Problem 43 Multiply. \(-7 \cdot(-21) \cdo... [FREE SOLUTION]

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Basic College Mathematics

Marvin L. Bittinger, Judith A. Beecher, Barbara L. Johnson

$Math Studyset 91影视 Explanations$ Math

13 Edition

Chapter 10: Problem 43

Multiply. $-7 \cdot(-21) \cdot 13$

Short Answer

Expert verified

1911

Step by step solution

Multiply the first two numbers

First, multiply $ -7 $ and $ -21 $. According to the rules of multiplication, a negative times a negative is a positive. $ -7 \times -21 = 147 $.

Multiply the result with the third number

Next, take the result from Step 1, which is $ 147 $, and multiply it by $ 13 $. $ 147 \times 13 = 1911 $.

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Key Concepts

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

Negative Numbers

Understanding negative numbers is essential, especially when dealing with multiplication. A negative number is any number less than zero, located on the left side of the number line. For instance, -7 and -21 are negative numbers. They indicate a value below zero, often used to represent deficits, losses, or opposite directions. When multiplying negative numbers, it's crucial to follow specific rules to get the correct result.

Multiplication Rules

The rules for multiplying integers, especially negative numbers, can be summarized as follows:

Positive 脳 Positive = Positive - Multiplying two positive numbers always gives a positive result.
Negative 脳 Positive = Negative - Multiplying a negative number by a positive number results in a negative number, as it implies moving in the opposite direction on the number line.
Negative 脳 Negative = Positive - When multiplying two negative numbers, the negatives cancel out, resulting in a positive number.

These rules help in determining the sign of the product. So, when faced with the exercise $ -7 \cdot(-21) \cdot 13 $, we need to apply these rules step-by-step.

Step-by-Step Solution

Let's solve the multiplication problem $ -7 \cdot(-21) \cdot 13 $ step-by-step:

Step 1: Multiply the first two numbers: $ -7 \cdot (-21) $. According to our multiplication rules, a negative times a negative is a positive, so $ -7 \cdot (-21) = 147 $.
Step 2: Multiply the result from Step 1 by the third number: $ 147 \cdot 13 $. This gives us \ 147 \cdot 13 = 1911 \.
Following these steps and rules ensures the correct application of integer multiplication, leading to the final answer of 1911.

By carefully following these steps, students can solve such problems with confidence and accuracy.

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91影视

Multiply. \(-7 \cdot(-21) \cdot 13\)

Short Answer

Step by step solution

Multiply the first two numbers

Multiply the result with the third number

Key Concepts

Negative Numbers

Multiplication Rules

Step-by-Step Solution

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