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Division Using Place Value

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Division Using Place Value worksheet preview

Division Using Place Value

Place value blocks showing division

📊 Part 1: Place Value Patterns

I can use place value patterns to mentally find quotients.

1. Break down 4,236 using place value:

4,236 = ________ + ________ + ________ + ________

2. To solve 2,468 ÷ 12 using place value, which step would you do first?

Break 2,468 into thousands, hundreds, tens, and ones

Multiply 12 × 100

Round 2,468 to 2,500

Divide 2,468 by 10 first

3. Use place value patterns to solve 3,600 ÷ 12. Show your thinking:
4. Which division problems can be solved easily using place value patterns? Check all that apply:

4,800 ÷ 16

2,547 ÷ 13

6,000 ÷ 15

3,249 ÷ 11

🎯 Part 2: Estimating Quotients

I can use place value patterns to estimate quotients before calculating.

5. To estimate 1,834 ÷ 23, round both numbers and find the estimated quotient:

1,834 rounds to ________ and 23 rounds to ________

Estimated quotient: ________ ÷ ________ = ________

6. Circle the best estimate for 5,672 ÷ 28:

About 20

About 200

About 2,000

About 20,000

7. Explain why your estimate in question 6 makes sense:

🔧 Part 3: Problem Solving

I can apply place value strategies to solve division problems.

8. A school ordered 2,856 pencils. They need to divide them equally among 24 classrooms. Use place value to find how many pencils each classroom gets:
9. Extension Challenge: Create your own division problem with a 4-digit dividend and 2-digit divisor. Then solve it using place value patterns:

My problem: ________ ÷ ________ = ________

10. Reflection: Which place value strategy helped you the most today?

Breaking numbers into thousands, hundreds, tens, ones

Rounding to estimate first

Using mental math with place value

Checking my work with estimation

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