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Two-Digit Division Strategies

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Two-Digit Division Strategies

Choose a strategy that helps you divide. Show your work for written problems, and use multiplication to check when asked.

Choose and Match Strategies

1.Which strategy is especially convenient for finding 360 ÷ 12 mentally?

Rewrite 360 as 36 tens, then divide by 12
Draw an angle and measure it
Add 12 to 360 repeatedly
Round both numbers to the nearest hundred

2.Which pair of compatible numbers gives a useful estimate for 731 ÷ 21?

700 ÷ 20
700 ÷ 30
800 ÷ 40
600 ÷ 10

3.Select every method that could help solve 864 ÷ 24.

Use partial quotients by subtracting easy multiples of 24
Break 24 into 20 + 4 and use the distributive property carefully
Estimate the quotient and then calculate
Use place-value blocks to model equal groups

4.Match each division strategy to the description that best explains it.

Compatible-number estimate
Partial quotients
Place-value model
Multiplication check

Subtract convenient multiples of the divisor and combine the quotient parts.
Multiply the quotient by the divisor to see whether you get the dividend.
Represent the amount with base-ten pieces and share them into equal groups.
Replace the numbers with nearby, easier numbers to predict a reasonable quotient.

Solve and Show Your Strategy

5.Use partial quotients to solve 816 ÷ 17. Show the multiples you subtract and add the quotient parts.

6.Estimate 658 ÷ 19 using compatible numbers. Write the numbers you chose and explain briefly why they are useful.

7.Use the distributive property to solve 780 ÷ 15. Split 780 into a sum of two numbers that are both divisible by 15, then show how you use that breakdown.

8.Find 588 ÷ 14, then check your quotient by multiplying it by 14.

9.A community center has 672 craft sticks. Staff place 16 sticks in each bundle. How many full bundles can they make? Show a strategy and explain how you know your answer is reasonable.

10.Solve 756 ÷ 18 in two different ways. Show both methods, then state which method you would choose and give one reason.