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Answer :
- Multiply -7 and 3 to get -21.
- Multiply -21 and -2 to get 42.
- Multiply 42 and -5 to get -210.
- Multiply -210 and -1 to get 210. The final answer is $\boxed{210}$.
### Explanation
1. Understanding the Problem
We are asked to find the product of five integers: $-7$, $3$, $-2$, $-5$, and $-1$. The expression is $-7
\times 3 \times (-2) \times (-5) \times (-1)$.
2. Calculating the Product
Let's multiply the integers step by step:
First, multiply $-7$ and $3$: $-7 \times 3 = -21$.
Next, multiply $-21$ and $-2$: $-21 \times (-2) = 42$.
Then, multiply $42$ and $-5$: $42 \times (-5) = -210$.
Finally, multiply $-210$ and $-1$: $-210 \times (-1) = 210$.
3. Final Answer
Therefore, $-7 \times 3 \times (-2) \times (-5) \times (-1) = 210$.
### Examples
This type of calculation is useful in physics when calculating the net force acting on an object, where forces can be positive or negative depending on their direction. It also applies to financial calculations, such as determining the overall profit or loss from a series of transactions.
- Multiply -21 and -2 to get 42.
- Multiply 42 and -5 to get -210.
- Multiply -210 and -1 to get 210. The final answer is $\boxed{210}$.
### Explanation
1. Understanding the Problem
We are asked to find the product of five integers: $-7$, $3$, $-2$, $-5$, and $-1$. The expression is $-7
\times 3 \times (-2) \times (-5) \times (-1)$.
2. Calculating the Product
Let's multiply the integers step by step:
First, multiply $-7$ and $3$: $-7 \times 3 = -21$.
Next, multiply $-21$ and $-2$: $-21 \times (-2) = 42$.
Then, multiply $42$ and $-5$: $42 \times (-5) = -210$.
Finally, multiply $-210$ and $-1$: $-210 \times (-1) = 210$.
3. Final Answer
Therefore, $-7 \times 3 \times (-2) \times (-5) \times (-1) = 210$.
### Examples
This type of calculation is useful in physics when calculating the net force acting on an object, where forces can be positive or negative depending on their direction. It also applies to financial calculations, such as determining the overall profit or loss from a series of transactions.
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