Question
hich 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⋅0+4.5=0+4.5=4.5
negative 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
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⋅0+4.5=0+4.5=4.5
negative 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
Answers
GPT-4o mini
To solve the expression \( -30 + 4.5 \), we first recognize that the notation \( -30 \) suggests it represents \( -3 \times 10 \), rather than \( -3^0 \) or something else. However, since the options provided seem to misinterpret the expression, let’s clarify:
1. **Correctly evaluating \( -30 + 4.5 \)**:
\[
-30 + 4.5 = -25.5
\]
Now let's analyze the options:
1. **Response 1**: \( -30+4.5=(-3)^0+4.5=1+4.5=5.5 \) - This is incorrect.
2. **Response 2**: \( -30+4.5 = -1 \cdot 30 + 4.5 = -1 \cdot 1 + 4.5 = -1 + 4.5 = 3.5 \) - This is incorrect.
3. **Response 3**: \( -30+4.5=-3 \cdot 0+4.5=0+4.5=4.5 \) - This is incorrect.
4. **Response 4**: \( -30 + 4.5 = -3 + 4.5 = 1.5 \) - This is incorrect.
None of the options provided corresponds to the correct evaluation of \( -30 + 4.5 \). The correct answer is that \( -30 + 4.5 = -25.5 \).
1. **Correctly evaluating \( -30 + 4.5 \)**:
\[
-30 + 4.5 = -25.5
\]
Now let's analyze the options:
1. **Response 1**: \( -30+4.5=(-3)^0+4.5=1+4.5=5.5 \) - This is incorrect.
2. **Response 2**: \( -30+4.5 = -1 \cdot 30 + 4.5 = -1 \cdot 1 + 4.5 = -1 + 4.5 = 3.5 \) - This is incorrect.
3. **Response 3**: \( -30+4.5=-3 \cdot 0+4.5=0+4.5=4.5 \) - This is incorrect.
4. **Response 4**: \( -30 + 4.5 = -3 + 4.5 = 1.5 \) - This is incorrect.
None of the options provided corresponds to the correct evaluation of \( -30 + 4.5 \). The correct answer is that \( -30 + 4.5 = -25.5 \).
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⋅0+4.5=0+4.5=4.5
negative 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
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⋅0+4.5=0+4.5=4.5
negative 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
GPT-4o mini
To accurately solve the expression \( -30 + 4.5 \), we should recognize that \( -30 \) indicates a negative thirty, not tied to any powers or multiplication by zero.
Let's review the options provided:
1. **Response 1**:
\[
-30 + 4.5 = (-3)^0 + 4.5 = 1 + 4.5 = 5.5
\]
- **Incorrect**: This incorrectly interprets \(-30\) as \((-3)^0\) instead of the intended value.
2. **Response 2**:
\[
-30 + 4.5 = -1 \cdot 30 + 4.5 = -1 \cdot 1 + 4.5 = -1 + 4.5 = 3.5
\]
- **Incorrect**: This miscalculates the steps, as it simplifies incorrectly.
3. **Response 3**:
\[
-30 + 4.5 = -3 \cdot 0 + 4.5 = 0 + 4.5 = 4.5
\]
- **Incorrect**: Again, this misrepresents the expression initially.
4. **Response 4**:
\[
-30 + 4.5 = -3 + 4.5 = 1.5
\]
- **Incorrect**: This assumes \(-30\) equals \(-3\), which is not correct.
None of the provided options accurately represent the solution to \( -30 + 4.5 \), which calculates to \( -25.5 \).
If I had to mark one option based on just seeing if any numbers were reasonably calculated correctly, still, the way the expressions are incorrectly derived makes it clear that none of these are appropriate solutions for the expression given. There isn’t a correct choice among the available responses.
Let's review the options provided:
1. **Response 1**:
\[
-30 + 4.5 = (-3)^0 + 4.5 = 1 + 4.5 = 5.5
\]
- **Incorrect**: This incorrectly interprets \(-30\) as \((-3)^0\) instead of the intended value.
2. **Response 2**:
\[
-30 + 4.5 = -1 \cdot 30 + 4.5 = -1 \cdot 1 + 4.5 = -1 + 4.5 = 3.5
\]
- **Incorrect**: This miscalculates the steps, as it simplifies incorrectly.
3. **Response 3**:
\[
-30 + 4.5 = -3 \cdot 0 + 4.5 = 0 + 4.5 = 4.5
\]
- **Incorrect**: Again, this misrepresents the expression initially.
4. **Response 4**:
\[
-30 + 4.5 = -3 + 4.5 = 1.5
\]
- **Incorrect**: This assumes \(-30\) equals \(-3\), which is not correct.
None of the provided options accurately represent the solution to \( -30 + 4.5 \), which calculates to \( -25.5 \).
If I had to mark one option based on just seeing if any numbers were reasonably calculated correctly, still, the way the expressions are incorrectly derived makes it clear that none of these are appropriate solutions for the expression given. There isn’t a correct choice among the available responses.