Problem preview
MF.SN.1 Standard MF-023-A09-V01

Compare, order, and locate signed integers and rational numbers on a number line.

Judge a signed rational placement on a number line

Problem

Point \(P\) is halfway between \(-2\) and \(-1\). A student claims \(P~=~-1.5\). Is the claim valid? If not, what is the corrected value?

Big Picture

What this problem is really about

Judge the claim by testing the defining feature of halfway, rather than by appearance alone. Average the two negative endpoints, then verify that the proposed value lies between them and has the same distance to each. Those checks determine both whether the claim is valid and whether its sign has been preserved.

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Four variants of this problem type
Curriculum context
Standard
MF.SN.1
Category
Signed Numbers
Domain
Number Line and Order
Objective
Compare, order, and locate signed integers and rational numbers on a number line.
Problem type
Judge a signed rational placement on a number line