Problem preview
MF.NS.4 Standard MF-004-A03-V01

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

Distribute across a sum or difference

Problem

Use the distributive property to rewrite and simplify \(6(20~+~3)\). Show the distributed expression and the final value.

Big Picture

What this problem is really about

The outside factor applies to the entire sum, so distribution must create one product for each term inside the parentheses. We’ll multiply six by both addends, keep the plus sign between the partial products, and then combine them. Evaluating the original group first provides an independent equivalence check.

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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
Distribute across a sum or difference