Problem 137 In your own words, explain how t... [FREE SOLUTION]

Chapter 2: Problem 137

In your own words, explain how to divide two integers.

Short Answer

Expert verified

To divide two integers, divide the dividend by the divisor and check by multiplying back.

Step by step solution

Understand Division

Division is the process of splitting a number (called the dividend) into equal parts as defined by another number (called the divisor). For instance, if you want to know how many times the number 3 can be subtracted from the number 12, that is a division operation: 12 divided by 3.

Set Up the Division

Write the division phrase as a mathematical expression. If dividing 12 by 3, it will be written as 12 梅 3 or \( \frac{12}{3} \). In this setup, 12 is the dividend and 3 is the divisor.

Perform the Division

Divide the dividend by the divisor. Calculate how many times the divisor can be fitted into the dividend perfectly. For example, 3 fits into 12 exactly 4 times. Therefore, \( \frac{12}{3} = 4 \).

Verify the Result

To ensure the division is correct, multiply the result (quotient) by the divisor. This product should equal the dividend. Multiplying 4 (the quotient) by 3 (the divisor) gives 12, confirming the division is correct.

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Key Concepts

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

Integer Division Process

Dividing integers might seem straightforward, but it's essential to grasp the fundamental steps involved. The goal is to see how many times the divisor can fit into the dividend without leaving a remainder. Here鈥檚 how it works:

Understanding the Terms: In any division problem, the "dividend" is the number you want to divide, while the "divisor" is the number by which you are dividing.
Execution: Calculate how many whole times the divisor can be subtracted from the dividend. This operation informs you about the quotient, the result of the division.

Understanding the integer division process provides a solid foundation to tackle even complex mathematical problems with confidence.

Division Setup

Setting up your division problem correctly is crucial for ensuring accurate results. Think of this step as organizing your tools before starting a project. Here's how you can set up a division:

Write the Expression: Start by writing the division as a mathematical expression, such as 12 梅 3 or \( \frac{12}{3} \).
Identify Components: Clearly label the dividend and divisor to avoid confusion. In this case, 12 is your dividend and 3 is your divisor.

This setup helps in visualizing the problem and assists in calculating the division effectively.

Verification of Division Results

Once you've completed your division, it's important to verify that your answer is correct. This step not only ensures accuracy but also reinforces your understanding of the division process. Here's how you can verify your results:

Multiply Back: Take the quotient (the result of the division) and multiply it by the divisor. In our example, multiplying 4 (the quotient) by 3 (the divisor) gives you 12, which is the dividend.
Check for Equality: Confirm that this product matches the original dividend. If they match, it confirms that your division is accurate.

Practicing verification helps solidify your skills, ensuring that your calculations in integer division are reliable and precise.

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91影视

In your own words, explain how to divide two integers.

Short Answer

Step by step solution

Understand Division

Set Up the Division

Perform the Division

Verify the Result

Key Concepts

Integer Division Process

Division Setup

Verification of Division Results

One App. One Place for Learning.

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