Problem 27 Multiply. $$ -5 \cdot(-2.3) ... [FREE SOLUTION]

91影视

Chapter 1: Problem 27

Multiply. $$ -5 \cdot(-2.3) $$

Short Answer

Expert verified

11.5

Step by step solution

Understand the Problem

Identify the numbers you need to multiply. In this problem, you need to multiply $$-5$$ and $$-2.3$$.

Use the Multiplication Rules for Negative Numbers

Remember that the product of two negative numbers is positive. So, the sign of the result will be positive.

Perform the Multiplication

Ignore the signs and multiply the absolute values of the numbers: $$5 \times 2.3 = 11.5$$.

Apply the Sign

Since the product of two negative numbers is positive, the final answer is $$11.5$$.

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.

Negative Multiplication Rules

Multiplying negative numbers can sometimes be tricky. However, remembering a few key rules can help a lot. When you multiply two negative numbers, their product is always positive. This is because negative signs cancel each other out. For instance, multiplying $ -5 $ and $ -2.3 $ follows this rule. Here's the reasoning:

A negative times a negative equals a positive.
A negative times a positive equals a negative.
A positive times a positive equals a positive.

Simply put, when the number of negatives is even, the product is positive. When it is odd, the result is negative.

Absolute Value Multiplication

When multiplying negative numbers, it helps to focus on their absolute values first. The absolute value of a number is its distance from zero. For example, the absolute value of $ -5 $ is 5, and for $ -2.3 $, it is 2.3.
Here鈥檚 how you can perform the multiplication:

Ignore the signs for a moment.
Multiply the absolute values of the numbers.

In our example, $ |鈭�5| = 5 $ and $ |鈭�2.3| = 2.3 $. So, we multiply these values together:
\[ 5 \times 2.3 = 11.5 \]
This gives us the positive value of the multiplication. Keeping the rules of negative multiplication in mind, we then apply the correct sign to our result.

Positive Product of Negatives

The multiplication of two negative numbers results in a positive product. This concept might seem a bit counterintuitive, but it鈥檚 a fundamental rule of mathematics. Take the example of multiplying $ -5 $ and $ -2.3 $.

First, we calculate the absolute values: 5 and 2.3.
Multiply them: \[ 5 \times 2.3 = 11.5 \]
Because both original numbers were negative, their product is positive: $ 11.5 $.

Keeping these steps in mind makes it much simpler to handle such multiplication problems. Remember, whenever you multiply two negative numbers, the strange-looking result is actually quite normal and always positive.

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. $$ -5 \cdot(-2.3) $$

Short Answer

Step by step solution

Understand the Problem

Use the Multiplication Rules for Negative Numbers

Perform the Multiplication

Apply the Sign

Key Concepts

Negative Multiplication Rules

Absolute Value Multiplication

Positive Product of Negatives

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Logic and Functions

Geometry

Decision Maths

Calculus

Discrete Mathematics

Study anywhere. Anytime. Across all devices.