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Chapter 15: Problem 19

Simplify. $$ 0 \div(-10) $$

Short Answer

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Step by step solution

01

Identify the division operation

In this exercise, the task is to simplify the expression: 0 divided by -10.
02

Apply the division property of zero

According to the division property of zero, any number divided by zero is always zero. Therefore, 0 divided by -10 is 0.

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Key Concepts

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

Division
In mathematics, division is one of the four basic arithmetic operations. It involves separating a number into equal parts. The number you are dividing is called the dividend, and the number you are dividing by is called the divisor. For example, in the division problem 6 梅 3, 6 is the dividend and 3 is the divisor. The answer to a division problem is called the quotient. Understanding division is key because it is used in many areas of math, including fractions, percentages, and ratios.
Zero Property
The zero property in division states that any number divided by zero is always zero. This is a unique characteristic of zero in arithmetic operations. For example, if you have the division problem 0 梅 (-10), the answer is zero. This property simplifies calculations and helps in solving complex mathematical problems more easily. However, it鈥檚 important to note that division by zero, where zero is the divisor, is undefined and cannot be computed.
Simplification
Simplification in math refers to making an expression or equation as simple as possible. When you simplify a math problem, you reduce it to its simplest form to make it easier to understand and solve. In the given exercise, we need to simplify 0 梅 (-10). By applying the zero property of division, we find that the quotient is 0. Simplifying problems helps make math more approachable and less intimidating, especially when dealing with complex expressions or large numbers.

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