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Subtraction: Take-Away and Missing Addend Approaches, Lecture notes of Mathematics

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.

What you will learn

  • What is the difference between the take-away and missing addend approaches in subtraction?
  • Can you provide an example of using each approach to solve a subtraction problem?
  • How can you use the four-fact families to learn subtraction facts?

Typology: Lecture notes

2021/2022

Uploaded on 08/05/2022

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3.1. ADDITION AND SUBTRACTION 35
Definition (Subtraction Take-Away Approach).
Let aand bbe any whole numbers and Aand Bbe sets such that a=n(A),
b=n(B), and BA. Then
ab=n(AB).
ab is the dierence of aand b, a is the minuend, and b is the subtrahend.
Subtraction the missing addend approach
Definition (Subtraction - Missing Addend Approach).
Let aand bbe any whole numbers. Then ab=cif and only if ( () )
a=b+cfor some whole number c.
This approach is useful for learning subtraction facts by relating them to addi-
tion facts via four-fact families:

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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). “ab” 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: