Brewer Vargas
09/25/2023 · High School

Integer chips \( -5 \frac{3}{5}\left(-\frac{2}{3}\right)=56 / 15 \) \( \frac{-12}{\frac{1}{3}}=-36 \) \( \frac{45.6}{-3}=-76 / 5 \) \( 8.7(-0.06)=-0.42 \) Answer 1:

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Let's evaluate each expression step by step. 1. **For the first expression:** \[ -5 \frac{3}{5}\left(-\frac{2}{3}\right) \] First, convert the mixed number to an improper fraction: \[ -5 \frac{3}{5} = -\frac{28}{5} \] Now, multiply: \[ -\frac{28}{5} \times -\frac{2}{3} = \frac{28 \times 2}{5 \times 3} = \frac{56}{15} \] This is correct. 2. **For the second expression:** \[ \frac{-12}{\frac{1}{3}} = -12 \times 3 = -36 \] This is also correct. 3. **For the third expression:** \[ \frac{45.6}{-3} = -\frac{45.6}{3} \] Calculate \( \frac{45.6}{3} \): \[ 45.6 \div 3 = 15.2 \] Therefore: \[ \frac{45.6}{-3} = -15.2 \] The statement \( -76 / 5 \) is incorrect because \( -76 / 5 = -15.2 \) is correct. 4. **For the fourth expression:** \[ 8.7(-0.06) = -8.7 \times 0.06 \] Calculate: \[ 8.7 \times 0.06 = 0.522 \] Therefore: \[ 8.7(-0.06) = -0.522 \] The statement \( -0.42 \) is incorrect. ### Summary of Results: 1. \( -5 \frac{3}{5}\left(-\frac{2}{3}\right) = \frac{56}{15} \) (Correct) 2. \( \frac{-12}{\frac{1}{3}} = -36 \) (Correct) 3. \( \frac{45.6}{-3} = -15.2 \) (Incorrect statement) 4. \( 8.7(-0.06) = -0.522 \) (Incorrect statement) ### Final Answer: The correct evaluations are: 1. \( \frac{56}{15} \) 2. \( -36 \) 3. \( -15.2 \) 4. \( -0.522 \)

Quick Answer

1. \( \frac{56}{15} \) 2. \( -36 \) 3. \( -15.2 \) 4. \( -0.522 \)
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