Problem preview
MF.SN.4 Challenge MF-026-A12-V04

Interpret absolute value as distance and use it to compare quantities and errors.

Screen a mixed set by absolute-value conditions

Problem

Identify exactly \(\text{all}~\text{representations}\) that describe the complete set of numbers \(4.5~\text{units}\) from \(0\). Exclude representations that show only \(\text{one}~\text{of}~\text{the}~\text{two}~\text{numbers}\). Report the complete set of labels.

Representations:
A. \(-4.5\)
B. \(|x|~=~4.5\)
C. \(x~=~4.5\) only
D. the points \(-4.5\) and \(4.5\) on a number line
E. \(-9~\div~2\)
F. the distance between \(x\) and \(0\) is less than \(4.5\)

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Four variants of this problem type
Curriculum context
Standard
MF.SN.4
Category
Signed Numbers
Domain
Absolute Value
Objective
Interpret absolute value as distance and use it to compare quantities and errors.
Problem type
Screen a mixed set by absolute-value conditions