Hello again – I’m glad at least you got through the difficulties of the introduction! but in all seriousness maths is far distant from all boring text and deep reading so let’s jump in shall we?
We all should, I hope, have an understanding of basic addition. This is one of the four basic operators and, as you know, is represented in maths by a + sign (mathematicians are lazy, and as you will discover, like to avoid long text such as addition, and just quickly write symbols).
But wayyyy… slow down, I think we are missing the most important point… basic maths is all about numbers, but what are numbers?
well let’s express some numbers we are all familiar with – The integers (don’t worry, the name is just a written complication of what these are). These integers are just simple, numbers such as 1, 2, 3, 4 and so on (well these are the positive integers, but don’t worry about this just yet).
let us draw a line, a straight line across our page (and don’t laugh but this is my best attempt at computer drawing)
ok so this is just a line for now, but let’s turn it into the basic number line. if we start from the number 0, we can write upwards from 0
well, ignoring my abysmal attempt at number drawing on a computer, you can see that this is a very simple number line. The numbers increase (move up) from 0, and stop at 5 in this case. By simply drawing this I have demonstrated addition – incredible iI know. if you notice that each time the number increases, we have moved up the line +1 spaces. This is really what addition encompasses.
To look at it simply, if we wanted to add, say, 1 + 2, we would start at the number 1 on this line, and adding 2 (or + 2) means moving up exactly 2 numbers on the line
where we have arrived at the number 3 on the line, thus showing that 1+2 is 3 (thankfully!).
To add another demonstration, say we wanted to add 4 to the number 3 (which becomes 3+4) we look again at the number line
Again, ignoring the crummy drawing, and notice I have chosen a poor example because I had to, rather poorly I may add, extend the original number line further – we have started with our number 3, and moved 4 spaces up (3+4) which gives us the number 7.
And this folks is all for this lesson, but I will soon add a practice quiz on this simple addition for those of you to try (again I know this is simple to a lot of you – but It is so very important to have a complete understanding of simple addition before going anywhere further in maths)