Insert the correct sequence of operations between 7, 4, 8, 2 to make 24: 7 ? 4 ? 8 ? 2 = 24 (standard precedence applies)

Introduction / Context:We must choose a specific ordered trio of operations to place between 7, 4, 8, 2 so that the resulting expression equals 24. Standard operator precedence (× and ÷ before + and −) must be respected.

Given Data / Assumptions:

• Numbers in order: 7, 4, 8, 2.
• We pick one of the provided ordered triples of operators and apply normal precedence.

Concept / Approach:Try options mentally while honoring precedence. Multiplication early tends to raise the value, and a final subtraction after a division can fine-tune to 24.

Step-by-Step Solution:

Verification / Alternative check:Test other options quickly:

• 7 − 4 × 8 × 2 = 7 − 64 = −57 ✘
• 7 − 4 × 8 ÷ 2 = 7 − 16 = −9 ✘
• 7 × 4 ÷ 8 − 2 = 3.5 − 2 = 1.5 ✘

Why Other Options Are Wrong:They either ignore precedence or yield values far from 24 when computed correctly with precedence.

Common Pitfalls:Evaluating strictly left-to-right or misordering ×/÷ versus +/−, which changes the outcome.

Final Answer:x, - and ÷ (i.e., 7 × 4 − 8 ÷ 2 = 24).