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Chapter 1: Problem 17

\(0 \div 9\)

Short Answer

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Step by step solution

01

Understand the Division

Division involves splitting a number into equal parts. Here, we need to divide 0 by 9.
02

Analyze the Dividend

The dividend is the number being divided. In this exercise, the dividend is 0.
03

Analyze the Divisor

The divisor is the number by which the dividend is divided. In this exercise, the divisor is 9.
04

Perform the Division

When 0 is divided by any non-zero number, the result is always 0. Hence, dividing 0 by 9 results in 0.

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Key Concepts

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

Understanding Division
Division is a fundamental concept in mathematics, which involves splitting a quantity into equal parts. It is one of the basic arithmetic operations alongside addition, subtraction, and multiplication.

When we divide a number, we are essentially distributing it evenly into groups. For example, if we have 12 cookies and want to divide them among 4 friends, each friend would get 3 cookies.

In mathematical notation, division is represented by the division symbol (梅) or a slash (/). The number being divided is called the dividend, and the number we are dividing by is called the divisor.

  • Example: In the division problem 12 梅 4, 12 is the dividend and 4 is the divisor.
Understanding these terms will help make division problems easier to solve.
Dividend and Divisor
To grasp the concept of division fully, it's crucial to understand the terms 'dividend' and 'divisor.'

Dividend: The dividend is the number you want to divide. It is the total amount that you want to split into equal parts. In the exercise, 0 梅 9, the dividend is 0.

Divisor: The divisor is the number by which you divide the dividend. It determines how many equal parts the dividend is being split into. In the same exercise, the divisor is 9.

These two components are key to solving a division problem. In any division equation, knowing the role of each number can simplify the entire process.
Division by Non-Zero Number
One important rule in mathematics is that you cannot divide by zero. However, you can divide zero by any non-zero number.

In the problem 0 梅 9, zero is divided by a non-zero number (9). When you divide zero by any non-zero number, the result is always zero. This is because there is nothing to distribute; zero divided into any number of parts still equals zero.

  • Example: 0 梅 5 = 0.

  • Example: 0 梅 100 = 0.
Remember, dividing any number by zero is undefined, but dividing zero by any non-zero number yields zero.

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Most popular questions from this chapter

Problem: Complete the "Understand the problem," "Make a plan," and "Complete the plan" steps. A 20 -acre field is going to be divided into building lots. The area of each lot is \(\frac{2}{5}\) acre. Find the number of lots in the development. Incorrect Answer: The unknown is the number of lots: \(L\) = number of lots. To find the number of lots, multiply the area by the number of lots. $$ \begin{aligned} &L=\left(\frac{2}{5}\right)(20) \\ &L=8 \text { lots } \end{aligned} $$

If the eye of a person standing on the deck of a boat is 12 ft above the surface of the water, find the distance of the person to the horizon. Round to the nearest tenth.

Find the volume of a sphere with a diameter of \(25 \mathrm{in}\).

\(\sqrt{49}\)

$$ 9000\( earning \)5 \%$ annual simple interest for 8 years.
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