/*! 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 32 Find the value of each of the fo... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Problem 32

Find the value of each of the following expressions. $$ (-6)(4) $$

Short Answer

Expert verified
Answer: -24

Step by step solution

01

Multiply the Numbers

To find the value of the expression, multiply the given numbers: $$ (-6)(4) $$
02

Apply Rule for Multiplication of Positive/Negative Integers

The rule for multiplication of positive/negative integers states that if the signs of the numbers being multiplied are the same (both positive or both negative), the product will be positive. If the signs are different (one positive and one negative), the product will be negative. In our case, we have one negative number and one positive number, so the product will be negative: $$ (-6)(4) = -24 $$ The value of the given expression is -24.

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
Negative numbers are numbers that are less than zero, and they are typically represented with a minus sign (-).
They appear to the left of zero on the number line.
Negative numbers are used in various situations such as temperature below zero, depths below sea level, and loss in financial situations.
  • In calculations, adding a negative number is like subtracting its positive counterpart.
  • For example, adding -3 is the same as subtracting 3.
  • When multiplying or dividing, the rules depend on the combination of negative and positive numbers being used.
Understanding negative numbers helps us grasp more complex mathematical concepts, including the multiplication of integers.
Positive Numbers
Positive numbers are greater than zero and have no sign or a plus sign (+) preceding them.
They are found to the right of zero on the number line and represent values above zero.
Examples include whole numbers like 1, 2, 3, as well as fractions and decimals like 0.5 or 1.25.
  • Positive numbers are used for representing quantities, distances, profits, and heights.
  • In calculations, multiplying and dividing positive numbers result in positive outcomes.
  • Adding positive numbers increases the total, much like earning or saving money.
Grasping the nature of positive numbers is essential for dealing with the operations involving both positive and negative numbers.
Multiplication Rules
Multiplication rules for integers help determine the sign and value of the product.
Here's a simple breakdown of these rules:
  • When multiplying two positive numbers, the result is a positive number. For example, \( 3 \times 4 = 12 \).
  • When multiplying two negative numbers, the result is a positive number. For example, \( (-3) \times (-4) = 12 \).
  • When multiplying a positive number and a negative number, the result is a negative number. For example, \( (-3) \times 4 = -12 \).
The rules are consistent and can be used to solve multiplication problems easily.
For expressions involving different signs, remember that a negative and a positive yield a negative product, just like in our exercise where \( (-6) \times 4 = -24 \).

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

Convert the numbers used in the following problems to scientific notation. In its orbit around the sun, the earth moves a distance one and one half feet in about 0.0000316 second.

Convert the numbers used in the following problems to scientific notation. A pi-meson is a subatomic particle that has a half-life of about 0.0000000261 second.

Convert the following numbers to standard form. $$ 8.88 \times 10^{-5} $$

Find the value of each of the following expressions. $$ -1(6-1) $$

Perform each multiplication. $$ \left(1 \times 10^{-4}\right)\left(6 \times 10^{24}\right) $$
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Decision Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Statistics

Read Explanation

Geometry

Read Explanation

Pure 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.