Problem preview

MF.NS.4 Standard MF-004-A11-V04

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

Translate a shortcut into symbols

Problem

Translate this strategy into symbols: “To multiply \(39\) by \(6\), think of \(40\) groups of \(6\) and then subtract \(1\) group of \(6\).” Start with \(39~\times~6\). Write the matching symbolic rewrite, and then find the product.

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39 × 6 = 40 × 6 - 1 × 6 = 239

39 × 6 = (40 + 1) × 6 = 246

39 × 6 = (40 - 1) × 6 = 40 × 6 - 1 × 6 = 234

39 × 6 = (40 - 1) × 6 = 40 × 6 - 1 = 239

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Curriculum context

Course: Math Foundations
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: Translate a shortcut into symbols