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Chapter 1: Problem 16

Multiply. $$-5 \cdot(3) \cdot(-2) \cdot(-1) \cdot(-4)$$

Short Answer

Expert verified
The product of the given expression \(-5 \cdot(3) \cdot(-2) \cdot(-1) \cdot(-4)\) is \(120\).

Step by step solution

01

Group negative signs

Identify the negative signs in the expression and group them together. There are 4 negative signs (-5, -2, -1, and -4). The product of these negative signs will be \( (-1)(-1)(-1)(-1) \).
02

Group numbers

Now we have the numbers 5, 3, 2, 1, and 4, and we need to multiply them all together. So the expression becomes \( (5)(3)(2)(1)(4) \).
03

Multiply the negative signs and the numbers

Next, multiply the numbers and the negative signs separately. For the negative signs, since there are an even number of negative signs, their product will be positive. So, \( (-1)(-1)(-1)(-1) = 1 \). For the numbers, simply multiply them together: \( (5)(3)(2)(1)(4) = 120 \).
04

Combine the products

Finally, combine the results of the multiplication of the negative signs and the numbers to get the overall product: \( 1 \cdot 120 = 120 \) Therefore, the product of the given expression is 120.

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