Problem 2 · 2024 Math Kangaroo
Medium
Arithmetic & Operations
order-of-operationsgrouping
\(\dfrac{2 \times 0.24}{20 \times 2.4} = \;?\)
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Answer: A — 0.01
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Hint 1 of 2
Compare the numerator and denominator factor by factor.
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Hint 2 of 2
20 is 10 times 2, and 2.4 is 10 times 0.24.
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Approach: cancel matching factors
- Write it as (2 x 0.24) / (20 x 2.4).
- Since 20 = 10 x 2 and 2.4 = 10 x 0.24, the denominator is 100 times the numerator.
- So the value is 1/100 = 0.01.
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