Fill the symbols “*” so the equation balances. 8 * 8 * 1 * 7 = 8

Difficulty: Easy

Correct Answer: ÷ x +

Explanation:


Introduction / Context:
Choose a fixed sequence of three operators to make the given equality true. Standard precedence (× and ÷ before + and −) applies on the left side before comparing to the right side.


Given Data / Assumptions:

  • Template: 8 {s1} 8 {s2} 1 {s3} 7 = 8


Concept / Approach:
Because the target is small (8), aim to reduce early by division and avoid inflating too much with multiplication until after division.


Step-by-Step Solution:

Option C yields: 8 ÷ 8 × 1 + 7.Compute: 8 ÷ 8 = 1; 1 × 1 = 1; 1 + 7 = 8.Thus LHS = 8, matching RHS = 8.


Verification / Alternative check:
Test other options quickly and you will get values not equal to 8 (e.g., 8 + 8 × 7 = 64; 8 × 8 ÷ 1 + 7 = 71).


Why Other Options Are Wrong:
They over- or under-shoot due to the order of operations.


Common Pitfalls:

  • Ignoring that ×/÷ happen before + on the left-hand side.


Final Answer:
÷ x +

Discussion & Comments

No comments yet. Be the first to comment!
Join Discussion