Problem 35 Multiply $2(-4)(-1)$ A. -8 ... [FREE SOLUTION]

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Mathematical Reasoning Workbook for the GED Test

McGraw-Hill Education

$Math Studyset 91影视 Explanations$ Math

4 Edition

Chapter 1: Problem 35

Multiply $2(-4)(-1)$ A. -8 B. 8 C. 7 D. -3

Short Answer

Expert verified

B. 8

Step by step solution

- Understand Multiplication of Integers

To solve this exercise, it is essential to understand how to multiply integers, especially when negative numbers are involved. Recall that the product of two negative numbers is a positive number.

- Multiply the First Two Numbers

Start by multiplying the first two numbers: a. Multiply 2 by -4: $ 2 \times (-4) = -8 $ b. The result is -8.

- Multiply the Result with the Third Number

Next, multiply the result from step 2 (-8) by the third number (-1): a. Multiply -8 by -1: $ -8 \times (-1) = 8 $ b. The result is 8.

- Select the Correct Answer

Based on the calculations, the final answer is 8. Thus, the correct option is B.

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Key Concepts

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

multiplying integers

When multiplying integers, knowing the rules can make the process simpler. Integers are whole numbers that can be either positive or negative. When you multiply any two integers, the product can be positive or negative, depending on the signs of the integers involved.
Here鈥檚 a quick guide:

Multiplying two positive integers results in a positive product.
Multiplying two negative integers also gives a positive product.
Multiplying a positive integer by a negative integer yields a negative product.

Knowing these rules can greatly help in solving multiplication problems involving integers.

negative numbers

Negative numbers are numbers less than zero, represented with a minus sign (-). Understanding how to handle negative numbers is crucial when performing operations like multiplication. For example:

If you multiply a negative number by another negative number, the negatives cancel out, and the product is positive.
When you multiply a negative number by a positive number, the product remains negative because the two different signs do not cancel each other out.

It鈥檚 important to be vigilant and not confuse the cancellation rule for addition and subtraction with multiplication.

product of integers

The product of integers refers to the result you get when you multiply two or more integers together. Consider the problem: Multiply 2, -4, and -1.

Let鈥檚 walk through it:

First, multiply 2 by -4. The positive multiplied by the negative results in -8. Hence, 2 脳 (-4) = -8.
Next, take the result (-8) and multiply it by -1. Since we鈥檙e multiplying two negative numbers, the result is a positive number. Thus, -8 脳 (-1) = 8.

Hence, the product of these integers (2, -4, and -1) is 8. Always apply the rules of integer multiplication to determine the correct sign and final product.

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91影视

Multiply \(2(-4)(-1)\) A. -8 B. 8 C. 7 D. -3

Short Answer

Step by step solution

- Understand Multiplication of Integers

- Multiply the First Two Numbers

- Multiply the Result with the Third Number

- Select the Correct Answer

Key Concepts

multiplying integers

negative numbers

product of integers

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