Cardinalis means "that upon which a door hinges, pivotal" in Latin, from cardo, "hinge, pivot". From this it acquired its secondary meaning, "important, principal", which it still has in English (e.g. a cardinal sin). Its third meaning is derived from this: a cardinal number is a "principal" number, i.e. one that simply says how many objects there are.
That'll be one pound.
Two billion people might die.
Ordinalis means "in order of succession, of an order". It comes from ordo, "order, rank". An ordinal number is an adjective that denotes what place an object has in a certain order. The names of the ordinal numbers are usually derived from the cardinal numbers by adding -th.
That is my second victory.
This is the tenth time she's dumped me.
While a cardinal number refers to several objects ("three apples"), an ordinal number refers to only one of those ("the third apple"). An ordinal number is hence dependent on the notion of a cardinal number: there can't be a third apple unless there are at least three apples. By contrast, there can be three apples without one being the third, if they are just not arranged in any particular order.
The Romans used these terms the same way. They also had distributive numbers, which indicated "every third apple", or apples "in triads", "three each".
Best Answer
'Take into account' is used in contexts where an entity is regarded/considered/given thought for an operation/action.
'Account for' refers to provisioning for an entity's involvement in an action/operation.
The key difference is the tone implied by the two phrases. When you 'take something into account' you take it into consideration while performing an action.
If you have to 'account for something', you have to make clear provisions for it during your action.
Let's look at the following to sentences:
Sentence 1 implies that a football club must give thought to the fans' feelings before selling their star player. The club should consider the fans' emotions and morale before they go ahead with the player sale.
Sentence 2 implies that a good football club must make provisions for the damage incurred by fans' feelings due to the sale. The club could either make another star signing or reduce ticket rates or do something to account for the fans' feelings.