To get from 100 to 95, you multiply by 0.95 or 95% or 95/100

But to get back to 100 from 95, you multiply by 100/95 or a scary decimal.

Try to figure out what is the scary decimal???

When you get the answer, don't forget to look at it and write it down.

Think about the 0.95 that got you from 100 to 95

and then think about the new number that gets you back.

Do you see anything interesting???

One is less than 1, and one is bigger than one.

Which one is further from one, the big one, or the small one??

And from this we might be able to guess that the big reciprocal gets

bigger faster than the smaller reciprocal gets smaller.

Reciprocals are fun!! One is bigger than one, and one is smaller than one.

Bye!

]]>I have to disagree a bit...

I, for one, find it incredibly difficult to understand anything (and particularly that which is math-related), without understanding the reasoning behind it...

It is interesting that you should make these comments, however...

I had assumed that everyone would feel as I do and that most would learn the mechanical processes of "doing" the math more effectively after they have a clear understanding of the conceptual aspects, or the "why" behind the math.

I imagine it depends entirely on individual learning styles...thanks for the insight

Usually understanding of a concept comes after you are familiar with it and have worked with it for a while. You been to see the logic and reasoning behind it.

And Hippogriff, this is the philosophy of the author of my mathbook:

math is not difficult, math is differant, and that people often call things that are unfamiliar to them, difficult, and things that are familiar easy. Time and practice is required for things that are differant to become things that are familiar and thus, easy.

This really is true. Also, the author of my mathbook claims he is not particularly fond of math. But he likes what math has allowed him to do. Engineering, computer sciense, etc. Math in and of itself is completely worthless, but when applied to something, its like wielding a magic wand!

]]>I've found studying maths can be a little tedious, but I only fail at learning it if I try to understand the maths from the start. When I am being taught a new method in mathematics, instead of trying to UNDERSTAND what is going on, I just accept the steps I need to take and take them. The understanding of what's happening usually sinks in when you have been working with somthing for a while.]]>

Harder Decimal Subtraction here

Harder Decimal Multiplication here

And Decimal Division here

Some of them are really hard, so you will need a pen and paper, and it is OK not to do all of them, you will get scored based on those you do.

Now, a **Decimal Fraction** is a special type of fraction where the lower number (the denominator) is 10 or 100 or 1000 etc.

You can try converting Decimals to Decimal Fractions here

]]>Try easy Decimal Subtraction here

Or even Decimal Multiplication here

You may notice that it is exactly the same as normal addition, subtraction or multiplication, you just have to make sure the decimal point is in the right place.

Feel free to ask any questions if you can't make sense of any of these.

You can do lots more decimal practice from this menu

(PS: I really don't mind this once a day discussion.)

]]>