### Chap 2: Real Numbers - Investigative Activity (I) Addition of Numbers

In this investigative activity, you are going to add integers of different combinations:
• positive and negative integers
• negative and negative integers
Observe patterns amongst the answers generated.
Draw up a 'rule' that would guide us when we add integers (especially when it involves negative integers).

Vocabulary List: Numerical Part. Sign. Positive. Negative. Difference. Sum. Same.

You are going to work in pairs or threes.

1. One of you will download the file "Chapter 2 Investigative Activity - Addition and Product.numbers" (from GoogleSite: 01 Mathematics). Another will display the blog post so that you could enter your discussion into the Comments.

2. Refer to the worksheet "Addition of Numbers":
• (a) Enter formula to find the value of "a + b" of the first set of integers (i.e. 10 + (-1)). The spreadsheet will compute the value automatically for you.
• (b) Copy the formula to the rest of the cells below; also to the next column.

3. Discuss the patterns you observe between the addition of integers:
• (a) What happens when a positive integer + a negative integer (given that the positive number has a greater numerical value)?
• (b) What happens when a positive integer + a negative integer (given that the positive number has a smaller numerical value)?
• (c) What happens when a negative integer + a negative integer? How similar or different it is when compared the sum of two positive numbers?
4. Pen the observations down in the Comments. Suggest a rule that would help one when adding two integers.

5. Sign off the Comments with the name(s) of both of you.

1. a) positive
b) negative
c) negative

1. tian kai, paul, jordan

2. (a)the answer would be a positive number
(b)the answer would be a negative number
(c)the answer would be a negative number it would be similar as it would become a bigger number

Farruq Daniel and cassandra

3. (a)the number is positive

(b)the number is negative

(c)the number is negative.It is similar in a way that the negative sum result has a negative sign in it.

Samuel and Bryan

4. (a) It is still a positive number.
(b) It becomes negative number.
(c) It is a negative number.
Steffany Yen, Choon Wee

5. 3a) The positive integer deducts the negative integer which becomes a positive integer

3b)The negative integer deducts the positive integer

3c)The two negative integer add each other

Aneesha, Alex and Micheal
Group 4

6. a) The final answer would be a positive number.
b) The final answer would be a negative number
c) The final answer would be a positive number.

Group 4 (Brandon,Bennett and Aloysius)

7. a)it will be a positive number
b)the number is negative
c)it is a negative
jonah,jeff gp 1

8. (a)the calculated answer will always be a positive number.
(b)the calculated answer will always be a negative number.
(c)It is different as when negative numbers are added,they move towards the number 0,but when you add 2positive integers, it moves further away from 0.
If there is a minus on the equation always subtract.
Names: Alex
Group 4

9. 3a. The result would still be positive.
3b. The result would be negative.
3c. The result would be negative. It is similar as when they are added together, regardless of negative or positive, they move away from the number 0 on the Number Line.
Names: Zhong Han, Evangeline, Jerrold.