Evaluate the expression 18800 ÷ 470 ÷ 20, where division is performed strictly from left to right. What is the final value?

Introduction:
This problem tests correct handling of chained division. A common mistake is to treat a ÷ b ÷ c as a ÷ (b ÷ c), but standard order of operations says multiplication and division are performed from left to right when no parentheses are present. So we evaluate 18800 ÷ 470 first, then divide the result by 20. Recognizing the left-to-right rule is the main point.

Given Data / Assumptions:

• Expression: 18800 ÷ 470 ÷ 20
• Division is performed from left to right (as stated)
• No parentheses, so we do sequential division

Concept / Approach:
Compute (18800 ÷ 470) first. Then take that quotient and divide by 20. If possible, simplify using exact division: 470 goes into 18800 evenly because 47*4 = 188, so 470*40 = 18800. This makes the calculation fast and exact.

Step-by-Step Solution:
Evaluate left to right: (18800 ÷ 470) ÷ 20 18800 ÷ 470 = 40 (because 470 * 40 = 18800) Now divide by 20: 40 ÷ 20 = 2

Verification / Alternative check:
You can rewrite the expression as 18800 / (470 * 20) only if you keep left-to-right logic: (18800/470)/20 = 18800/(470*20). That equals 18800/9400 = 2, confirming the same result.

Why Other Options Are Wrong:
1 would occur if the last step were mistakenly 40 ÷ 40. 3 or 4 are typical guesses from rounding 18800/470 incorrectly. 0.5 could come from mistakenly doing 18800 ÷ (470 ÷ 20), which is wrong because it changes the grouping.

Common Pitfalls:
Grouping division incorrectly, doing 470 ÷ 20 first, or confusing left-to-right rule for division/multiplication.

Final Answer:
The value of the expression is 2.