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Which of the following is developed to result in the answer of 1?(1 point)

Responses

3(80)
3 left parenthesis 8 superscript 0 baseline right parenthesis

50+90
5 superscript 0 baseline plus 9 superscript 0 baseline

(−2.97)0
left parenthesis negative 2.97 right parenthesis superscript 0 baseline

13−(7.42)0
13 minus left parenthesis 7.42 right parenthesis superscript 0 baseline

3 answers

The answer of 1 is obtained from any expression where a non-zero number is raised to the power of 0.

Let's evaluate the options:

  1. \( 3(80) \) - This equals 240, not 1.
  2. \( 5^0 + 9^0 \) - This equals 1 + 1 = 2, not 1.
  3. \( (-2.97)^0 \) - This equals 1 (since any non-zero number raised to the power of 0 is 1).
  4. \( 13 - (7.42)^0 \) - This equals 13 - 1 = 12, not 1.

The developed expression that results in the answer of 1 is: \( (-2.97)^0 \).

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

−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
negative 3 superscript 0 baseline plus 4.5 equals negative 3 plus 4.5 equals 1.5

−30+4.5=(−3)0+4.5=1+4.5=5.5

Let's evaluate the responses for the expression \(-30 + 4.5\).

\(-30\) is actually the same as \(-3 \times 10\), but in the context of the answers provided, the more direct operations involving arithmetic operations would be:

  1. The first response incorrectly represents the operations: \(-30 + 4.5 = -1 \cdot 30 + 4.5\) which is not correct since it misrepresents the numbers. This leads to incorrect steps and resulting in 3.5.

  2. The second response also doesn't move correctly through the operations, as it shows: \(-30 + 4.5 = -3 \cdot 0 + 4.5\), which is not logically correct since \(-30\) should not be equal to \(-3 \cdot 0\). This leads to the conclusion of 4.5, which is wrong.

  3. The third response, \(-30 + 4.5 = -3 + 4.5\), incorrectly simplifies \(-30\) to \(-3\), which is not correct. It concludes with a final result of 1.5, which is also wrong.

  4. The fourth response, \(-30 + 4.5 = (-3)^0 + 4.5\), incorrectly represents \(-30\) and ends up calculating \(1 + 4.5\), resulting in 5.5.

None of the solutions presented reach the correct calculation of \(-30 + 4.5\), which equals \(-25.5\). Therefore, all answer choices provided are technically incorrect based on standard arithmetic.

However, if one were to be considered the least misleading despite errors, the closest arithmetic process would be \( -30 + 4.5\) actually calculated directly, without incorrect transformations. None of the steps properly adhere to correct arithmetic rules leading to the right answer.