Find the G.C.D of 1.08, 0.36, and 0.9________?
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Answer: C. 0.18
Explanation
Decimal numbers are converted to integers by multiplying by a common power of ten. Finding the greatest common divisor of 108, 36, and 90 yields 18. Moving the decimal back two places gives the correct GCD of 0.18. Greatest common divisor is the largest positive integer that divides each of the numbers. Decimal scaling preserves relative divisibility properties for integer GCD algorithms. Given numbers 1.08, 0.36, and 0.9 share 0.18 as their largest common measure.
Arithmetic involving decimals requires careful alignment of place values. Engineering measurements often use greatest common measure to find standard increments. Number theory algorithms extend naturally to rational numbers and decimals. Choosing 0.03 is a common factor but fails to be the greatest possible divisor. Choosing 0.9 divides some numbers but does not evenly divide 0.36 or 1.08. Choosing 0.108 is not a common divisor of all three given decimal numbers.
- Subject
- Mathematics
- Category
- Mathematics
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- —
- Difficulty
- medium
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