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Chapter 2: Problem 30

Find each product. $$-6(-8)(11)$$

Short Answer

Expert verified
The product is 528.

Step by step solution

01

Multiply the first two numbers

First, multiply the first pair of numbers, -6 and -8: \[ (-6) \times (-8) = 48 \]The product of two negative numbers is positive.
02

Multiply the result by the third number

Now, take the result from Step 1, which is 48, and multiply it by the third number, 11: \[ 48 \times 11 = 528 \]This is a straightforward multiplication of two positive numbers.

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Key Concepts

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

Multiplication of Negative Numbers
Understanding the multiplication of negative numbers is essential in prealgebra. When you multiply two negative numbers, the product is always positive. This happens because the two negative signs cancel each other out.
For example, when you multiply
  • \((-6) \times (-8) = 48\)
Both numbers, \(-6\) and \(-8\), are negative. Their product, 48, is positive. It's a crucial rule in mathematics, and getting comfortable with it helps in solving various mathematical problems with ease.
Step-by-Step Problem Solving
Solving math problems step-by-step is an excellent approach to deal with complex equations. It helps by breaking down the problem into more manageable parts.
This method provides a clearer understanding and reduces mistakes. In our problem:
  • First step: Multiply the first two numbers, \(-6 \times -8\), which gives us 48.
  • Second step: Take the product 48 and multiply it by the next number, 11.
  • The final result is 528.
Each step logically follows the previous one, making complex problems simpler.
Mathematical Operations
In mathematics, operations like addition, subtraction, multiplication, and division are basic tools we frequently use. Multiplication is a powerful operation that can expand numbers to larger values quickly.
Understanding the rules of multiplication, especially dealing with negative numbers, can help keep operations accurate.
  • Two negatives make a positive in multiplication.
  • Continuing with multiplication once the negative is resolved involves simple arithmetic.
Getting comfortable with these operations strengthens foundational math skills.
Educational Math Problems
Educational math problems help in understanding and applying math in real-life situations. They teach students not just calculation but logical thinking and problem-solving skills. Our initial problem not only deals with multiplication but also underscores the importance of sequence and logic in operations.
Math problems can be viewed as puzzles that can be solved by understanding foundational rules and operations.
  • They nurture critical thinking.
  • Encourage perseverance by presenting challenges.
  • Are designed to improve understanding over time, as each solved problem builds on previously understood concepts.
Incorporating these educational problems into regular practice is key to mastering math skills.

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Most popular questions from this chapter

Use the information below. In Wrightsville, North Carolina, during low tide, the beachfront in some places is about 350 feet from the ocean to the homes. High tide can change the width of a beach at a rate of \(-17\) feet an hour. It takes 6 hours for the ocean to move from low to high tide. What is the change in the width of the beachfront from low to high tide?

Graph each set of integers on a number line. $$\\{-4,0,6,-7,-1\\}$$

Order the integers in each set from least to greatest. \((98,-57,-60,38,188)\)

Evaluate each expression. $$ |46| \quad$$

Order the integers in each set from least to greatest. \((19,-16,4,62,-80)\)
See all solutions

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