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The movement of the progress bar may be uneven because questions can be worth mor Which of the following equations is true? \( 1+1=1 \cdot 1 \) \( 2 \cdot 1 \cdot 0=2+1+0 \) \( 10 \cdot 1=0+10 \) \( 4+1=4 \cdot 0 \)

Ask by Bowers Collins. in the United States
Jan 24,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

\( 10 \cdot 1 = 0 + 10 \) is the true equation.

Solution

Let's evaluate each of the given equations one by one to determine which one is true. 1. **Equation 1: \( 1 + 1 = 1 \cdot 1 \)** - Left side: \( 1 + 1 = 2 \) - Right side: \( 1 \cdot 1 = 1 \) - Conclusion: \( 2 \neq 1 \) (False) 2. **Equation 2: \( 2 \cdot 1 \cdot 0 = 2 + 1 + 0 \)** - Left side: \( 2 \cdot 1 \cdot 0 = 0 \) - Right side: \( 2 + 1 + 0 = 3 \) - Conclusion: \( 0 \neq 3 \) (False) 3. **Equation 3: \( 10 \cdot 1 = 0 + 10 \)** - Left side: \( 10 \cdot 1 = 10 \) - Right side: \( 0 + 10 = 10 \) - Conclusion: \( 10 = 10 \) (True) 4. **Equation 4: \( 4 + 1 = 4 \cdot 0 \)** - Left side: \( 4 + 1 = 5 \) - Right side: \( 4 \cdot 0 = 0 \) - Conclusion: \( 5 \neq 0 \) (False) After evaluating all the equations, we find that the only true equation is: **\( 10 \cdot 1 = 0 + 10 \)**.

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Bonus Knowledge

Let’s break down these equations to find out which one is true! In the first option, \(1 + 1 = 1 \cdot 1\), that evaluates to \(2 = 1\), which is false. For the second option, \(2 \cdot 1 \cdot 0 = 2 + 1 + 0\) gives \(0 = 3\), definitely false! The third one, \(10 \cdot 1 = 0 + 10\), becomes \(10 = 10\), so that’s true! Lastly, \(4 + 1 = 4 \cdot 0\) simplifies to \(5 = 0\), which is false. So, the winner of truth is \(10 \cdot 1 = 0 + 10\)! If you have fun with equations, it may feel like a puzzle! You can follow the process of evaluating each side to see if both sides match, which can often lead to surprising and engaging discoveries in math. Embrace your inner detective—it’s all about seeking those mathematical truths!

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