Wednesday, October 25, 2006
posted by Daureen N. at 3:24 p.m.

The Number system

Rational numbers ---> any number written in the form of ratio a/b of 2 integer. a,b and b cannot be a zero.
Examples:
is a rational number because....

the numbers are written in a/b form and the decimals are repeating.

Example#2:

and are both rational because the 1st number repeats and the 2nd number terminates.

However, 7.23242526.......... -- > is not a rational number because the number does not repeat or terminate. This is an example of irrational number because the number never ends.

Irrational Numbers ---> a number that cannot be put in the form of a/b where a,b is an element of Integers.

However, the decimal form of an irrational number will never end or repeat.

Examples:

If you still need help with rational and irrational numbers click here and here.

Don't forget to do your Homework!

Explain how to solve each of the following and state what exponent law you used.

1) 36.32

2) 36divided by 32

3) (36)2

4) 30

5) 32 divided by 36

good jod daureen! ur post is soo good..!!!

thanks for leaving a comment!!=)

Very clear and understandable. Thanks for including the picture and using colour to highlite important ideas.

Mr.Harbeck
Sargent Park School

Great Scribe Post! You deserve to be in the Hall of Fame!!

One thing struck me though ... you said this number:
7.23242526..........
is irrational becasue it never repeats .... or does it?

If it does this:
7.2324252627282920212223242526...
then in fact it does repeat beginning at the 21st decimal place which makes it a rational number.

However if it does this:
7.23242526272829210211212213214215...
then it is an irrational number.

Great post Daureen! Everything about it helps make it easier to understand the difference between rational and irrational numbers. Way to go!

Darren Kuropatwa