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Division Using Place Value
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Division Using Place Value
Use place value to break apart numbers, estimate quotients, and solve division problems. Show your thinking where asked.
Place Value and Division
Break apart numbers and use place-value relationships to find quotients.
1.Write 5,284 as the sum of its thousands, hundreds, tens, and ones.
2.Which is a useful first step for finding 3,672 ÷ 18 using place value?
- Break 3,672 into thousands, hundreds, tens, and ones.
- Change 18 into 180 without changing 3,672.
- Subtract 18 from 3,672 exactly once.
- Round both numbers to the nearest thousand.
3.Find 4,200 ÷ 14. Use a multiplication fact and place-value reasoning to show how you know.
4.Select every quotient that can be found conveniently by using a related basic multiplication fact and place value.
- 3,600 ÷ 12
- 2,835 ÷ 17
- 7,200 ÷ 18
- 4,731 ÷ 19
Estimate and Check
Round to friendly numbers to judge whether a quotient is reasonable.
5.Estimate 2,146 ÷ 31 by rounding each number to a nearby friendly number. Write the rounded division and its quotient.
6.Choose the closest estimate for 6,218 ÷ 29.
- About 20
- About 200
- About 2,000
- About 20,000
7.Explain why your estimate for 6,218 ÷ 29 is reasonable. Use rounded numbers in your explanation.
Solve and Connect
Apply place-value strategies to division situations and related facts.
8.A community center has 3,456 snack packs to share equally among 24 groups. How many snack packs will each group receive? Show a place-value strategy.
9.Match each division expression to its quotient.
- 4,800 ÷ 16
- 5,000 ÷ 20
- 3,600 ÷ 12
- 6,300 ÷ 21
- 250
- 300
- 300
- 300
10.Find 5,040 ÷ 24. Show how breaking the quotient into place-value parts helps you solve it.
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