Problem preview
MF.RN.4 Challenge MF-010-A13-V01

Compare and order rational numbers written as fractions, decimals, and percents.

Choose the right mixed-form comparison strategy

Problem

Determine the most effective comparison strategy and order \(7/8\), \(0.86\), and \(85\%\) from least to greatest.

Big Picture

What this problem is really about

A useful common form should preserve exact values and make all three numbers easy to compare. We’ll examine which representation handles the fraction, decimal, and percent exactly and efficiently, then rewrite all three in that form and align their place values. After ordering them, we’ll restore the original notation without changing their positions.

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Four variants of this problem type
Curriculum context
Standard
MF.RN.4
Category
Rational Numbers
Domain
Fractions
Objective
Compare and order rational numbers written as fractions, decimals, and percents.
Problem type
Choose the right mixed-form comparison strategy