the real number system. the natural numbers are the counting numbers, without _______. whole numbers...

The Real Number System

The Real Number System

• The natural numbers are the counting numbers, without _______.

• Whole numbers include the natural numbers and ____________.

• Integers include all whole numbers and their ________________.

• Rational numbers are real numbers that can be written as a

_____________ where a and b are integers and b ≠ 0. Any rational

number can be represented as a terminating or a repeating

___________.

• Irrational numbers are any real numbers that are not _________.

zero

zero

opposites

decimal

rational

The Real Number System

Natural numbers

Whole numbers

Integers

Rational numbers Irrational numbers

The Real Number System

Natural numbers1, 2, 3, ….

Whole numbers0, 1, 2, 3, ….

Integers.… -3, -2, -1, 0, 1, 2, 3, ….

Rational numbers•Can be represented as a fraction of 2 integers

Irrational numbers •Cannot be represented as a fraction of 2 integers

The Real Number System

Natural numbers

Whole numbers

Integers

Rational numbers Irrational numbers

-7

0.25 0 0.1269278…

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-9.1732