Adding Integers
Catching Integers
Absolute Value
Absolute Value
The number of units an integer is from zero on the number line.
Use the applet below to do the following exploration.
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.
Additive Inverse
A pair of integers who's sum is zero; they are opposites or inverses of each other.
Observing the sums in nos. 1 & 2, what do you think is the sum of -539+539?
More exploration on 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.
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?
Describe the sign of the sum of questions a and b.
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.
Adding Integers Using Integer Chips
Let's show the addition problem: 2 + 4
Let's show the addition problem: -4 + (-3)
Let's show the addition problem: 5 + (-3)
Use the number line above to help you solve the addition problems below. Explain your reasoning.
1. 7 + (-7)
2. -5 + 5
3. 10 + (-4)
4. -5 + 9
5. -7 + 2
6. 3 + (-8)
Use the counters above to help you solve the addition problems below. Explain your reasoning.
1. 7 + (-7)
2. -5 + 5
3. 10 + (-4)
4. -5 + 9
5. -7 + 2
6. 3 + (-8)
ET. Use one of the methods above to solve the addition problems below. Explain your reasoning.
1. 4 + (-6)
2. -8 + 8
3 3 + 9