Real Numbers: Activity 2 - Let's examine the Patterns! ADDITION of Negative Numbers

Enter formula to find the value of "a + b".
From the numbers generated, write down the 2 rules of Addition of Integers.

Vocabulary List
• Numerical Part
• Sign
• Positive
• Negative
• Difference
• Sum
• Same
• Different

1. The rule is that when the addition involves both negative and positive numbers, the numerical part of positive number and the negative will cancel out each other. When the addition involves of numbers of the same sign, simply add the numerical part together.

2. when we add negative numbers, the answers should come out in negative.
when adding negative numbers it is like subtraction

3. When 2 negative numbers are added u get another negative numbers for example -1+-1 would be -2 and so on. If u add 5+(-1) u will get 4 but if u take 1+(-4) u will get -3 so when u add one positive number with a negative number u will get either negative or positve

4. Rule 1: When you add two numbers of the same sign add them together and put the sign they have in front of it to find the answer. (If it is positive, there is no need for the positive sign).

Rule 2: When you add to numbers of different signs, deduct the smaller number from the larger number, and then put the sign of the larger number in front. (If both numbers are the same, just put zero without any sign, and if it is positive, do the same as mentioned in Rule 1).

5. e.g.
-5+-1
=(-)5+1
=-6

6. Sorry, these are the examples:
Example:a) (-5)+5=0
(-14)+13=-1
b) (-5)+(-5)=(-10)
5+15=20

7. 1. If two negative numbers are added together,the sign of the answer would be negative and the numerical part of the answer is the sum of the two numerical parts.

2.If the sign of the numbers is the opposite and the numbers are added, the positive numerical part will be subtracted by the negative numerical part. If the positive numerical part is more than the negative numerical part, the sign of the answer will be positive. While if the negative numerical part is more than the positive numerical part,the sign of the answer is negative.

BTWFYL,I am Owen.

8. 1.When a Negative and Positive number which has the same numerical part are being added together you get Zero.(Zero Pair)
2.When a Negative number is added with another Negative number you will get a negative number but when a negative number is substracted by a negative number you will get a positive number.

9. BTWFYL????
==

10. 1. If two negative numbers are added together,the sign of the answer would be negative and the numerical part of the answer is the sum of the two numerical parts.

2.If the sign of the numbers is the opposite and the numbers are added, the positive numerical part will be subtracted by the negative numerical part. If the positive numerical part is more than the negative numerical part, the sign of the answer will be positive. While if the negative numerical part is more than the positive numerical part,the sign of the answer is negative.

BTWFYI,I am Owen.

11. When you add 2 positive numerical, the sign is ignored and the two numbers are ignored. Eg 1 + 1 =2
When you add 1 negative to 1 positive numerical we can list them out and cancel the pairs which are a zero pair. Eg. -5+9 = 1+1+1+1+1+1+1+1+1-1-1-1-1-1
= 1+1+1+1
= 4

12. When you add two negative numbers, it is the same as addition however its sign will be negative. The sum of the two numerical parts will be smaller than both of the numbers. Eg. (-7)-(-7)=-14
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When you add a positive and one negative number, the sum of both numbers can either be a positive or a negative number, the numerical can either be greater then zero or smaller then zero.

Eg:6+(-7)= -1
(-6)+7= 1

13. When both numbers are negative, the numerical part of the negative number will add up when adding the 2 numbers and they will still be negative.
When you add 1 positive number and 1 negative number,you can get a positive number if the positive number is bigger than the numerical part of the negative number e.g. 50+-10=40 but if the numerical part of the negative number is bigger than the positive number, you will get a negative number e.g. -50+10=-40

14. 1. If you add a number with a negative sign with a larger numerical part than a number with a lower numerical part with a positive sign, the sum will have a negative sign and the numerical part will be the difference between the two numbers. (Without the signs)

E.g. -5+2=-3

2. When we add 2 numbers with negative signs, the sum will be negative with a numerical part that is equal to the sum of the 2 numbers when they do not have the negative signs.

