Difficulty: Easy
Correct Answer: 116
Explanation:
Introduction / Context: This is an order-of-operations question focused on decimal division. The key is to evaluate left to right for division operations and handle the decimal 0.75 correctly.
Given Data / Assumptions:
Concept / Approach: First divide 783 by 9, then divide the result by 0.75. Recall that dividing by 0.75 equals multiplying by 4/3, but we will proceed stepwise to avoid mistakes.
Step-by-Step Solution:
Step 1: 783 ÷ 9 = 87Step 2: 87 ÷ 0.75 = 87 / 0.75Since 0.75 = 3/4, 87 / 0.75 = 87 / (3/4) = 87 * (4/3) = 29 * 4 = 116Verification / Alternative check: Using decimal arithmetic: 0.75 = 75/100; 87 / 0.75 = 87 / 0.75 = 116 confirms the same result.
Why Other Options Are Wrong: 130, 124, and 118 emerge from rounding errors or reversing operations (for example, multiplying by 0.75 instead of dividing by it).
Common Pitfalls: Not following left-to-right division; treating 0.75 as 0.57 or 0.7; forgetting that dividing by a number less than 1 increases the result.
Final Answer: 116
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