Opetations with Integers - 1
Connect to previous article "Integers - The Basic Building Blocks to Math" to learn about the basics about integers.
After reading this article your confidence to handle integers will boost and you will be able to add integers easily.
Adding Integers:
Integers are positive and negative numbers (except zero, which is neutral integer). Remember, every integer has its sign (Positive or negative) at its left front. Also remember that, most of the times positive sign is not shown in front of the positive integer. For example, 1 is +1, 2 is +2 and 3 is +3 and so on for rest of the positive integers.
Again, all integers have their sign (positive or negative) at their left front and if there is no sign at the left front of an integer that means the integer got plus sign which is hidden and need not to be shown.
Let's go further and learn a trick to add integers:
Rule # 1:
Same signs add and keep, ADD and KEEP.
If two or more integers have the SAME SIGNS, ADD THEM. Keep their common sign in front of the answer that you just got by adding the numbers.
For example, you are already doing the following since you were in grade 2, but today you will learn this from a different point of view or from an integer's point of view:
Simplify the following:
1) 1+2 = 3.
You might be wondering that, you already know this. What's new? The answer is, yes! You already know that 1+2 is equal to 3. My goal here is not to teach you "whole number's additions" but the integer's additions. For this long, you are dealing with the whole numbers and natural numbers, but today you will learn how 1+2 is done, considering them integers (as all the whole numbers are integers).
So, here is the solution:
For now on, whenever you are adding or subtracting the numbers, consider that you are dealing with integers and .......integers are the signed numbers.
Look at the above question, 1 got the plus sign at its front (the sign is not not shown, but it is understood that, "+" sign is at its left front). Also, 2 is positive as it has "+" sign in front of it. This is very important to note that the "+" sign in front of 2 belongs only and only to 2 and it has nothing to do with 1(as most of students consider that the sign at the middle of two numbers is common to both the numbers). 1 got its own plus sign at its left front which is not shown and understood or very common in mathematics.
So, in our question, 1 got plus sign and 2 got plus sign, which means both numbers got the same signs.
What our Rule number 1 says?
Same signs add and keep, ADD and KEEP.
Therefore, we add 1 and 2 to get 3, actually +3 (keep the common sign with the answer which is plus). But, positive sign at front of a leading integer need not be shown, so you can leave the answer as 3 instead of +3.
2) - 1 - 2 = - 3
Probably, you have understood the above question now.
Always look at the signs of integers at their left front, and in this question both number have the same signs (which are negatives). Again, our rule number 1 applies, numbers got the same signs, so add them to get 3 and answer will take the common sign which is negative. Therefore, the answer for above example, - 1 - 2 is equal to -3. Remember, we can't leave the answer as 3 here (which means +3 and the answer is -3), because in case of negative sign we have to show it and it is never ever hidden like a plus sign.
More Examples:
(i) 9 + 5 = 14
(ii) 20 + 8 = 28
(iii) -15 - 10 = - 25
(iv) - 7 - 3 = -10
(v) - 5 - 8 = -13
(vi) 3 + 8 + 15 = 26
(vii) -2 - 8 - 6 = -16
(viii) 40 + 13 + 17 + 22 = 92
(ix) - 7 - 7 - 10 - 15 = - 39
(x) - 14 - 45 - 75 - 35 - 1 = - 170
Visit our site www.algebrapre.com to find good deals on our math ebooks.
Best regards
Manjit Singh.
Opetations with Integers - 1
By: Manjit Singh Atwal Maintaining A Flea - Free Dog La Gerencia Ante La Competitividad Dinamica En Los Actuales Mercados Dog Steps - Why They Are a Bad Idea Watch Georgia Bulldogs vs Colorado Buffaloes Online via PC STREAM Things I take when I go out walking my dog Training Jack Russell Terrier How To Halt An Attacking Dog GIS map server applications and its wide coverage Funmigurumi Poochie Dog: Sparky El Petróleo En El Mercado Mundial List of Doggies Nuts Seeds Petite Histoire De La Chargeuse Pelleteuse All about Feminized Doggies Nuts Seeds