/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 27 Translate to a mathematical expr... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Problem 27

Translate to a mathematical expression. Then simplify. The product of \(-5\) and 3

Short Answer

Expert verified
The product of -5 and 3 is -15.

Step by step solution

01

Identify the elements

Recognize the numbers involved in the problem: The numbers are -5 and 3.
02

Translate to a mathematical expression

The word 'product' indicates multiplication. Therefore, the mathematical expression for the product of -5and3 is \(-5 \times 3\).
03

Simplify the expression

Perform the multiplication: \(-5 \times 3 = -15\).

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
Multiplication is one of the basic arithmetic operations. When you multiply two numbers, you are essentially adding a number (called the multiplicand) to itself a certain number of times (the multiplier). For example, multiplying \(-5\times 3\) is the same as adding \-5 three times, which results in \-15. \(-5 + -5 + -5 = -15\). Multiplication is indicated by symbols like \(*\), \(x\), or even just a dot \(\cdot\). In our exercise, the word 'product' signals that we are dealing with multiplication.
simplification
Simplification in mathematics involves making an expression easier to understand or work with. For example, after we identify the multiplication operation in the expression \(-5 \times 3\), we perform the actual multiplication to get a simpler and final value. Here, \(-5 \times 3 = -15\). This process reduces the original expression to a single number, which is much easier to understand and use in further calculations.
negative numbers
Negative numbers are numbers less than zero and are represented with a minus sign \(-\). They are useful in various real-world contexts, such as temperatures below freezing or financial debts. When dealing with multiplication involving negative numbers, there are rules to keep in mind:
\(- \times + = -\)
\(- \times - = +\)
In our exercise, \(-5\) is a negative number. Multiplying it by \(+3\), a positive number, results in \-15 because a negative times a positive is always negative.

One App. One Place for Learning.

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

Get started for free

Most popular questions from this chapter

Translate each English phrase to a mathematical expression. Then simplify. 21 less than \(-34\)

Perform the indicated operation. $$18(-6)$$

Perform the indicated operation. $$(-7)^{2}$$

Assume \(a>0\) (this means that \(a\) is positive) and \(b<0\) (this means that \(b\) is negative). Find the sign of each expression. $$|a|+|b|$$

Translate each English phrase to a mathematical expression. Then simplify. Subtract 24 from \(-35\)
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Discrete Mathematics

Read Explanation

Probability and Statistics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Pure Maths

Read Explanation

Applied Mathematics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.