Discovering Rules in Adding Integers
- Author:
- TeacherBryan, Guillermo Bautista
- 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.
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.
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?
Exploration 2: Adding Integers with same signs.
Describe the sign of the sum for nos. 1 & 2.
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.