Evaluate each expression. $$ \begin{array}{ll} ext { 1. opposite of } 45 \frac{-45}{-21} & ext { opposite of }-9-9 \ ext { 2. opposite of } 21 \frac{-21}{-52} & ext { opposite of } 6-6 \ ext { 3. opposite of } 52- & ext { opposite of }-89-89 \ ext { 4. }|7|= & |-34|= \ ext { 5. }-|35|=- & -|-56|=\end{array} $$

Question

Evaluate each expression. $$ \begin{array}{ll}	ext { 1. opposite of } 45 \frac{-45}{-21} & 	ext { opposite of }-9-9 \ 	ext { 2. opposite of } 21 \frac{-21}{-52} & 	ext { opposite of } 6-6 \ 	ext { 3. opposite of } 52- & 	ext { opposite of }-89-89 \ 	ext { 4. }|7|= & |-34|= \ 	ext { 5. }-|35|=- & -|-56|=\end{array} $$

UpStudy AI · Accepted Answer

Let's evaluate each of the given expressions step by step. We'll organize the solutions based on the provided table structure.

### 1. Opposite of 45 and $$\frac{-45}{-21}$$

- **Opposite of 45:**
  - The opposite (additive inverse) of 45 is **-45**.
  
- **$$\frac{-45}{-21}$$:**
  - Dividing two negative numbers results in a positive number.
  - $$
    \frac{-45}{-21} = \frac{45}{21} = \frac{15}{7} \approx 2.14
    $$

### 2. Opposite of 21 and $$\frac{-21}{-52}$$

- **Opposite of 21:**
  - The opposite of 21 is **-21**.
  
- **$$\frac{-21}{-52}$$:**
  - Dividing two negative numbers results in a positive number.
  - $$
    \frac{-21}{-52} = \frac{21}{52}
    $$
  
- **Opposite of $$6 - 6$$:**
  - Calculate inside the parentheses first:
    $$
    6 - 6 = 0
    $$
  - The opposite of 0 is **0**.

### 3. Opposite of 52 and Opposite of $$-89 - 89$$

- **Opposite of 52:**
  - The opposite of 52 is **-52**.
  
- **Opposite of $$-89 - 89$$:**
  - First, perform the subtraction:
    $$
    -89 - 89 = -178
    $$
  - Then, find the opposite:
    $$
    \text{Opposite of } (-178) = 178
    $$

### 4. Absolute Values $$|7|$$ and $$|-34|$$

- **$$|7|$$:**
  - The absolute value of 7 is **7**.
  
- **$$|-34|$$:**
  - The absolute value of -34 is **34**.

### 5. Negative Absolute Values $$-|35|$$ and $$-|-56|$$

- **$$-|35|$$:**
  - First, find the absolute value of 35:
    $$
    |35| = 35
    $$
  - Then, apply the negative sign:
    $$
    -|35| = -35
    $$
  
- **$$-|-56|$$:**
  - First, find the absolute value of -56:
    $$
    |-56| = 56
    $$
  - Then, apply the negative sign:
    $$
    -|-56| = -56
    $$

### Summary of Evaluations

| **Expression**          | **Evaluation** |
|-------------------------|-----------------|
| Opposite of 45           | -45             |
| $$\frac{-45}{-21}$$     | $$\frac{15}{7} \approx 2.14$$ |
| Opposite of -9 - 9       | 0               |
| Opposite of 21           | -21             |
| $$\frac{-21}{-52}$$     | $$\frac{21}{52}$$ |
| Opposite of 6 - 6        | 0               |
| Opposite of 52           | -52             |
| Opposite of -89 - 89     | 0               |
| $$|7|$$                  | 7               |
| $$|-34|$$                | 34              |
| $$-|35|$$                | -35             |
| $$-|-56|$$               | -56             |

If you have any further questions or need additional explanations, feel free to ask!
Here are the evaluations of each expression: 1. **Opposite of 45:** -45 **$$\frac{-45}{-21}$$:** $$\frac{15}{7} \approx 2.14$$ 2. **Opposite of 21:** -21 **$$\frac{-21}{-52}$$:** $$\frac{21}{52}$$ **Opposite of $$6 - 6$$:** 0 3. **Opposite of 52:** -52 **Opposite of $$-89 - 89$$:** 178 4. **$$|7|$$:** 7 **$$|-34|$$:** 34 5. **$$-|35|$$:** -35 **$$-|-56|$$:** -56

Evaluate each expression.

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