a) \( 2\left(\frac{3}{2}+0,5\right)+\frac{1}{2} \) b) \( 1000 \times 5 \times \frac{2}{5}+1 \times 0 \) c) \( \frac{5}{6}-0 \times \frac{6}{5} \) d) \( 6 \times 3 \times \frac{1}{90}+9+0 \)

Let's evaluate each expression step by step: --- ### a) \( 2\left(\frac{3}{2} + 0.5\right) + \frac{1}{2} \) 1. **Inside the parentheses:** \[ \frac{3}{2} + 0.5 = \frac{3}{2} + \frac{1}{2} = \frac{4}{2} = 2 \] 2. **Multiply by 2:** \[ 2 \times 2 = 4 \] 3. **Add \(\frac{1}{2}\):** \[ 4 + \frac{1}{2} = \frac{8}{2} + \frac{1}{2} = \frac{9}{2} = 4.5 \] **Answer:** \( \frac{9}{2} \) or **4.5** --- ### b) \( 1000 \times 5 \times \frac{2}{5} + 1 \times 0 \) 1. **Multiply 1000 by 5:** \[ 1000 \times 5 = 5000 \] 2. **Multiply by \(\frac{2}{5}\):** \[ 5000 \times \frac{2}{5} = 5000 \times 0.4 = 2000 \] 3. **Add \(1 \times 0\):** \[ 2000 + 0 = 2000 \] **Answer:** **2000** --- ### c) \( \frac{5}{6} - 0 \times \frac{6}{5} \) 1. **Multiply 0 by \(\frac{6}{5}\):** \[ 0 \times \frac{6}{5} = 0 \] 2. **Subtract from \(\frac{5}{6}\):** \[ \frac{5}{6} - 0 = \frac{5}{6} \] **Answer:** \( \frac{5}{6} \) --- ### d) \( 6 \times 3 \times \frac{1}{90} + 9 + 0 \) 1. **Multiply 6 by 3:** \[ 6 \times 3 = 18 \] 2. **Multiply by \(\frac{1}{90}\):** \[ 18 \times \frac{1}{90} = \frac{18}{90} = \frac{1}{5} = 0.2 \] 3. **Add 9 and 0:** \[ 0.2 + 9 = 9.2 \] Alternatively, as a fraction: \[ \frac{1}{5} + 9 = \frac{1}{5} + \frac{45}{5} = \frac{46}{5} \] **Answer:** \( \frac{46}{5} \) or **9.2** --- Feel free to reach out if you have any more questions!