This Grade 5 long division worksheet builds estimation skills using rounding to compatible numbers, like turning 956 divided by 32 into about 1000 divided by 30 to get an estimate of 33. Students correct estimation errors, fill in approximate quotients, and write short explanations of why estimating before dividing helps Grade 5 learners check the reasonableness of their long-division answers and catch place-value mistakes early.
Style:
Long Division with Multi-Digit Divisors
Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1. Fix the sentence:
To estimate 956 ÷ 32, I round 956 to 900 and 32 to 32, getting about 28 as the estimate.
Rewrite: To estimate 956 ÷ 32, I round 956 to 1000 and 32 to 30, getting about 33 as the estimate.
2. Fix the sentence:
When estimating 612 ÷ 19, I should round 19 up to 100 because bigger numbers give better estimates.
Rewrite: When estimating 612 ÷ 19, I should round 19 to 20 because that keeps the divisor close to its real value.
3. Fix the sentence:
An estimate of 5 for 4128 ÷ 41 is reasonable because the digits look small.
Rewrite: An estimate of 100 for 4128 ÷ 41 is reasonable because 4000 ÷ 40 equals 100.
Part B: Fill in the Blank
Write the missing word or number on each line.
1. To estimate 956 ÷ 32, you can round to 1000 ÷ 30, giving an estimate of about 33.
2. Rounding 612 ÷ 19 to compatible numbers gives 600 ÷ 20, which equals about 30.
3. When 956 ÷ 32 is exactly 29 R 28, the estimate of 33 is close, showing that estimates are approximate values.
4. If you round both numbers down, your estimate of the quotient may be too high compared to the real answer.
Part C: Short Answer
Answer each question in one or two complete sentences.
1. Estimate 4128 ÷ 41 by rounding to compatible numbers and explain in Grade 5 language.
I rounded 4128 to 4000 and 41 to 40. Then 4000 ÷ 40 = 100, so the quotient is about 100. The exact answer is close to 100 (it is 100 R 28), so my estimate is reasonable.
2. Why is estimating 7235 ÷ 68 useful before doing the long division in Grade 5?
Estimating 7235 ÷ 68 as 7000 ÷ 70 = 100 tells me the answer should be close to 100. After I divide, I can check that my real answer (about 106) is reasonable and not off by a place-value mistake.
Long Division with Multi-Digit Divisors
★ Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1) Fix the sentence:
To estimate 956 ÷ 32, I round 956 to 900 and 32 to 32, getting about 28 as the estimate.
Rewrite: To estimate 956 ÷ 32, I round 956 to 1000 and 32 to 30, getting about 33 as the estimate.
2) Fix the sentence:
When estimating 612 ÷ 19, I should round 19 up to 100 because bigger numbers give better estimates.
Rewrite: When estimating 612 ÷ 19, I should round 19 to 20 because that keeps the divisor close to its real value.
3) Fix the sentence:
An estimate of 5 for 4128 ÷ 41 is reasonable because the digits look small.
Rewrite: An estimate of 100 for 4128 ÷ 41 is reasonable because 4000 ÷ 40 equals 100.
★ Part B: Fill in the Blank
Write the missing word or number on each line.
1) To estimate 956 ÷ 32, you can round to 1000 ÷ 30, giving an estimate of about 33.
2) Rounding 612 ÷ 19 to compatible numbers gives 600 ÷ 20, which equals about 30.
3) When 956 ÷ 32 is exactly 29 R 28, the estimate of 33 is close, showing that estimates are approximate values.
4) If you round both numbers down, your estimate of the quotient may be too high compared to the real answer.
★ Part C: Short Answer
Answer each question in one or two complete sentences.
1) Estimate 4128 ÷ 41 by rounding to compatible numbers and explain in Grade 5 language.
I rounded 4128 to 4000 and 41 to 40. Then 4000 ÷ 40 = 100, so the quotient is about 100. The exact answer is close to 100 (it is 100 R 28), so my estimate is reasonable.
2) Why is estimating 7235 ÷ 68 useful before doing the long division in Grade 5?
Estimating 7235 ÷ 68 as 7000 ÷ 70 = 100 tells me the answer should be close to 100. After I divide, I can check that my real answer (about 106) is reasonable and not off by a place-value mistake.
Ready to Practice?
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9 Questions
15-20 minutes
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