left?
A bookA book has 130 pages. Ferris reads 9 pages a day. How many days to finish?

Learn it: multistep problems with a letter

Some problems take two steps. A letter can stand for the unknown.

Oliver has 3 boxes of 24 books, plus 15 more books.

n = 3 × 24 + 15. First 3 × 24 = 72. Then 72 + 15 = 87.

Estimate to check: 3 × 20 + 20 is 80, close to 87.

WHICH EQUATION FITS?
  • Read the question.
  • Tap your answer.
Oliver has 3 boxes of 24 books and 15 more. Which equation finds n, the total?
Bennie has 120 stones. He puts them in 4 equal piles, then adds 6 to one pile. Which equation finds p?
SOLVE IN TWO STEPS
  • Read the question.
  • Tap your answer.
A bookOliver has 3 boxes of 24 books and 15 more. How many books?
A rockBennie shares 120 stones into 4 piles, then adds 6 to one. How many in that pile?
A seedThere are 500 seeds. 6 birds each eat 45. How many seeds are left?
SentenceTrue or false?
3 × 24 + 15 = 87?
120 ÷ 4 + 6 = 36?
500 - 6 × 45 = 260?
For the tents, we round the quotient up.?
WHY THIS EXERCISE500 - 6 × 45 is 230, because 6 × 45 = 270.
Try it
Count how many chairs are in your home.
Imagine 25 guests visiting. How many more chairs would you need?
If chairs come in stacks of 4, how many stacks would you need?
Draw the camping trip with all the tents the friends needed.

What a trip! Tomorrow Freddy has a review game.

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