/*! 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 52 Find each product or quotient. ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 52

Find each product or quotient. $$ -5 t(-1) $$

Short Answer

Expert verified
The product is 5.

Step by step solution

01

Identify the given numbers

Identify the numbers involved in the multiplication. In this case, the numbers are -5 and -1.
02

Multiply the numbers

To find the product, multiply the two numbers together: ewline \begin{align*} -5 \times -1 ewline = 5 ewline \text{(since the product of two negative numbers is positive)} ewline \text{(\text{-}5 + \text{-a}) = 5} ewline \text{(*multiplied by \text{-a} => multiplied by \text{-\(1\))}}. ewline \text(X + Z) = 5}. ewline We see that the product of -5 and -1 becomes positive five \(ewline\). 5 multiplied by -1, so it is $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 Numbers
When studying mathematics, it's important to understand negative numbers. A negative number is a number that is less than zero. Commonly represented with a minus sign (-), negative numbers are found everywhere in real life - like temperatures below freezing or debts in a bank account.
For example:
  • -5 is a negative number.
  • -1 is a negative number.

Negative numbers can be tricky because they behave differently from positive numbers, especially when performing operations like multiplication.
Product of Integers
Multiplying integers involves finding the product of two or more whole numbers. When working with both positive and negative integers, the rules of multiplication can change. Firstly, let's define what integers are. Integers include all positive whole numbers, their negative counterparts, and zero:
  • ... -3, -2, -1, 0, 1, 2, 3 ...

For example, when we multiply -5 and -1:
Multiply the absolute values: \( |-5| \times |-1| = 5 \times 1 = 5 \)
Since both numbers are negative, the product is positive: \( -5 \times -1 = 5 \)
Multiplication Rules
Understanding the rules of multiplication is crucial, especially when dealing with negative numbers. Here are the key points:
  • Positive 脳 Positive = Positive
  • Negative 脳 Negative = Positive
  • Positive 脳 Negative = Negative
  • Negative 脳 Positive = Negative

In this exercise, we see that multiplying two negative numbers, \( -5 \times -1 = 5 \), produces a positive result. This is because the negative signs cancel each other out.
Understanding these rules helps in correctly solving multiplication problems involving integers. Practice by solving various problems to get comfortable with these concepts.

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

Simplify. $$ -\frac{1}{2} m\left(-\frac{1}{2} m\right)-\frac{1}{2} m-\frac{1}{2} m $$

Use an operation with signed numbers to solve each problem and identify the operation used. The altitude of the floor of Death Valley is \(-282\) feet ( 282 feet below sea level); the altitude of the shore of the Dead Sea is \(-1296\) feet ( Rand McNally World Atlas). How many feet above the shore of the Dead Sea is the floor of Death Valley? (IMAGE CANT COPY)

Combine like terms. $$ -3 a+15 a $$

Writing What is the difference between a rational and an irrational number? Why is \(\sqrt{9}\) rational and \(\sqrt{3}\) irrational?

Find each product or quotient. $$ (-4 y)(-4 y) $$
See all solutions

Recommended explanations on Math Textbooks

Discrete Mathematics

Read Explanation

Pure Maths

Read Explanation

Probability and Statistics

Read Explanation

Logic and Functions

Read Explanation

Calculus

Read Explanation

Decision Maths

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.