# Discovering Rules in Adding Integers

Topic:
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)=

2) -5+5=

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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• B
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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

a) -5+3=

b) 5+(-3)=

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

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• 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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