Chapter 2: Properties of Real Numbers

real numbers: numbers that correspond to exactly one point on the number line, every point represents

rational numbers: a number that can be expressed as a ratio, where the numerator and denominator are integers, and the denominator is NOT zero

• the decimal form is either a repeating, or terminal

irrational numbers: a number that is NOT rational, the decimal form doesn’t terminate NOR repeat

Properties of Real Numbers

For any real numbers a, b, and c:

Distributive: a(b + c) = ab + ac AND (b + c)a = ba + ca

Simplifying Expressions

2(5m + n) + 3(2m - 4n)

= 2(5m) + 2(n) + 3(2m) - 3(4n)

= 10m + 2n + 6m - 12n

= 10 + 6m + 2n - 12n

= (10 + 6)m + (2 - 12)n

= 16m - 10n

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