Properties of Real Numbers Chapter 2

Whole Number

Are numbers 0,1,2,3...

distribute property

The equation 3(x+2)=3(x)+3(2) illustrates the distributed property.

equivalent expressions

The expressions 3(x + 2) and 3(x)+3(2) are equivalent because they represent the same area.Two expressions that have the same value for all values of the variable are called equivalent expressions.

multiplicative identity

The identity property states that the product of a number a and 1 is a.The number 1 is called the multiplicative identity.

additive identity

The identity property states that the sum of a number a and 0 is a. The number 0 is the additive identity.

additive inverse

The inverse property states that the sum of a number a and its opposite is 0. The opposite of a is its additive inverse.

coefficient

The number part of a term with a term with a variable part is called the coefficient.

like terms

The number part of a term with a variable parts, such as-x and 2x in the the expression above. Constant terms are also like terms.

multiplicative inverse

The reciprocal of a nonzero number a, written1/a is called the multiplicative inverse.

Integers

are the numbers... -3,-2,-1,0,1,2,3,..

square root

f b^2

conditional statement

has a hypothesis and a conclusion.An if the then statement is a form of conditional statement.Then if part contains the hypothesis.Then the part contains the conclusion.

constant term

has a number part but no variable part, such as 8 in the expression above.

rational numbers

is a number a/b where a and b are integers and b are not equal to 0.

absolute value

the absolute value of a number a is the distance between a and 0 on a number line. The symbol [a] represents the absolute value of a.

terms

the parts of an expression that are added together are called terms.

opposites

two numbers that are the same distance from 0 on a number line but are on the opposite sides of 0 are called opposites.