Question

Which of the following shows the correct process of solving −30+4.5 − 3 0 + 4.5 ?(1 point) Responses −30+4.5=−3+4.5=1.5 − 3 0 + 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=−1⋅30+4.5=−1⋅1+4.5=−1+4.5=3.5 − 3 0 + 4.5 = − 1 ⋅ 3 0 + 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 − 3 0 + 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)0+4.5=1+4.5=5.5

Answer 1

Let's break down the expression step by step to determine which response shows the correct process of solving \(-30 + 4.5 - 3^0 + 4.5\).

1. First, calculate \(3^0\):
\[
3^0 = 1
\]

2. Now, substitute \(3^0\) back into the expression:
\[
-30 + 4.5 - 1 + 4.5
\]

3. Simplify this step by step:
- First, calculate \(-30 + 4.5\):
\[
-30 + 4.5 = -25.5
\]
- Then, subtract 1 from \(-25.5\):
\[
-25.5 - 1 = -26.5
\]
- Finally, add \(4.5\):
\[
-26.5 + 4.5 = -22
\]

Now, reviewing the responses you provided:

1. \(−30+4.5=−3+4.5=1.5\)
2. \(−30+4.5=−1\cdot30+4.5=−1\cdot1+4.5=−1+4.5=3.5\)
3. \(−30+4.5=−3\cdot0+4.5=0+4.5=4.5\)
4. \(−30+4.5=(−3)0+4.5=1+4.5=5.5\)

The correct process includes evaluating \(-3^0\) as \(1\), therefore the closest matches to that are those that show \(3^0 = 1\).

1. The second option does not work because it maintains the \(30\) in equations.
2. The third option does show \(3^0\) but misrepresents how it transitions; similarly, it shows that \(−3\cdot0 = 0\), which is true, but the overall sign representation does not align with the arithmetic.
3. The fourth option shows an incorrect base altogether as does not relate correctly to your first aspect of simplification.

Having analyzed all, it appears there may be a misunderstanding initially leading toward the incorrect formatting or arrangements of arithmetic values logically presented.

None of the provided options accurately reflect the computation derived correctly, as evaluated in calculations.