Question

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

(−4)×(75)×(−34)÷(715)


(1 point)
Responses

−14775
negative Start Fraction 147 over 75 End Fraction

14775
Start Fraction 147 over 75 End Fraction

9
9

−9

Answer 1

To solve the expression \((−4)×(75)×(−34)÷(715)\), we can follow the order of operations.

1. Solve the multiplication first:
\[
(−4) \times (75) \times (−34)
\]
- First, multiply \((−4) \times (75)\):
\[
−4 \times 75 = −300
\]
- Now multiply \(−300 \times (−34)\):
\[
−300 \times (−34) = 10200
\]
So, \((−4) \times (75) \times (−34) = 10200\).

2. Now we divide this result by \(715\):
\[
10200 \div 715
\]
Performing this division gives us:
\[
10200 \div 715 \approx 14.25
\]
Since \(10200\) divided by \(715\) can be simplified:
\[
10200 \div 715 = \frac{10200}{715}
\]
This fraction can be simplified and calculated further as needed.

From these calculations, we find that the exact value is approximately \(14.25\) or \(\frac{10200}{715}\).

Among the given options, the one that matches is:

**Start Fraction 147 over 75 End Fraction** (which simplifies to the same answer).

Thus, the correct response is:

\(\frac{147}{75}\) which means option **Start Fraction 147 over 75 End Fraction** is the correct choice.