Conceiving the Ten Dimensions:
0-Dimensional: Dimension zero is a single point with no length, width, or depth. It has no size or mass and exists only as an idea. It cannot be seen or measured.
1st Dimension: The first dimension is a line connecting two zero-dimensional points. It has length only with no width or depth.
2nd Dimension: The second dimension can be imagined as a line with another line running horizontally through it. A two dimensional object could move up or down and left or right, but not forwards or backwards in space. It would have no depth or mass due to it being infinitely thin.
3rd Dimension: The third dimension takes the second dimension and adds depth to it. Everything that humans can perceive with their senses exists in the third dimension. As third dimensional beings, we can move in any direction in space.
4th Dimension: The fourth dimension adds time to the equation. If you can think of the beginning of the universe as a point, and the end of the universe as a point, the fourth dimension can be imagined as a line connecting these two points. A being that exists in the fourth dimension would be able to freely move forward and backwards in time, just as us three-dimensional beings can move freely through all the dimensions below us.
5th Dimension: Once past the fourth dimension, you start getting heavily into theoretical physics, quantum physics, and multiple time lines. To us, time seems like one single line that we are traveling on from the beginning of time until the end. In reality, time actually has an infinite number of branches and as we travel along this imaginary fourth dimensional time line, our actions and the actions everything else create these branches. There is literally a branch for every single possible action at every single possible point in time. A being that existed in the 5th dimension could move freely throughout the time line he was born and and throughout all the possible branches in that particular time line.
6th Dimension: Take this time line that we exist in and every single branch of this time line and imagine it as one single point. In this time line, you were born, and you will travel through time until you get to the point in which you die. Now imagine a completely different time line in which you weren't born at all. Take this second time line and all of its possible branches and also condense it down to a single point. The sixth dimension can be imagined as a line connecting this time line that you were born in to that second time line in which you were never born. A being traveling in the sixth dimension could move freely through this time line, plus all other possible time lines in this universe.
7th Dimension: This universe that we exist in was created by the big bang. Its hard to conceive, but there is no reason why a big bang would be the only possible way for a universe to start. In fact, the big bang is only one of many possible beginnings. Take our big bang, along with all possible time lines in universe and think of it as a single point. This point would be considered infinity. Now, imagine that there is another universe that is completely separate from our own, complete with its own initial starting conditions and its own physical laws. This creates a second infinity. The seventh dimension can be imagined as a line connecting our infinity to another infinity.
8th Dimension: If you take a seventh dimensional line, and draw another line branching off of it to yet another infinity, you get the eighth dimension. A person existing in the seventh dimension can only travel from infinity A to infinity B. An eighth dimensional being would have the option to branch off the path from infinity A to B and go to infinity C. However, once this being branched off to infinity C, he could no longer get to infinity B.
9th Dimension: Just as us three dimensional beings can move freely through the dimensions below us, so could a ninth dimensional being. Someone in the ninth dimension could freely move from this infinity to all other possible infinities.
10th Dimension: The tenth dimension is easy enough to understand. All you must do is take all possible time lines in all possible infinities and imagine it as a single point. Everything that is not nothingness is contained inside this tenth dimensional point. In order to get to the eleventh dimension, we would have to imagine another point in which to draw a line to, and since a tenth dimensional point contains literally everything, there is no other possible points.
And thats all I've got. If anyone wants anything explained more thoroughly, just ask me and I'll try to help you.