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If the mathematical operators '+' and 'x...

If the mathematical operators '+' and `'xx'` are interchanged what will be the value of the equation `9div5+10-23xx2`
A. 3
B. 2
C. `-3`
D `-5`

A

B

B

C

C

A

D

D

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation `9 div 5 + 10 - 23 xx 2` with the operators '+' and 'xx' interchanged, we first need to understand what the new operators will represent: - The '+' operator will become 'xx' (multiplication). - The 'xx' operator will become '+' (addition). Thus, the equation `9 div 5 + 10 - 23 xx 2` will be transformed into: `9 div 5 xx 10 - 23 + 2` Now, let's solve this step by step: ### Step 1: Rewrite the equation The equation becomes: \[ 9 \div 5 \times 10 - 23 + 2 \] ### Step 2: Apply the BODMAS/BIDMAS rule According to the BODMAS/BIDMAS rule, we perform operations in the following order: Brackets, Orders (i.e., powers and roots, etc.), Division and Multiplication (from left to right), Addition and Subtraction (from left to right). ### Step 3: Perform the division First, we perform the division: \[ 9 \div 5 = \frac{9}{5} \] So the equation now looks like: \[ \frac{9}{5} \times 10 - 23 + 2 \] ### Step 4: Perform the multiplication Next, we perform the multiplication: \[ \frac{9}{5} \times 10 = \frac{90}{5} = 18 \] Now the equation is: \[ 18 - 23 + 2 \] ### Step 5: Perform the subtraction and addition Now we perform the subtraction and addition from left to right: 1. First, subtract: \[ 18 - 23 = -5 \] 2. Then, add: \[ -5 + 2 = -3 \] ### Final Result Thus, the value of the expression is: \[ -3 \] ### Conclusion The correct answer is C. `-3`.
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