Select the correct combination of mathematical signs that can sequentially replace the * signs and balance the given equation.
Correct Answer :
÷ − × +
Solution :
The correct answer is ÷ − × +.
We need to replace the four * signs in the equation below with the correct mathematical operators, in order, so that the equation balances to 51.
Substituting the operators ÷ − × + in sequence gives us:
Now we evaluate this step-by-step, following the standard BODMAS/PEMDAS rule — Division and Multiplication are performed before Addition and Subtraction.
Step 1: Perform Division first.
The expression becomes:
Step 2: Perform Multiplication next.
The expression now becomes:
Step 3: Perform Addition and Subtraction from left to right.
Result:
This confirms that the correct sequence of operators is ÷ − × +.
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