/*! 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 118 Perform these computations. $$... [FREE SOLUTION] | 91影视

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Chapter 1: Problem 118

Perform these computations. $$0 \div(-36)$$

Short Answer

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Step by step solution

01

Identify the Dividend and Divisor

The dividend in the expression is 0 and the divisor is -36.
02

Apply the Division Rule

Any number divided by zero, except zero itself, is zero. In this case, you have 0 as the dividend and -36 as the divisor.
03

Compute the Division

Since dividing zero by any non-zero number results in zero: 0 divided by -36 = 0

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Division By Zero
In algebra and basic arithmetic, division by zero is an important concept to understand. Division by zero happens when you try to take a number and divide it by zero, like 5 divided by 0. This operation is undefined because no number can be multiplied by 0 to produce the numerator. The result is simply not valid in mathematics.

You may sometimes see a fraction with a denominator of zero, and it鈥檚 crucial to recognize that this is not a valid expression. This concept is often a source of confusion, so it's essential to remember:
  • Any number divided by zero is undefined.
  • Zero divided by any non-zero number is zero.

This distinction helps avoid mistakes in various mathematical operations and ensures calculations are accurate and meaningful.
Dividend and Divisor
To tackle division problems effectively, you should be familiar with the terms 'dividend' and 'divisor'. These terms are foundational in understanding division operations.

The dividend is the number that is being divided. For example, in the expression 8 梅 4, 8 is the dividend.

The divisor is the number by which the dividend is being divided. In the same expression, 8 梅 4, 4 is the divisor. Understanding these terms can simplify complex problems because it clarifies which number is being split and how.

In our exercise, the dividend is 0, and the divisor is -36. Recognizing these helps us apply the correct rules for division and thus arrive at the solution efficiently.
Basic Arithmetic Operations
Understanding basic arithmetic operations is crucial for solving mathematical problems. These operations form the foundation of all math and include addition, subtraction, multiplication, and division:
  • Addition: Combining two or more numbers to get a sum.
  • Subtraction: Determining the difference between numbers by taking one away from another.
  • Multiplication: Repeatedly adding a number to itself a certain number of times.
  • Division: Splitting a number into equal parts or groups.

In division, we use a dividend and a divisor to determine how many times the divisor fits into the dividend. For example, in dividing 12 by 3, we find that 3 goes into 12 four times, so the result is 4.

In our specific problem, dividing 0 by any non-zero number like -36 results in 0. This is a fundamental principle that consistently holds true in division. Understanding these basics makes more advanced topics easier to grasp.

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