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Chapter 2: Problem 32

Multiply. $$(-3)(-5)(-2)(-4)$$

Short Answer

Expert verified
-240.

Step by step solution

01

- Multiply First Pair of Numbers

Start by multiplying the first two numbers: . Multiply = 15. this new product to the next number.
02

- Multiply Product by Next Number

Next, multiply the product ::15 :: Multiply = this product to the next number, -4: 1365o,135Product -120=2400
03

- Multiply the Final Result

Finally, multiply the last product by : 120 : = 鈥�.240.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

multiplication of integers
Multiplication of integers is the process of combining multiple whole numbers to get a product. When dealing with integers, you must be aware of the signs (positive or negative) as they affect the outcome.
negative numbers
Negative numbers are values less than zero, represented with a minus (-) sign. In multiplication, the product of two numbers will follow these rules:
  • Positive 脳 Positive = Positive
  • Negative 脳 Negative = Positive
  • Positive 脳 Negative = Negative
It's important to keep track of the signs to obtain the correct result.
order of operations
The order of operations is crucial in mathematics to ensure accurate results. For operations like multiplication, follow this sequence:
  • First, solve any expressions inside parentheses.
  • Next, perform any multiplications or divisions from left to right.
Carefully applying these rules ensures you get the right answer.
step-by-step solution
Following a step-by-step approach can make complex multiplications easier. Let's go through the given exercise:
Step 1: Start with the first pair of numbers: \[(-3) \times (-5) = 15\] Step 2: Multiply the result by the next number: \[15 \times (-2) = -30\] Step 3: Finally, multiply by the last number: \-30 \times (-4) = 120\ By taking it step by step, you avoid mistakes and clearly see how each calculation affects the next.

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