Question
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\( \square \div 5 = 4 \cdots 4 \)

Ask by Park Barker. in Japan
Mar 12,2025

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Answer

\( \square = 24 \)

Solution

To solve the equation \( \square \div 5 = 4 \cdots 4 \), we need to interpret the notation correctly. The expression \( 4 \cdots 4 \) indicates that when we divide the unknown number (represented by \( \square \)) by 5, the quotient is 4 and the remainder is 4. This can be expressed mathematically as: \[ \square = 5 \times 4 + 4 \] Now, let's calculate this step by step. 1. Calculate \( 5 \times 4 \): \[ 5 \times 4 = 20 \] 2. Add the remainder (4) to the product: \[ 20 + 4 = 24 \] Thus, the value of \( \square \) is 24. Therefore, the solution is: \[ \square = 24 \]

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To solve the equation \( \square \div 5 = 4 \cdots 4 \), we can interpret this as \( \square \) being a number that, when divided by 5, results in a quotient of 4 and a remainder of 4. This means that \( \square \) can be expressed in a formula: \( \square = 5 \times 4 + 4 \). If we calculate that, we get \( \square = 20 + 4 = 24 \). So, the answer is \( \square = 24 \). Isn't it interesting how division and multiplication can reveal hidden connections between numbers? You can often think of division as splitting a chocolate cake among friends; if each friend gets a piece, the number of friends affects how much cake is left over. Every mathematical operation can have a delightful analogy, making it easier to understand! When approaching similar problems, it's essential to clearly identify the roles of the divisor, dividend, quotient, and remainder. A common mistake is assuming there is no remainder and forgetting to adjust the dividend accordingly. Always double-check your operations and remainders to avoid these pitfalls and ensure accuracy in your calculations!

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