/*! 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 2 Multiply. \(0 \times 495\)... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 2

Multiply. \(0 \times 495\)

Short Answer

Expert verified
Answer: The result of \(0 \times 495\) is 0.

Step by step solution

01

Write down the given problem

Write down the multiplication problem: \(0 \times 495\)
02

Apply multiplication by zero property

Multiply 0 by 495. Since any number multiplied by zero equals zero, the result is: \(0 \times 495 = 0\) Finished! The result of \(0 \times 495\) is 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 Properties
One of the core ideas in mathematics is understanding the properties that govern how numbers interact. In particular, multiplication has several vital properties that are essential to grasp. The multiplication by zero property is particularly noteworthy:
  • Any number multiplied by zero is always zero. This means, if you see a problem like \(0 \times 495\), the answer will always be zero, no matter what the other number is.
  • This property applies universally. Whether you have large numbers like a million or even fractions and decimals, multiplying by zero results in zero.
  • It emphasizes the absorbing property of zero in multiplication, as it effectively 'absorbs' the value of any number it is multiplied by into zero.
Understanding this property helps in simplifying complex equations and problems in mathematics.
Mathematics Fundamentals
Mathematics is built on a foundation of fundamental laws and properties that guide how operations are performed. Mastering these fundamentals is key to excelling in more advanced math topics. Here are some basics related to multiplication:
  • Multiplication is essentially repeated addition. For example, \(3 \times 4\) means adding 3 four times: \(3 + 3 + 3 + 3 = 12\).
  • The concept of zero plays a crucial role in many mathematical operations. Zero serves as a neutral element in addition but acts as a nullifying factor in multiplication.
  • Understanding multiplication properties like commutative, associative, and distributive properties is essential. However, the focus here is on the multiplication by zero property, which simplifies both basic and complex mathematical operations.
These foundational ideas help prepare students for tackling broader mathematical challenges by building their confidence and understanding.
Prealgebra Concepts
Prealgebra is often the bridge between basic arithmetic and more complex algebra. It introduces ideas that will be used throughout a student鈥檚 math journey. Here are a few crucial aspects:
  • Prealgebra reinforces the understanding of properties of numbers, including the multiplication of numbers by zero, as we've seen in this exercise.
  • Emphasis on patterns and the properties of operations like multiplication helps students develop mental math skills and intuition for problem-solving.
  • Prealgebra sets the stage for algebra by teaching students how to manipulate and simplify expressions, such as recognizing that \(0 \times 495 = 0\) instantly through the zero property.
Grasping these prealgebra concepts provides a strong base for later topics in algebra and higher 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. Show your steps. $$43-2(2+4)$$

Solve. Crown molding is to be installed in a 16 -foot-wide by 20 -foot-long living room. The subcontractor charges \(\$4\) per foot to install the molding. What will be the total cost of installing molding for the room?

Solve. Concrete will be poured to form a swimming pool that measures 40 feet long by 30 feet wide by 4 feet deep. If the concrete is 1 foot thick, what volume of concrete is needed to form the pool?

Solve. The walls of a 24 -foot-long by 15 -foot-wide room with a 9 -foot ceiling are to be painted. The room has a 6 -foot-wide by 7 -foot-high entryway and two windows each measuring 3 feet high by 2 feet wide. What is the area to be painted? If each gallon of paint covers 400 square feet, how many gallons will be needed?

For Exercises 51鈥�58, find the mean, median, and mode. $$5,7,3,13,9,6,13$$
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Geometry

Read Explanation

Discrete Mathematics

Read Explanation

Mechanics Maths

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.