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Estimating sums and differences math worksheet with rounding practice.

A math worksheet titled "Estimating sums and differences" with exercises for rounding numbers to the nearest ten, hundred, or thousand and calculating estimated sums and differences.

A math worksheet titled "Estimating sums and differences" with exercises for rounding numbers to the nearest ten, hundred, or thousand and calculating estimated sums and differences.

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Show Answer Key & Explanations Step-by-step solution for: Estimating Sums and Differences 2 Digit Worksheet Practice & Word
It looks like you've uploaded a math worksheet titled "Estimating Sums and Differences". Since I can't view images directly, I’ll help you solve the problems based on the text you provided. Let's go step by step through each section of the worksheet.

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Section 1: Estimate the sum or difference. Then add or subtract to find the exact answer.



We are asked to estimate first (usually by rounding), then compute the exact value.

#### Problem 1:
Estimate: $ 3,486 + 1,725 $
- Round each number:
- $ 3,486 \approx 3,500 $
- $ 1,725 \approx 1,700 $
- Estimated sum: $ 3,500 + 1,700 = 5,200 $

Exact sum:
$ 3,486 + 1,725 = 5,211 $

Answer: Estimate: 5,200, Exact: 5,211

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#### Problem 2:
Estimate: $ 9,005 - 3,159 $
- Round:
- $ 9,005 \approx 9,000 $
- $ 3,159 \approx 3,200 $
- Estimated difference: $ 9,000 - 3,200 = 5,800 $

Exact difference:
$ 9,005 - 3,159 = 5,846 $

Answer: Estimate: 5,800, Exact: 5,846

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#### Problem 3:
Estimate: $ 25,072 + 11,943 $
- Round:
- $ 25,072 \approx 25,000 $
- $ 11,943 \approx 12,000 $
- Estimated sum: $ 25,000 + 12,000 = 37,000 $

Exact sum:
$ 25,072 + 11,943 = 37,015 $

Answer: Estimate: 37,000, Exact: 37,015

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#### Problem 4:
Estimate: $ 14,003 - 5,926 $
- Round:
- $ 14,003 \approx 14,000 $
- $ 5,926 \approx 5,900 $
- Estimated difference: $ 14,000 - 5,900 = 8,100 $

Exact difference:
$ 14,003 - 5,926 = 8,077 $

Answer: Estimate: 8,100, Exact: 8,077

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Section 2: Use estimation to tell whether each difference is correct or incorrect.



We estimate and check if the given difference makes sense.

#### Problem 1:
$ 9,407 - 5,348 = 4,059 $
- Estimate:
- $ 9,407 \approx 9,400 $
- $ 5,348 \approx 5,300 $
- $ 9,400 - 5,300 = 4,100 $
- Given: $ 4,059 $ → Close to 4,100 → Correct

Correct

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#### Problem 2:
$ 26,387 - 18,243 = 8,144 $
- Estimate:
- $ 26,387 \approx 26,400 $
- $ 18,243 \approx 18,200 $
- $ 26,400 - 18,200 = 8,200 $
- Given: $ 8,144 $ → Close to 8,200 → Correct

Correct

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#### Problem 3:
$ 56,482 - 17,356 = 49,126 $
- Estimate:
- $ 56,482 \approx 56,500 $
- $ 17,356 \approx 17,400 $
- $ 56,500 - 17,400 = 39,100 $
- But the given answer is 49,126, which is way higher than 39,100 → Incorrect

Incorrect

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#### Problem 4:
$ 93,241 - 74,329 = 18,912 $
- Estimate:
- $ 93,241 \approx 93,200 $
- $ 74,329 \approx 74,300 $
- $ 93,200 - 74,300 = 18,900 $
- Given: $ 18,912 $ → Very close → Correct

Correct

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Section 3: Solve the word problem



> A factory produces 24,892 widgets in one month and 17,345 in the next. About how many widgets does it produce in two months?

We need to estimate the total.

- $ 24,892 \approx 25,000 $
- $ 17,345 \approx 17,000 $
- Estimated total: $ 25,000 + 17,000 = 42,000 $

Answer: About 42,000 widgets

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Section 4: Write <, >, or = for each problem



Compare using estimation or exact calculation.

#### 1. $ 128 + 173 \quad ? \quad 300 $
- $ 128 + 173 = 301 $
- $ 301 > 300 $ → >

>

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#### 2. $ 32,495 + 4,886 \quad ? \quad 40,000 $
- Estimate:
- $ 32,495 \approx 32,500 $
- $ 4,886 \approx 4,900 $
- Sum ≈ $ 37,400 $
- $ 37,400 < 40,000 $ → <

<

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#### 3. $ 843 + 1,218 \quad ? \quad 2,000 $
- $ 843 + 1,218 = 2,061 $
- $ 2,061 > 2,000 $ → >

>

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#### 4. $ 5,998 + 3,204 \quad ? \quad 9,000 $
- $ 5,998 \approx 6,000 $
- $ 3,204 \approx 3,200 $
- Sum ≈ $ 9,200 $
- $ 9,200 > 9,000 $ → >

>

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#### 5. $ 32,495 + 4,886 \quad ? \quad 37,000 $
- From earlier: $ 32,495 + 4,886 = 37,381 $
- $ 37,381 > 37,000 $ → >

>

---

#### 6. $ 15,678 - 10,245 \quad ? \quad 4,000 $
- $ 15,678 - 10,245 = 5,433 $
- $ 5,433 > 4,000 $ → >

>

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#### 7. $ 84,010 - 55,123 \quad ? \quad 28,000 $
- $ 84,010 - 55,123 = 28,887 $
- $ 28,887 > 28,000 $ → >

>

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#### 8. $ 5,420 - 3,975 \quad ? \quad 1,500 $
- $ 5,420 - 3,975 = 1,445 $
- $ 1,445 < 1,500 $ → <

<

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Final Answers Summary:



#### Section 1:
1. Estimate: 5,200, Exact: 5,211
2. Estimate: 5,800, Exact: 5,846
3. Estimate: 37,000, Exact: 37,015
4. Estimate: 8,100, Exact: 8,077

#### Section 2:
1. Correct
2. Correct
3. Incorrect
4. Correct

#### Section 3:
- About 42,000 widgets

#### Section 4:
1. >
2. <
3. >
4. >
5. >
6. >
7. >
8. <

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