Approximation and quick calculation: Evaluate 22020 ÷ 0.011 and choose the closest option.

Difficulty: Easy

Correct Answer: 2000000

Explanation:


Introduction / Context:
Dividing by a small decimal increases the value substantially. Recognize that 0.011 equals 11/1000; thus, the division turns into multiplication by 1000/11, producing a number near two million.


Given Data / Assumptions:
Compute 22020 / 0.011 and select the nearest option.


Concept / Approach:
0.011 = 11/1000. So 22020 / 0.011 = 22020 * (1000/11) = (22020/11) * 1000. Now compute 22020 / 11 exactly, then scale by 1000.


Step-by-Step Solution:

22020 / 11 = 2001 remainder 9 (i.e., 2001.818…) Value ≈ 2001.818… * 1000 ≈ 2,001,818.18 Nearest listed option: 2,000,000


Verification / Alternative check:
Check scales: Dividing by 0.01 would give 2,202,000; since 0.011 is slightly larger, the result should be slightly less than 2.202 million. 2.002 million is consistent with that expectation, and the closest option is 2,000,000.


Why Other Options Are Wrong:
20020 and 200002 are far too small; 200200 is still ~10 times smaller than the true magnitude.


Common Pitfalls:
Treating 0.011 as 0.11 or 0.001, which would shift the result by factors of 10 or 1000 and completely change the magnitude.


Final Answer:
2000000

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