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MF.NS.4 Challenge MF-004-A13-V01

Use commutative, associative, and distributive structure to rewrite and simplify numerical expressions efficiently.

Select the best structural model

Problem

Use a nearby multiple of \(10\) to model \(19~\times~6\) with an expression, and evaluate it.

Neutral support showing the starting product 19 times 6 and asking which option uses a nearby multiple of 10 with a value-preserving adjustment. No anchor, adjustment, option, or result is supplied. Open full size
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What this problem is really about

Nineteen is one less than the friendly multiple twenty, so using twenty creates one extra group of six. We’ll calculate the easier twenty-group product and subtract that extra group. This compensation keeps the product equivalent while using a nearby multiple of ten.

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Four variants of this problem type
Curriculum context
Standard
MF.NS.4
Category
Number Sense
Domain
Numerical Expressions
Objective
Use commutative, associative, and distributive structure to rewrite and simplify numerical expressions efficiently.
Problem type
Select the best structural model