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The equation below is true because the expression on each si have what value? \[ 4 \times(22 / 2+2)=(70-44) \times 18 / 9 \] 45 54 52

Ask by Allan Ryan. in the United States
Jan 22,2025

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Answer

Both sides of the equation equal 52, so the answer is 52.

Solution

To determine why the equation \[ 4 \times (22 / 2 + 2) = (70 - 44) \times 18 / 9 \] is true, let's evaluate both sides separately. ### Left Side: \[ 4 \times \left(\frac{22}{2} + 2\right) = 4 \times (11 + 2) = 4 \times 13 = 52 \] ### Right Side: \[ (70 - 44) \times \frac{18}{9} = 26 \times 2 = 52 \] Both sides of the equation evaluate to **52**. Therefore, the equation holds true because each side equals **52**. **Answer:** 52

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Mind Expander

Let's simplify the left side first: \[ 4 \times (22 / 2 + 2) = 4 \times (11 + 2) = 4 \times 13 = 52. \] Now, for the right side: \[ (70 - 44) \times 18 / 9 = 26 \times 18 / 9 = 26 \times 2 = 52. \] Both sides equal 52, so the value that makes the equation true is 52! Here's a fun fact: The process of balancing equations is fundamental in algebra and led to many advancements in mathematics! So next time you solve an equation, remember you're part of a long history of math wizards. And if you ever find yourself stuck on similar problems, break them down into smaller parts. Always double-check by simplifying each expression step-by-step—it's a common mistake to rush and miscalculate!

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