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The concepts of subtraction using both the take-away and missing addend approaches. Subtraction is the inverse operation of addition, and these methods help understand the process of finding the difference between two numbers. The take-away approach involves setting up a subtraction problem as a regular addition problem with a borrowing step, while the missing addend approach focuses on finding the missing addend to make the minuend equal to the subtrahend.
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3.1. ADDITION AND SUBTRACTION 35 Definition (Subtraction – Take-Away Approach). Let a and b be any whole numbers and A and B be sets such that a = n(A), b = n(B), and B ✓ A. Then a b = n(A B). “a b” is the di↵erence of a and b, “a” is the minuend, and “b” is the subtrahend. Subtraction – the missing addend approach Definition (Subtraction - Missing Addend Approach). Let a and b be any whole numbers. Then a b = c if and only if ( () ) a = b + c for some whole number c. This approach is useful for learning subtraction facts by relating them to addi- tion facts via four-fact families: