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Which of the following shows the correct process of solving −30+4.5 ?(1 point)

−3^0+4.5=−3⋅0+4.5=0+4.5=4.5

−3^0+4.5=−3+4.5=1.5

−3^0+4.5=(−3)^0+4.5=1+4.5=5.5

−3^0+4.5=−1⋅3^0+4.5=−1⋅1+4.5=−1+4.5=3.5

1 answer

To solve the expression \(-30 + 4.5\), we first need to determine if any of the given choices correctly follow a proper process. Let's analyze the options:

  1. Option 1: \(-3^0 + 4.5 = -3 \cdot 0 + 4.5 = 0 + 4.5 = 4.5\)

    This option incorrectly uses \(-3^0\). The correct evaluation of \(-3^0\) is that it's equal to \(-1\).

  2. Option 2: \(-3^0 + 4.5 = -3 + 4.5 = 1.5\)

    This is also incorrect for the same reason as option 1. \(-3^0\) is not equal to \(-3\); it is \(-1\).

  3. Option 3: \(-3^0 + 4.5 = (-3)^0 + 4.5 = 1 + 4.5 = 5.5\)

    This is incorrect because \((-3)^0\) equals \(1\), but it's not relevant to the original expression of \(-30 + 4.5\).

  4. Option 4: \(-3^0 + 4.5 = -1 \cdot 3^0 + 4.5 = -1 \cdot 1 + 4.5 = -1 + 4.5 = 3.5\)

    This option also miscalculates; although it correctly states that \(-3^0 = -1\), it does not pertain to the expression \(-30 + 4.5\).

None of the options show the correct process for solving \(-30 + 4.5\). The correct calculation would simply be:

\(-30 + 4.5 = -25.5\)

So, none of the provided options are correct.