Irrational NumbersNombor Bukan Nisbah 2MINGGU 12

Writing rational numbers as decimalReal Numbers all numbers which can be represented in decimal form.These decimals can be finite (terminating) or infinite (repeating or recurring)Example;

Converting decimals to fractions; Example:

What about repeating decimalsWhat about ?

Result 7.4: If m, and n are natural numbers, then the decimal representation of is either terminating or repeating.

ExamplesRefer to page 149-150

terminatingrepeating

Result 7.5If the decimal representation of a decimal is terminating or repeating, the the number is rational

How to convert to a fraction?Subtracting the first from the second;

Easy - if the decimal is terminating.Example:

If the decimal is repeating, we use the same trick Example:

Subtracting the first from the second;

How can we write as a fraction?How can 0.9 = 1 ? Can you think of any number that can be

squeezed between 0.9 and 1

0.9 is another way of writing 1

675 - 448 =8/5 =200 =288 =645 + 320 =524 + 254 =318 - 72 =248 - 53 =

Refer to page 270Questions no. 43-46, 47-50, 51-54

Exercise 1.5 page 26,Questions No. 1, 3, 5, 7