Select the correct combination of mathematical signs to replace the * signs and balance the given equation.
10 * 2 * 1 * 8 * 11 * 8
Correct Answer :
÷, −, ×, +, =
Solution :
The correct option is ÷, −, ×, +, =.
We are given the following equation with missing mathematical signs:
10 * 2 * 1 * 8 * 11 * 8
To balance the equation, we replace the asterisk (*) symbols sequentially with the operators from the correct combination ÷, −, ×, +, =:
10 ÷ 2 − 1 × 8 + 11 = 8
Now, let me evaluate the Left Hand Side (LHS) of the equation step-by-step using the standard BODMAS rule (Brackets, Orders, Division, Multiplication, Addition, Subtraction):
Step 1: Division
First, divide 10 by 2:
10 ÷ 2 = 5
Replacing 10 ÷ 2 with 5, the expression becomes:
5 − 1 × 8 + 11
Step 2: Multiplication
Next, multiply 1 by 8:
1 × 8 = 8
Replacing 1 × 8 with 8, the expression becomes:
5 − 8 + 11
Step 3: Addition and Subtraction
Now perform addition and subtraction from left to right:
5 − 8 = -3
-3 + 11 = 8
The Left Hand Side (LHS) evaluates to 8, which is equal to the Right Hand Side (RHS):
LHS = RHS = 8
Therefore, the combination ÷, −, ×, +, = correctly balances the equation.
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