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distributive property
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property involving two mathematical operations
The distributive property is a basic rule showing how multiplication and addition work together: when you multiply a number by a sum, you get the same result as multiplying that number by each part of the sum separately and then adding those results. This property matters because it's a fundamental tool that makes mathematical calculations simpler and helps build the foundation for more advanced math.
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In mathematics, the distributive property of binary operations is a generalization of the distributive law, which asserts that the equality
x ⋅ ( y + z ) = x ⋅ y + x ⋅ z