Which of the following is equivalent to the expanded form shown below? \( \begin{array}{l}\text { 3. } 3 \times 10)+(2 \times 1)+\left(7 \times \frac{1}{10}\right)+\left(8 \times \frac{1}{100}\right)\end{array} \) A three hundred twenty-seven and eight tenths B. thirty-two and seventy eight tenths C.thirty-mo and sevengy elight hundredths thousand, two hundred seventy eight

Let's evaluate the given expression step by step: \[ 3 \times 10 + 2 \times 1 + 7 \times \frac{1}{10} + 8 \times \frac{1}{100} \] 1. **Calculate each term:** - \( 3 \times 10 = 30 \) - \( 2 \times 1 = 2 \) - \( 7 \times \frac{1}{10} = 0.7 \) - \( 8 \times \frac{1}{100} = 0.08 \) 2. **Sum all the terms:** \[ 30 + 2 + 0.7 + 0.08 = 32.78 \] So, the expanded form evaluates to **32.78**. **Interpreting the options:** - **Option A:** *Three hundred twenty-seven and eight tenths* → 327.8 (Incorrect) - **Option B:** *Thirty-two and seventy eight tenths* → 32.78 (Intended to represent 32.78, though technically it should be called seventy-eight hundredths) - **Option C:** *Thirty-mo and sevengy elight hundredths thousand, two hundred seventy eight* → This option appears to contain typographical errors and is unclear. Given the calculations, **Option B** is the closest and correct equivalent to the expanded form. **Answer:** **B. thirty-two and seventy eight tenths**