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Algebra Chap. 2

algebra vocab from chap. 2

Terms

undefined, object
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Multiplication Counting Principle
If one choice can be made in m ways and a 2nd choice can be made in n ways, then there are mn ways of making the choices in order.
sense of an inequality
lesson 2-8
Multiplying Fractions Property
a/b times c/d = ac/bd ( b and d are not 0)
direction of an inequality sign
lesson 2-8
Permutation Theorem
There are n! possible permutations of n different objects when each object is used exactly once.
Multiplication Property of -1
a times -1 = -a
Properties of Multiplication of Positive and Negative Numbers
lesson 2-5
IF-THEN
A BASIC command that tells the computer to perform the THEN part only if the IF part is true.
reciprocal rates
2 rates in which the quantities are compared in reverse order.
Multiplication Property of Inequality
If x < y and a is positive, then ax < ay. If x < y and a is negative, then ax > ay
Multiplicative Identity Property of 1
a times 1 = 1 times a = a
n factorial, n!
n! = 1 times 2 times . . . times (n-1) times n
Associative Property of Multiplication
(ab)c = a(bc)
Property of Reciprocals
For any nonzero real number a, a times 1/a = 1/a times a = 1
Rules for Multiplying positive and negative numbers
lesson 2-5
Rate Factor Model for Multiplication
When a rate is multiplied by another quantity, the unit of the product is the product o the units. Units are multiplied as though they were fractions. The product has meaning when the units have meaning.
opposites
The opposite of any real number x is -x
volume
The space contained by a 3-D figure. product of dimensions
reciprocals, multiplicative inverses
reciprocal of n = 1/n
rectangular solid, box
3-D figure with 6 rectangular faces
Reciprocal of a Fraction Property
If a and b do not = 0, then the reciprocal of a/b = b/a
algebraic fractions
a fraction with a variable in its numerator or denominator
tree diagram
A tree-like way of organizing the possibilities of choices in a situation.
Equal Fractions Property
If k does not = 0, and b does not = 0, then a/b = ak/bk
Multiplication Property of Equality
if a = b, then ca = cb
Multiplication Property of Zero
a times 0 = 0
permutation
An arrangement of letters, names, or objects
discrete set
a set of objects that can be counted
Commutative Property of Multiplication
ab = ba
Area Model for Multiplication
Area of a rectangle = l times w
rectangular array, dimension
2-D display of numbers or symbols arranged in rows and columns

Deck Info

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