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ACT Preparation / Unit 7   ACT 0601 short lesson, about 20 seconds

The Real Number System

Captions available

The idea

The natural numbers are 1, 2, 3 and so on; adding 0 gives the whole numbers; adding the negatives gives the integers. Every integer is rational, and the rationals and irrationals together make the real numbers.

In practice

−4 is an integer and rational, but not whole.

Where people slip

The sets nest: a natural number belongs to every larger set.

Your place on the trail

Every lesson rests on earlier ones and opens later ones. Tap any to jump.

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