Select the correct combination of mathematical signs to replace each ‘‘*’’ so that the equation becomes true. Fill the three positions in order for: 6 * 4 * 12 * 12

Difficulty: Easy

Correct Answer: x, -, =

Explanation:


Introduction / Context:
This is a sign-substitution puzzle: each asterisk must be replaced by a mathematical sign (in the sequence suggested by an option) so that the resulting statement is a true equality.


Given Data / Assumptions:

  • Template: 6 * 4 * 12 * 12
  • Options provide an ordered triple of signs to place at the three starred positions.
  • Standard operator meanings and standard order of operations apply.


Concept / Approach:
Try each option by substituting signs left to right and check whether the resulting statement evaluates to a true equation.


Step-by-Step Solution:
Option D → 6 x 4 - 12 = 12Compute: 6 × 4 = 24; 24 − 12 = 12; equality holds.Other options either do not yield an equality or give false statements (e.g., 6 ÷ 4 − 12 = 12 is false).


Verification / Alternative check:
Re-evaluating with precedence confirms only Option D balances the equation.


Why Other Options Are Wrong:
They evaluate to unequal LHS/RHS values (e.g., Option A gives −10.5 = 12, false).


Common Pitfalls:
Forgetting that one of the inserted signs can be ‘‘=’’ and must appear in the correct third position.


Final Answer:
x, -, = produces a true statement: 6 × 4 − 12 = 12.

Discussion & Comments

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