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If we interchange the value of × and + ...

If we interchange the value of × and + then find the value of given equation? 24 ÷ 8 − 5 × 5 + 3 = ?

A

13

B

14

C

15

D

16

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \( 24 \div 8 - 5 \times 5 + 3 \) after interchanging the values of multiplication (×) and addition (+), we will follow these steps: ### Step 1: Write down the original equation The original equation is: \[ 24 \div 8 - 5 \times 5 + 3 \] ### Step 2: Interchange multiplication and addition In the original equation, we have: - \( 5 \times 5 \) (multiplication) - \( + 3 \) (addition) After interchanging, we will replace \( \times \) with \( + \) and \( + \) with \( \times \). The new equation becomes: \[ 24 \div 8 - 5 + 5 \times 3 \] ### Step 3: Solve the new equation Now we will solve the new equation step by step, following the order of operations (BODMAS/BIDMAS). 1. **Division**: \[ 24 \div 8 = 3 \] So, the equation now looks like: \[ 3 - 5 + 5 \times 3 \] 2. **Multiplication**: \[ 5 \times 3 = 15 \] Now, the equation is: \[ 3 - 5 + 15 \] 3. **Subtraction and Addition**: We will perform the operations from left to right: - First, \( 3 - 5 = -2 \) - Then, \( -2 + 15 = 13 \) ### Final Answer Thus, the value of the given equation after interchanging multiplication and addition is: \[ \boxed{13} \]
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