/*! 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 29 Multiply. $$ (-25) \cdot 0 ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 29

Multiply. $$ (-25) \cdot 0 $$

Short Answer

Expert verified
The result is 0.

Step by step solution

01

- Understand Multiplication by Zero

Recall the rule that multiplying any number by zero results in zero. This rule applies to all integers, positive or negative.
02

- Apply the Rule

Apply the multiplication rule to the given numbers. Here, \((-25) \cdot 0\) means that \(-25\) is being multiplied by zero.
03

- Calculate the Result

Since any number multiplied by zero is zero, \((-25) \cdot 0 = 0\). This indicates that the result of the multiplication is zero.

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 rules
Multiplication is one of the basic operations in math. It involves finding the total number of items in groups of the same size. Understanding multiplication rules helps us simplify and solve many problems.
When multiplying, you should remember these rules:
  • Any number multiplied by 1 remains the same (Identity Property).
  • Multiplying by 0 gives 0 no matter the other number (Zero Property).
  • The order does not matter (Commutative Property for integers). For example, 3 * 4 = 4 * 3.

Applications of these rules help when dealing with more complex equations and they set the foundation for better understanding properties of numbers. Now, let鈥檚 connect this knowledge with the consideration of multiplication involving zero.
properties of integers
Integers include all whole numbers and their negatives. Understanding properties of integers is essential because these properties make operations easier.
Some key properties are:
  • Addition: The sum of any two integers is an integer. This is known as the Closure Property.
  • Multiplication: The product of any two integers is also an integer (also Closure Property for integers).
  • Associative Property: Changing the grouping of numbers does not change their sum or product. For example, (a + b) + c = a + (b + c).
  • Distributive Property: a(b + c) = ab + ac. This property connects multiplication and addition.

Understanding these properties is important for grasping concepts such as multiplication by zero because they explain how and why multiplication works regardless of the numbers involved.
zero property of multiplication
The Zero Property of multiplication is a fundamental rule. This property states that any number multiplied by zero is zero. For example, 5 * 0 = 0, and -25 * 0 is also 0.
This property holds true for all real numbers, not just integers. Let鈥檚 break it down:
  • If you have zero groups of any number, you have zero of that number.
  • If any number is multiplied by zero, the result is always zero without exceptions.

In the ORIGINAL EXERCISE AND SOLUTION, we were asked to multiply (-25) by 0. We used the Zero Property of multiplication to determine that the answer is 0. No matter what the number, positive or negative, zero times any number equals zero.

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

Graph each rational number on the number line. $$ -\frac{17}{5} $$

Write decimal notation for each number. $$ -\frac{1}{2} $$

Subtract. $$ 5-(-12) $$

Find the opposite, or additive inverse. $$ -17 $$

match the expression with the appropriate wording from the column a) \(x\) minus negative twelve b) The opposite of \(x\) minus \(x\) c) The opposite of \(x\) minus twelve d) The opposite of \(x\) e) The opposite of \(x\) minus negative twelve I twelve minus the opposite of \(x\) g) Twelve minus \(x\) h) \(x\) minus twelve $$ x-(-12) $$
See all solutions

Recommended explanations on Math Textbooks

Discrete Mathematics

Read Explanation

Probability and Statistics

Read Explanation

Applied Mathematics

Read Explanation

Geometry

Read Explanation

Statistics

Read Explanation

Logic and Functions

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.