Select the correct combination of mathematical signs to sequentially replace the @ signs and to balance the given equation. 72 @ 9 @3 @ 6 @ 6 @ 6 @ 6
The Correct Combination: $\div, \times, +, =, \times, -$
When we replace the $\text{@}$ signs sequentially with these symbols, the equation becomes:
$$72 \div 9 \times 3 + 6 = 6 \times 6 - 6$$
Now, we solve both the Left-Hand Side (LHS) and the Right-Hand Side (RHS) using the BODMAS rule:
1. Solving Left-Hand Side (LHS):
$$\text{LHS} = 72 \div 9 \times 3 + 6$$
Step 1 (Division): Perform $72 \div 9 = 8$
$$\text{LHS} = 8 \times 3 + 6$$
Step 2 (Multiplication): Perform $8 \times 3 = 24$
$$\text{LHS} = 24 + 6$$
Step 3 (Addition): Perform $24 + 6 = 30$
$$\mathbf{\text{LHS} = 30}$$
2. Solving Right-Hand Side (RHS):
$$\text{RHS} = 6 \times 6 - 6$$
Step 1 (Multiplication): Perform $6 \times 6 = 36$
$$\text{RHS} = 36 - 6$$
Step 2 (Subtraction): Perform $36 - 6 = 30$
$$\mathbf{\text{RHS} = 30}$$
Conclusion
Since $\text{LHS} = \text{RHS}$ ($30 = 30$), the question is mathematically consistent and correct.
The correct sequence of signs to balance the equation is $\div, \times, +, =, \times, -$.
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The value of 96 - 4 of (18 - 13) + 4 × 7 is:
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What is the value of
5 ÷ 10 of 10 × 4 + 4 ÷ 4 of 4 × 10 + (10 - 4) ÷ 16 × 4?
