Google Classroom
GeoGebraClasse GeoGebra

Discovering Rules in Adding Integers

Use this applet (adding integers using number line) to do the following exploration below.

Move the sliders to add the given integers.

Exploration 1: For numbers 1 & 2, perform the addition of Integers using the number line

1) 3+(-3)=

Choose the best way to describe the integers we are adding in nos. 1 &2.

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Observing the sums in nos. 1 & 2, what do you think is the sum of -539+539?

Try to explore more the sum opposite numbers: (a) 1+(-1) (b) -4+4 (c) -2+2

Tell whether the statement below is true or false. The sum of any 2 opposite numbers is always 0.

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There are two possible operations to perform in with the absolute values of the integers being added.

1) Add or 2) Subtract

Exploration 2: Adding different-signed integers

b) 5+(-3)=

How do you describe the direction of the integers we are adding in items a& b?

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Exploration 2: Adding Integers with same signs.

Describe the sign of the sum for nos. 1 & 2.

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Exploration 3: Adding integers with the same sign.

a) 5+4 b) -3+(-2) c) -1+(-5)

What do you think happen when adding integers of the same sign.

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