/*! 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 71 Find each product. $$ \frac{... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 0: Problem 71

Find each product. $$ \frac{1}{2}(0) $$

Short Answer

Expert verified
0

Step by step solution

01

- Understand the Problem

We need to find the product of two factors: \(\frac{1}{2}\) and 0.
02

- Apply the Multiplication Property of Zero

Any number multiplied by 0 is always 0. Therefore, \(\frac{1}{2} \times 0 = 0\).

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 property of zero
The multiplication property of zero states that any number multiplied by zero equals zero. This is a fundamental property in mathematics and applies to all real numbers, fractions, and even very large numbers. It's useful when simplifying expressions or solving equations. For example, if you multiply \(\frac{1}{2}\) by zero, it brings you a result of zero, as in \[ \frac{1}{2} \times 0 = 0 \]. This property helps in checking answers for multiplication problems as well.
basic algebraic operations
Basic algebraic operations are the foundational arithmetic processes in algebra, including addition, subtraction, multiplication, and division. These operations allow us to manipulate expressions and solve equations. Multiplication is one of these critical operations. Understanding its properties, such as the multiplication property of zero, enhances our ability to work with algebraic terms easily.
real numbers multiplication
Multiplying real numbers follows straightforward rules. Real numbers include all rational and irrational numbers. Whether dealing with integers, fractions, or decimals, the rules stay consistent. Multiplying a fraction like \(\frac{1}{2}\) with any real number, including zero, is just a matter of applying the multiplication principles. For instance, when you multiply \(\frac{1}{2}\) and zero, the outcome is zero as per the multiplication property of zero. This showcases how these basic multiplication rules apply universally in mathematics.

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 each expression. $$ 15+5 \cdot 2 $$

Complete each statement so that the indicated property is illustrated. Simplify each answer if possible. \(0(0.35 t+12 u) =\frac{ }{\text { (multiplication property of 0 )}}\)

Evaluate each expression for \(a=-3, b=64,\) and \(c=6 .\) $$ -2 a-\sqrt{b} $$

Simplify each expression. $$ \frac{2(-5)+(-3)(-2)}{-8+3^{2}-1} $$

Write each percent as a fraction. Give answers in lowest terms. See Example 13. $$ 8 \% $$
See all solutions

Recommended explanations on Math Textbooks

Discrete Mathematics

Read Explanation

Probability and Statistics

Read Explanation

Decision Maths

Read Explanation

Mechanics Maths

Read Explanation

Geometry

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.