Question

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+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 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

Answer 1

To solve the expression \(-30 + 4.5\), the correct steps illustrate the addition of a negative number and a positive number.

Let's break it down:

1. **Understanding the expression**: \(-30\) is the same as \(-3 \times 10\), but for simplification, we can think of it as just \(-30\).

2. **Adding**: When you add a positive number (4.5) to a negative number (−30), you are effectively subtracting that positive number from the absolute value of the negative number:
\[
-30 + 4.5 = -(30 - 4.5) = -25.5.
\]

Now let's evaluate your responses based on this understanding:

1. **Response 1**:
\(-30 + 4.5 = -1 \cdot 30 + 4.5 = -1 \cdot 1 + 4.5 = -1 + 4.5 = 3.5\)
- **Incorrect.**

2. **Response 2**:
\(-30 + 4.5 = -3 + 4.5 = 1.5\)
- **Incorrect.**

3. **Response 3**:
\(-30 + 4.5 = (-3)^0 + 4.5 = 1 + 4.5 = 5.5\)
- **Incorrect.**

4. **Response 4**:
\(-30 + 4.5 = -3 \cdot 0 + 4.5 = 0 + 4.5 = 4.5\)
- **Incorrect.**

None of the provided responses show the correct process for solving \(-30 + 4.5\) to arrive at the correct value of \(-25.5\).

If you have any further questions or need clarification on a specific part, feel free to ask!