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

Ask by Reyes Salinas. in the United States
Jan 21,2025

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Tutor-Verified Answer

Answer

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

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The Deep Dive

Let's evaluate each expression step by step: 1. The opposite of \( 45 \) is \( -45 \). Therefore: \[ \text{opposite of } 45 = -45 \quad \text{and} \quad \text{opposite of } -9 - 9 = 9 - 9 = 0 \] 2. The opposite of \( 21 \) is \( -21 \). Therefore: \[ \text{opposite of } 21 = -21 \quad \text{and} \quad \text{opposite of } 6 - 6 = -6 = 0 \] 3. The opposite of \( 52 \) is \( -52 \). Therefore: \[ \text{opposite of } 52 = -52 \quad \text{and} \quad \text{opposite of } -89 - 89 = 89 - 89 = 0 \] 4. The absolute value of \( 7 \) is \( 7 \) and the absolute value of \( -34 \) is also \( 34 \). Therefore: \[ |7| = 7 \quad \text{and} \quad |-34| = 34 \] 5. The negative of the absolute value of \( 35 \) is \( -35 \) and the negative of the absolute value of \( -56 \) is \( -56 \). Therefore: \[ -|35| = -35 \quad \text{and} \quad -|-56| = -56 \] So the final evaluations are as follows: 1. \( -45 \) and \( 0 \) 2. \( -21 \) and \( 0 \) 3. \( -52 \) and \( 0 \) 4. \( 7 \) and \( 34 \) 5. \( -35 \) and \( -56 \)

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