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Chapter 2: Problem 22

Perform the divisions. $$240 梅 8$$

Short Answer

Expert verified
The result of 240 divided by 8 is 30.

Step by step solution

01

Understand the division format

The problem is asking us to divide 240 by 8. It can be written in fraction form as \(\frac{240}{8}\) or using the division sign as \(240 \div 8\).
02

Perform the division calculation

Let's find out how many times 8 can go into 240. We do this by performing the division: \(240 \div 8 = 30\).
03

Verify the result

To ensure the answer is correct, we multiply the quotient by the divisor and check if it equals the dividend: \(30 \times 8 = 240\). Since this matches the original dividend, our division calculation is correct.

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Key Concepts

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

Division Calculation
When you are tasked with a division problem like dividing 240 by 8, you start by asking yourself, "How many times does 8 fit into 240?" This process is known as division calculation. It involves breaking down a larger number (the dividend) into smaller, equal parts (the divisor).

To perform this calculation step by step:
  • First, take the dividend, which is 240 in our example.
  • Next, see how many times the divisor, which is 8, fits into 240.
  • Actually perform the division: Calculate 240 divided by 8.
  • The result of this division is what we call the quotient. For 240 梅 8, the quotient is 30.
This division tells us how many groups of 8 can be made from 240, with no remainder left over in this case.
Division Verification
After arriving at a quotient, it's important to verify if your division calculation is correct. Verification is an essential part of math because it reassures us that our solution is accurate.

To verify your division work, you can use multiplication:
  • Take the quotient from your division, which is 30.
  • Multiply it by the divisor, which is 8.
  • Check if the result equals the original dividend, 240.
If the multiplication \[30 \times 8 = 240\]holds true, it confirms that your division was performed correctly. Verification through multiplication is a quick and reliable way to ensure that no mistakes were made.
Understanding Division Format
Before performing any division, it's helpful to recognize the various ways division problems can be presented. Understanding division format helps in visualizing the problem and executing it efficiently.

When a problem states "240 divided by 8," it can be represented in multiple formats:
  • The most common format is using the division symbol: 240 梅 8.
  • Alternatively, you can write it as a fraction: \(\frac{240}{8}\).
These different formats essentially represent the same division operation but may vary in terms of how they are visually interpreted. Recognizing these formats allows you to approach any division problem with confidence and clarity. Whether you see it as symbols or as a fraction, the purpose is to determine the number of times the divisor fits into the dividend.

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Most popular questions from this chapter

For the following problems, perform the multiplications. You may check each product with a calculator. $$ \begin{array}{r} 9,300 \\ \times 1,130 \\ \hline \end{array} $$

In the division 24 梅 6 = 4, 6 is called the _________, and 4 is called the _________.

Find each product or quotient. $$ \begin{array}{r} 6102 \\ \times 1000 \\ \hline \end{array} $$

Find each product or quotient. $$ 84 \div 15 $$

In the multiplication 5 脳 9 = 45, 5 and 9 are called _______ and 45 is called the ________.
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