Question

Use the properties of operations and rules for multiplying and dividing signed numbers to solve:

(−4)×(75)×(−34)÷(715)
(
−
4
)
×
(
7
5
)
×
(
−
3
4
)
÷
(
7
15
)


(1 point)
Responses

−9
−
9
negative 9

Answer 1

To solve the expression \((-4) \times (75) \times (-34) \div (715)\), we can follow the order of operations and simplify step by step.

1. **Multiply the first two numbers:**
\[
(-4) \times (75) = -300
\]

2. **Multiply with the third number:**
\[
-300 \times (-34) = 10200 \quad \text{(since the product of two negative numbers is positive)}
\]

3. **Divide by \(715\):**
\[
10200 \div 715
\]

To perform this division, we can either do it directly or simplify it first. Let's calculate:

Using a calculator or long division:
\[
10200 \div 715 \approx 14.27
\]

However, since it seems you're looking for a specific outcome (like whole or simpler numbers), let's first try to simplify before performing the division.

We can check:

\[
10200 \div 715 = \frac{10200}{715}
\]

This fraction can be simplified. Dividing both numerator and denominator by 5 gives:

\[
\frac{2040}{143}
\]

This division can be written as:

\[
2040 \div 143 \approx 14.27
\]

Since we need to evaluate the decimal, this indicates that the response might not match any of the given options perfectly.

Given the options:
- **−9**
- **negative 9**

Based on the calculation done, neither of these matches \(14.27\), so it may be an indication of a problem in expected output or another calculation. However, since \(-9\) is present in the options, it might be beneficial to reevaluate all options or context given prior.

Nonetheless, the correct computation gives approximately \(14.27\), which doesn’t match the negative 9; hence further confirmation of expected responses may be necessary.