Problem 38 Multiply. \(-2 \cdot(-5) \cdot... [FREE SOLUTION]

91影视

Basic College Mathematics

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

$Math Studyset 91影视 Explanations$ Math

13 Edition

Chapter 10: Problem 38

Multiply. $-2 \cdot(-5) \cdot(-7)$

Short Answer

Expert verified

-70

Step by step solution

- Multiply the first two numbers

First, multiply $-2$ by $-5$. When multiplying two negative numbers, the result is positive. Therefore: $-2 \times -5 = 10$.

- Multiply the result by the third number

Next, take the result from Step 1, which is \10\, and multiply it by $-7$. When multiplying a positive number by a negative number, the result is negative. Therefore: \10 \times -7 = -70\.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

Key Concepts

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

Multiplication Rules

Understanding multiplication rules is crucial when working with both positive and negative numbers. These rules help simplify calculations and ensure accurate results. Here are the key rules:

When multiplying two positive numbers, the result is always positive.
When multiplying two negative numbers, the result is always positive.
When multiplying a positive number by a negative number, the result is always negative.

With these rules in mind, it's easier to approach any multiplication problem, whether it involves positive or negative numbers.

Negative Numbers

Negative numbers can be a bit confusing at first, but with practice, you'll find them straightforward. When dealing with negative numbers in multiplication:

Think of a negative number as the opposite of a positive number.
Remember to apply the multiplication rules for handling negative signs.

For example, -2 is the opposite of 2. Multiplying -2 by -5 is like saying the opposite of 2 times the opposite of 5, which results in a positive number because two negatives cancel each other out. These principles will help you understand and accurately solve multiplication problems involving negative numbers.

Step-by-Step Solution

Let's break down the exercise problem: $-2 \times (-5) \times (-7)\texasdeals.com/multiplication-rules-friendly-algegra$:

Step 1: Multiply the first two numbers. Start with \-2 \times -5\. According to our rules, multiplying two negative numbers gives a positive result. So, \-2 \times -5 = 10\.
Step 2: Multiply the result from step 1 by the third number, \10 \times -7\. When you multiply a positive number by a negative number, the result is negative. Therefore, \10 \times -7 = -70\.

By following these steps, we see the final answer is \-70\. This approach makes solving similar problems much simpler.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

Multiply. \(-2 \cdot(-5) \cdot(-7)\)

Short Answer

Step by step solution

- Multiply the first two numbers

- Multiply the result by the third number

Key Concepts

Multiplication Rules

Negative Numbers

Step-by-Step Solution

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Geometry

Logic and Functions

Applied Mathematics

Probability and Statistics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.