Adding Integers Using the Number Line
Math 6/7 NOTES (1.2)Name:_______________________________Modeling Addition & Subtraction of IntegersAdding Integers Using the Number Line When we ADD integers we move to the RIGHT on the number line. But pay close attention to the sign of the second addend!!!Example:–3 + 2 – 3 + – 2 Starting Move 2 stepsStarting Should Move go backward! 2point to the right to the right steps 37338001905 Adding Integers Using the Counter Method Follow the example to fill in the table.ExpressionCounters ModelNumber Line ModelAnswer5 + (–4) + + + + + _ _ _ _Cancel all “zero pairs”0 1 2 3 4 5–4 + 3 -5 -4 -3 -2 -1 0 1–4 + 4-5 -4 -3 -2 -1 0 1 _ _ _ _ + + + + +-5 -4 -3 -2 -1 0 1–4 + (–4)-9 -8 -7 -6 -5 -4 -3Subtracting Integers Using the Number Line When we SUBTRACT integers we move to the LEFT on the number line. But pay close attention to the sign of the second addend!!!Example:-3 – 2 -3 – (- 2) Starting Move 2 steps Starting Should move BUT, minus sign point to the Left point to the left reverses direction3667125196852857571755 to the right Subtracting Integers Using the Counter Method Follow the example to fill in the table.ExpressionCounters ModelNumber Line Model-3 – (–1)Answer: -2 – – –Subtract means “remove”-4 -3 -2 -1 04 – (–2)Answer: 6 + + + + + + _ _Add 2 “zero pairs” to remove 2 negative counters 0 1 2 3 4 5 6–2 – 5-7 -6 -5 -4 -3 -2 -1–4 – (–6)-4 -3 -2 -1 0 1 2 ................
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