Compare, order, and locate signed integers and rational numbers on a number line.
Choose a smart strategy for signed rational order
Problem
Consider these methods for comparing \(-3/4\) and \(-0.6\): A, convert the fraction to a decimal; B, compare digits; C, ignore negatives; D, convert but reverse negative order. Choose the appropriate method, then give the comparison.
Big Picture
What this problem is really about
A reliable comparison begins by expressing both rational numbers in the same form. Convert the fraction to a decimal while preserving its negative sign, then compare the two locations relative to zero. Among negative values, the one closer to zero is greater, so that positional rule prevents the magnitude comparison from being reversed.
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