Which of the following shows the correct process of solving −30+4.5

?(1 point)
Responses

−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=−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=0+4.5=4.5

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

To solve the expression \(-30 + 4.5\), we should first interpret \(-30\) correctly. The notation you are using seems to suggest that \(-30\) refers to \(−3 \times 10\), but that is not the case in standard arithmetic.

The correct approach is simply treating \(-30\) as it is. So:

  1. Start with the expression: \(-30 + 4.5\).
  2. This is the same as \(-30 + 4.5 = -30 + 4.5\).
  3. The calculation involves understanding that \(-30\) is far less than \(4.5\).
  4. The result is \(-25.5\) (since \(-30 + 4.5\) yields \(-25.5\)).

Now, let's evaluate the responses given:

  1. Response 1: Incorrect. This incorrectly uses exponentiation and evaluates as if it were a different expression.
  2. Response 2: Incorrect. This also misinterprets \(-30\) as it uses exponentiation incorrectly.
  3. Response 3: Correct arithmetic but written incorrectly if it's labeling \(-30\) as \(-3\).
  4. Response 4: Incorrect. This similarly misinterprets the negative sign and uses multiplication incorrectly.

All the options show incorrect ways to interpret \(-30 + 4.5\). The most appropriate approach to obtain the correct arithmetic would simply be \(-30 + 4.5 = -25.5\). Thus, none of the provided responses are correct.