E.g. -2 + -2 = -4

15. When you add two negative numbers,you will get a negative number
Eg.-2+-3=-5

When you add 1 positive number and 1 negative number,you can get either a positive or negative number
Eg.1 2+-1=1
Eg.2 1+-2=-1

16. When we add a positive number to a negative number , we will be subtracting the negative number from the positive number .
Eg : 5+(-4)=1
When you add two negative numbers , it will be just simply adding the two numbers and keep the negative sign in front of the number .
Eg: -5+(-4)=-9

17. Chan Shawn Kit2/10/2011 11:34:00 AM

when you add a negative number to a negative number, you will get a negative number

eg. -9-(-8)=-17

The number will be higher and further away from 0.

When you add a positive number to a negative number, the number will get smaller and close to 0

eg.-9+7=-2

18. 1. When you add 2 number of the same sign,the answer will be the numerical part of the 2 numbers added together and with the same sign.
Eg: -1+-1=-2(negative number)
1+1=2 (positive number)
2. When you add a positive number(with a larger numerical part) and a negative number(with a small numerical part), the answer will be the difference of the 2 numerical parts.(without the signs)
Eg: 5+ -5=0

19. (1) Eg: -1 + -1 = - (1+1)
=-2

(2) Eg: -1+2= (2-1)
= 1

(2) Eg: -2+1= -(2-1)
= -1

BTWFYI once agn, I am Owen.

20. 1.When 2 numbers with the same sign is added together, their sign stays the same while the number is the addition of the 2 numbers.
2.When 2 numbers of different sign is added together, deduct the smaller number from the bigger number and use the sign of the bigger number infront.

21. Rule 1) When adding zero pair, where positive numbers and negative numbers are the same, such as -5+5, the answer will always be 0.
Rule 2) When we add a negative number to a positive number, the answer would be cancelling out the plus sign and do the rest of it.

22. 1)When both the negative and positive numbers are the same,it will always add to a zero pair. eg.-5+5=0
2)When adding two negative numbers,the answer would always be a negative number. eg.-5+-4=-9
-Ruoyu

23. example1:-10+(-1)=-11
example2:10+(-5)=5

24. The sum of a negative number and a positive number is the negative number subtracted from the positive number.
If a positive number is added to another positive number, the answer is a positive number.
Liew Wei Siew

25. Rule 1:The sum of two numbers that has the same numerical part but different sign, one negative sign and one positive sign, you get a zero.
Example: 5 + -5 =0

Rule 2:Two numbers that both have negative signs, added together will get a number that has a positive sign.
Example:-1+(-1)=2

-Nina

26. Rule 1 : When there are two numbers which have the same signs , we always add them together.

Example: -5-3= -8 ( correct)
-5-3=-2 ( wrong)

Rule 2 : When there are two numbers with different signs but share the same numerical value, you will get a zero pair if you add them together.The derived answer will neither be a positive nor a negative.

Example : +6-6=0(correct)

27. When a positive integer and a negative integer is added together, the sum would be the numerical part of the positive integer minus the numerical part of the negative integer.
ex. 5+-1= 5-1
= 4
When a negative integer and another negative integer is added together, the sum would be directly the numerical part of the first integer plus the numerical part of the second integer. The sign would remain the same.
ex.-8+-5= -13

28. When a negative integer is added to another negative integer, we would definitely get a negative integer.
Eg. (-11)+(-11)=-22

When we add a positive integer to a negative integer, we can get either a positive or a negative integer.
Eg. 12+(-11)=1
11+(-12)=-1

29. When you add two negative numbers, the numerical values add up while the sign still remains negative.
Eg. (-5)+(-5)=(-10)
Eg. (-54)+(-46)=(-100)
When you add one negative and one positive number, if the negative number is bigger than the positive number, the negative numerical value subtracts the positive numerical value and the sign becomes negative. If the positive number is bigger than the negative number, the positive numerical value subtracts the negative numerical value and the sign remains positive.
Eg. (-10)+9=[-(10-9)]
=(-1)
Eg. 20+(-5)=(20+5)
=25

30. @Yi Chieh

Does that apply to all sets of positive and negative numbers?
Give examples to illustrate the different cases.

31. @Ishani

Agree with the 1st statement.