Problem preview
MF.RN.5 Challenge MF-011-A12-V01

Convert among fractions, decimals, and percents and choose the most useful form for a task.

Filter a mixed-form set for equivalence

Problem

A water bottle is \(0.6~\text{liter}\) full. Identify every value in the list that is exactly equivalent to \(0.6\).

Values: \(3/5\), \(6\%\), \(0.60\), \(60\%\), \(0.06\), \(6/10\), \(5/8\), \(0.600\), \(60/100\)

Big Picture

What this problem is really about

Exact equivalence means every retained value must equal zero point six, not merely look close or contain the same digit. We’ll convert each fraction and percent to a decimal, recognize that trailing zeros preserve value, and test every entry against the target. Recording all matches and all rejections avoids an incomplete or overinclusive set.

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Four variants of this problem type
Curriculum context
Standard
MF.RN.5
Category
Rational Numbers
Domain
Equivalent Forms
Objective
Convert among fractions, decimals, and percents and choose the most useful form for a task.
Problem type
Filter a mixed-form set for equivalence