Numbers
Terminating decimal - Contains a finite number of digits. In other words, there is an end to the division process. - E.g. 0.525 is a terminating decimal. Repeating decimals - Has one or more digits that are repeated infinitely. - Place a dot above the repeating digit when writing. - If there are three or more repeating digits, place the dot over the first and the last repeating digits. Non-repeating, non-terminating decimals - These decimals continue without end, but do not have a repeating pattern. For example, π is not a rational number since it cannot be expressed as a ratio of two intergers. Note the following:
Laws of Arithmetic
1. Commutative Law a + b = b + a ab = ba 2. Associative Law a + (b + c) = (a +b) + c a(bc) = (ab)c 3. Distributive Law a(b ± c) = ab ± ac When Multiplying and Dividing Positive and Negative Numbers, do note: If the signs are the same, then (+) is used. If the signs are different, then (-) is used. Watch the following video to gain a better understanding:
Concept Map
Here is a round-up:
