Which equation has the same unknown value as \( 46.5-17.32=\square \) ? (a) \( \square-17.32=46.5 \) ( \( 17.32+\square=46.5 \)

To determine which equation has the same unknown value as \( 46.5 - 17.32 = \square \), we first need to solve for \( \square \). 1. Calculate \( \square \): \[ \square = 46.5 - 17.32 \] Now, let's perform the calculation: \[ \square = 46.5 - 17.32 = 29.18 \] Next, we will check both equations to see which one also results in \( \square = 29.18 \). **Option (a):** \( \square - 17.32 = 46.5 \) Substituting \( \square = 29.18 \) into this equation: \[ 29.18 - 17.32 = 46.5 \] Calculating the left side: \[ 29.18 - 17.32 = 11.86 \quad (\text{not equal to } 46.5) \] **Option (b):** \( 17.32 + \square = 46.5 \) Substituting \( \square = 29.18 \) into this equation: \[ 17.32 + 29.18 = 46.5 \] Calculating the left side: \[ 17.32 + 29.18 = 46.5 \quad (\text{this is correct}) \] Thus, the equation that has the same unknown value as \( 46.5 - 17.32 = \square \) is: **(b) \( 17.32 + \square = 46.5 \)**.