Which expression equals 0.867 in expanded form?

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Prepare for the Praxis Middle School Mathematics Exam with quizzes. Study with flashcards and multiple choice questions. Each question provides hints and detailed explanations. Ensure success on your test!

Multiple Choice

Which expression equals 0.867 in expanded form?

Explanation:
Understanding the place-value decomposition of decimals: each digit after the decimal represents a fraction whose denominator is a power of ten, based on its position. For 0.867, the 8 is in the tenths place, so it contributes 8/10. The 6 is in the hundredths place, contributing 6/100. The 7 is in the thousandths place, contributing 7/1000. Adding them gives 8/10 + 6/100 + 7/1000 = 0.867. This shows each digit’s value clearly by its place. The other forms either misplace a digit’s place value (for example, using 8/100 for the first term), lump parts together in a way that hides the separate place-value contributions (such as 0.86 + 0.007), or use a different breakdown that isn’t the standard place-value representation (though they may still sum to the same number). The expression that matches the decimal exactly in expanded form is 8/10 + 6/100 + 7/1000.

Understanding the place-value decomposition of decimals: each digit after the decimal represents a fraction whose denominator is a power of ten, based on its position.

For 0.867, the 8 is in the tenths place, so it contributes 8/10. The 6 is in the hundredths place, contributing 6/100. The 7 is in the thousandths place, contributing 7/1000. Adding them gives 8/10 + 6/100 + 7/1000 = 0.867. This shows each digit’s value clearly by its place.

The other forms either misplace a digit’s place value (for example, using 8/100 for the first term), lump parts together in a way that hides the separate place-value contributions (such as 0.86 + 0.007), or use a different breakdown that isn’t the standard place-value representation (though they may still sum to the same number). The expression that matches the decimal exactly in expanded form is 8/10 + 6/100 + 7/1000.

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