1 Estimate the answers to these questions. $$ \begin{array}{lll} ext { a }-67+29 & ext { b } & -82-47 \ ext { c } 688--512 & ext { d } & -243+-514\end{array} $$

Question

1 Estimate the answers to these questions. $$ \begin{array}{lll}	ext { a }-67+29 & 	ext { b } & -82-47 \ 	ext { c } 688--512 & 	ext { d } & -243+-514\end{array} $$

UpStudy AI · Accepted Answer

Certainly! Let's estimate the answers to each of the given mathematical expressions by rounding the numbers to the nearest ten or hundred and then performing the calculations.

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### **a) $$ -67 + 29 $$**

**Step 1: Round the Numbers**
- **-67** rounds to **-70**
- **29** rounds to **30**

**Step 2: Perform the Addition**
$$
-70 + 30 = -40
$$

**Estimated Answer:** **-40**

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### **b) $$ -82 - 47 $$**

**Step 1: Round the Numbers**
- **-82** rounds to **-80**
- **-47** rounds to **-50**

**Step 2: Perform the Subtraction**
$$
-80 - 50 = -130
$$

**Estimated Answer:** **-130**

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### **c) $$ 688 - (-512) $$**

**Step 1: Round the Numbers**
- **688** rounds to **700**
- **-512** rounds to **-500**

**Step 2: Perform the Subtraction**
$$
700 - (-500) = 700 + 500 = 1,\!200
$$

**Estimated Answer:** **1,200**

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### **d) $$ -243 + (-514) $$**

**Step 1: Round the Numbers**
- **-243** rounds to **-240**
- **-514** rounds to **-510**

**Step 2: Perform the Addition**
$$
-240 + (-510) = -750
$$

**Estimated Answer:** **-750**

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**Summary of Estimated Answers:**
- **a)** -40
- **b)** -130
- **c)** 1,200
- **d)** -750

*These estimates provide a quick way to approximate the results. For precise answers, you would perform the exact calculations without rounding.*
Estimated answers: - a) -40 - b) -130 - c) 1,200 - d) -750

1 Estimate the answers to these questions.

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