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\( 21 \div \square=7 \). (A) 1 (B) 3 (C) 7 (D) 9

Ask by Sanders King. in the United States
Feb 27,2025

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Answer

The answer is 3, choice B.

Solution

To solve the equation \( 21 \div \square = 7 \), we need to find the value of the square that makes this equation true. 1. Start by rewriting the equation: \[ 21 \div x = 7 \] where \( x \) is the value we need to find. 2. To isolate \( x \), we can multiply both sides of the equation by \( x \): \[ 21 = 7x \] 3. Next, divide both sides by 7 to solve for \( x \): \[ x = \frac{21}{7} \] 4. Calculate \( \frac{21}{7} \): \[ x = 3 \] Thus, the value of \( \square \) is \( 3 \). The correct answer is (B) 3.

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Bonus Knowledge

To solve \( 21 \div \square = 7 \), we can think of it like this: if we multiply the number we are looking for (the square) by 7, we should get 21. So, we can express this as \( \square = 21 \div 7 \). When we perform the division, we get \( \square = 3 \). Therefore, the correct answer is (B) 3. Moreover, division can be viewed as splitting a group into equal parts, which is a concept that even ancient civilizations utilized for trading and fair distribution. So, the next time you divide, remember that you're tapping into a practice as old as humanity itself! When it comes to avoiding mistakes, remember that it's easy to confuse multiplication and division. An effective tip is to always check your work by doing the reverse operation. If \( 3 \times 7 = 21 \) checks out, then you’ve got it right! Happy calculating!

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