Calculate the exact value of \( 42.5-7.47+11.011 \) by hand and by calculator. \( 42.5-7.47+11.011= \) (Type an integer or a decimal.)
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First, let's do the calculation by hand: Start by calculating \( 42.5 - 7.47 \): \[ 42.5 - 7.47 = 35.03 \] Now add \( 11.011 \) to \( 35.03 \): \[ 35.03 + 11.011 = 46.041 \] So, the exact value of \( 42.5 - 7.47 + 11.011 \) is \( 46.041 \). Now, using a calculator for the same operation: 1. Input \( 42.5 \) 2. Subtract \( 7.47 \) to get \( 35.03 \) 3. Then, add \( 11.011 \) The calculator will also yield \( 46.041 \). Therefore, the result is: \[ \boxed{46.041} \]