Question
Which of the following shows the correct process of solving -30 + 4.5? (1 point)
A. -3^0 + 4.5 = -3 X 0 + 4.5 = 0 + 4.5 = 4.5
B. -3^0 + 4.5= -1 X 3^0 + 4.5= -1 X 1+4.5= -1+4.5=3.5
C. -3^0 + 4.5 = (-3)^0 + 4.5 = 1 + 4.5 = 5.5
D. -3^0 + 4.5 = -3 + 4.5 = 1.5
A. -3^0 + 4.5 = -3 X 0 + 4.5 = 0 + 4.5 = 4.5
B. -3^0 + 4.5= -1 X 3^0 + 4.5= -1 X 1+4.5= -1+4.5=3.5
C. -3^0 + 4.5 = (-3)^0 + 4.5 = 1 + 4.5 = 5.5
D. -3^0 + 4.5 = -3 + 4.5 = 1.5
Answers
Answer
so it’s b
Answered by
GPT-4o mini
To solve the expression \(-30 + 4.5\), we need to clarify the operations involved and analyze the choices provided:
First, let's break down the expression \(-30 + 4.5\):
\[
-30 + 4.5 = -25.5
\]
Now let's analyze each of the provided options to see if they accurately represent this or mistakenly apply operations:
A. \(-3^0 + 4.5 = -3 \times 0 + 4.5 = 0 + 4.5 = 4.5\)
This is incorrect because \(-3^0\) is actually \(-1\) (as \(3^0 = 1\), so \(-3^0 = -1\)). The correct calculation would be:
\[
-3^0 + 4.5 = -1 + 4.5 = 3.5
\]
So, A is incorrect.
B. \(-3^0 + 4.5 = -1 \times 3^0 + 4.5 = -1 \times 1 + 4.5 = -1 + 4.5 = 3.5\)
This correctly interprets \(-3^0\) as \(-1\) and gets to \(3.5\), which is accurate. So, B is correct, but the sum does not equal \(-30 + 4.5\).
C. \(-3^0 + 4.5 = (-3)^0 + 4.5 = 1 + 4.5 = 5.5\)
This is incorrect because \((-3)^0\) is equal to \(1\), hence \(1 + 4.5 = 5.5\) is not relevant to our expression, so C is incorrect.
D. \(-3^0 + 4.5 = -3 + 4.5 = 1.5\)
This is incorrect as well since it misapplies the exponent. \(-3^0\) is not equal to \(-3\).
In summary, none of the options accurately and directly relate to solving the expression \(-30 + 4.5\), but option B demonstrates an understanding of how to handle exponents correctly. However, none of the answers correctly apply to \(-30 + 4.5\) directly.
In conclusion, if we are to choose the most correct answer related to the operations performed within the options provided, option B is the best choice despite not addressing the original question of \(-30 + 4.5\).
First, let's break down the expression \(-30 + 4.5\):
\[
-30 + 4.5 = -25.5
\]
Now let's analyze each of the provided options to see if they accurately represent this or mistakenly apply operations:
A. \(-3^0 + 4.5 = -3 \times 0 + 4.5 = 0 + 4.5 = 4.5\)
This is incorrect because \(-3^0\) is actually \(-1\) (as \(3^0 = 1\), so \(-3^0 = -1\)). The correct calculation would be:
\[
-3^0 + 4.5 = -1 + 4.5 = 3.5
\]
So, A is incorrect.
B. \(-3^0 + 4.5 = -1 \times 3^0 + 4.5 = -1 \times 1 + 4.5 = -1 + 4.5 = 3.5\)
This correctly interprets \(-3^0\) as \(-1\) and gets to \(3.5\), which is accurate. So, B is correct, but the sum does not equal \(-30 + 4.5\).
C. \(-3^0 + 4.5 = (-3)^0 + 4.5 = 1 + 4.5 = 5.5\)
This is incorrect because \((-3)^0\) is equal to \(1\), hence \(1 + 4.5 = 5.5\) is not relevant to our expression, so C is incorrect.
D. \(-3^0 + 4.5 = -3 + 4.5 = 1.5\)
This is incorrect as well since it misapplies the exponent. \(-3^0\) is not equal to \(-3\).
In summary, none of the options accurately and directly relate to solving the expression \(-30 + 4.5\), but option B demonstrates an understanding of how to handle exponents correctly. However, none of the answers correctly apply to \(-30 + 4.5\) directly.
In conclusion, if we are to choose the most correct answer related to the operations performed within the options provided, option B is the best choice despite not addressing the original question of \(-30 + 4.5\).
Answered by
GPT-4o mini
Yes, option B is the most accurate in terms of handling the exponent correctly, even though it does not directly relate to solving the original expression \(-30 + 4.5\).
Option B correctly evaluates the expression \(-3^0 + 4.5\) as follows:
\[
-3^0 + 4.5 = -1 + 4.5 = 3.5
\]
So, while it does not reflect the original question about \(-30 + 4.5\), it shows the correct process of manipulating the expression provided. Thus, you can choose B as the correct option based on the reasoning given.
Option B correctly evaluates the expression \(-3^0 + 4.5\) as follows:
\[
-3^0 + 4.5 = -1 + 4.5 = 3.5
\]
So, while it does not reflect the original question about \(-30 + 4.5\), it shows the correct process of manipulating the expression provided. Thus, you can choose B as the correct option based on the reasoning given.
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