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Select the correct combination of mathem...

Select the correct combination of mathematical signs from the options given to replace # signs and get a balanced equation .
24 # 8 # 4 # 10 # 2

A

`- div + =`

B

`+ = + -`

C

`= xx - +`

D

`+ xx = +`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \( 24 \# 8 \# 4 \# 10 \# 2 \) and find the correct combination of mathematical signs, we will evaluate the options step by step. ### Step 1: Understand the Problem We need to replace the "#" signs with mathematical operations (addition, subtraction, multiplication, division) to make both sides of the equation equal. ### Step 2: Evaluate Each Option Let's evaluate the options provided one by one. #### Option A: \( 24 - 8 \div 4 + 10 = 2 \) 1. Calculate \( 8 \div 4 = 2 \). 2. Substitute back: \( 24 - 2 + 10 \). 3. Calculate \( 24 - 2 = 22 \). 4. Then, \( 22 + 10 = 32 \). 5. This does not equal 2. **(Incorrect)** #### Option B: \( 24 + 8 = 4 + 10 - 2 \) 1. Calculate \( 24 + 8 = 32 \). 2. Calculate \( 4 + 10 = 14 \). 3. Then, \( 14 - 2 = 12 \). 4. This does not equal 32. **(Incorrect)** #### Option C: \( 24 = 8 \times 4 - 10 + 2 \) 1. Calculate \( 8 \times 4 = 32 \). 2. Substitute back: \( 32 - 10 + 2 \). 3. Calculate \( 32 - 10 = 22 \). 4. Then, \( 22 + 2 = 24 \). 5. This equals 24. **(Correct)** #### Option D: (Assumed incorrect based on previous evaluations) Since we have already found a correct option (Option C), we can conclude that Option D is not needed to be evaluated. ### Conclusion The correct combination of mathematical signs is found in **Option C**: \[ 24 = 8 \times 4 - 10 + 2 \]
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