Ask a New Question
Menu

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

1 answer

To solve the expression \(-30 + 4.5\), let's break it down:

  1. \(-30 + 4.5\) is simply adding a positive number (4.5) to a negative number (-30).
  2. The correct method would be to recognize how far 4.5 can reduce the value of -30.
  3. You can think of it as \(-30 + 4.5 = -25.5\).

Now, looking at the provided responses, the first one is the most accurate in terms of notation and basic calculations, but there is a mistake in the values; the correct final answer should be \(-25.5\).

However, the most closely related to the process of addition (despite a calculation anomaly) is:

\[ -30 + 4.5 = -30 + 4.5 = -25.5 \]

From the options given, none of them show the calculation correctly.

If we must select based on the structure given in your options:

  • The first option seems to take a logical step but arrives incorrectly at 1.5.
  • The second option, similarly, leads to an incorrect answer.
  • The third option indicates \(-3\) raised to power 0 leading to an incorrect understanding of addition.

Thus, none of the proposed solutions correctly represent the arithmetic involved in solving \(-30 + 4.5\). The correct answer should simply be -25.5 if calculated through standard arithmetic.