Which of the following shows the correct process of solving −3 0+4.5

?(1 point)
Responses

−30+4.5=−1⋅30+4.5=−1⋅1+4.5=−1+4.5=3.5
negative 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+4.5=1.5
negative 3 superscript 0 baseline plus 4.5 equals negative 3 plus 4.5 equals 1.5

−30+4.5=(−3)0+4.5=1+4.5=5.5
negative 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=4.5

1 answer

To solve the expression \(-3^0 + 4.5\), we first need to evaluate \(-3^0\).

Any non-zero number raised to the power of 0 is 1. Therefore, \(-3^0 = -1\).

So, \(-3^0 + 4.5\) becomes:

\(-1 + 4.5 = 3.5\)

Now let's look at the responses:

The first response shows the process of solving: \(-30 + 4.5 = -1 \cdot 30 + 4.5 = -1 \cdot 1 + 4.5 = -1 + 4.5 = 3.5\). This response is certainly incorrect in notation, but the final result is right.
The second response has a calculation error: it states \(-30 + 4.5 = -3 + 4.5 = 1.5\).
The third response has a calculation error: it incorrectly calculates \((-3)^0\) as 1.
The fourth response simplifies incorrectly from \(-30\) to \(-3 \cdot 0\).

Based on the evaluations, the final correct answer is:

\[ 3.5 \]

Only the first response (despite its notation errors) arrives at the correct final result, even though the intermediate steps may not be tight in terms of notation. Thus:

Correct Answer: The first option interpreted correctly shows \( -3^0 + 4.5 = 3.5 \).