Question

Which of the following shows the correct process of solving −30+4.5 ?(1 point)Responses−30+4.5=−1⋅30+4.5=−1⋅1+4.5=−1+4.5=3.5negative 3 superscript 0 baseline plus 4.5 equals negative 1 times 3 superscript 0 baseline plus 4.5 equals negative 1 dot 1 plus 4.5 equals negative 1 plus 4.5 equals 3.5−30+4.5=(−3)0+4.5=1+4.5=5.5negative 3 superscript 0 baseline plus 4.5 equals left parenthesis negative 3 right parenthesis superscript 0 baseline plus 4.5 equals 1 plus 4.5 equals 5.5−30+4.5=−3⋅0+4.5=0+4.5=4.5negative 3 superscript 0 baseline plus 4.5 equals negative 3 times 0 plus 4.5 equals 0 plus 4.5 equals 4.5−30+4.5=−3+4.5=1.5

Answer 1

To solve the expression \(-30 + 4.5\), we first recognize that \(-30\) can also be expressed as \(-30.0\). The correct process is as follows:

1. Combine the numbers: \(-30 + 4.5\)
2. Since \(-30\) is much larger (in absolute value) than \(4.5\), we subtract \(4.5\) from \(30\):
   • \(|-30| - |4.5| = 30 - 4.5 = 25.5\)
3. Because the larger number was negative, our result retains the negative sign:
   • Therefore, \(-30 + 4.5 = -25.5\).

None of the provided responses accurately show the correct calculation for \(-30 + 4.5\) resulting in \(-25.5\). If I were to simplify the expressions given in the responses, I would note that they are either incorrect mathematically or misinterpret the expression altogether.

The simplest response in the options you've provided would be:

\(-30 + 4.5 = -25.5\).

If you'd like assistance with any other calculations or have questions about a specific choice, please let me know!