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Convert 84.4° into degrees and minutes.

Answer and explanation

Correct answer: 84° 24′

To convert decimal degrees into degrees and minutes, separate the whole-number and fractional parts. The whole-number part of 84.4° is 84°, while the fractional part is 0.4°. Because 1° = 60′, multiply the fractional part by 60: 0.4 × 60′ = 24′. Therefore, 84.4° = 84° 24′, making option B correct. Option A results from writing the decimal digits as minutes without conversion. Option C incorrectly treats 0.4 as 40 minutes, and option D adds an unnecessary degree. Since the converted minute value is 24′, which is less than 60′, no carrying into the degree part is needed.

Related tags

Decimal-DegreesDms-ConversionDegree-Minute-ConversionAnglesTrigonometric FunctionsMathematicsClass 12 Mcq

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