# Beginng Algebra Chapter 1 Operations on Real Numbers and Algebraic Expressions

## 52 terms · 1.2-1.8 Anc Summer I 2011 Mr Beaugard

### Prime Number

Can be divided evenly only by 1 or itself.
And it must be a whole number greater than 1.

### Composite Number

a number with more than two factors

### LCM

The smallest multiple that is exactly divisible by every member of a set of numbers

### Steps to find LCM

1) List prime factors of each number in expanded form. 2) Circle each factor where it appears most. 3) Multiply circled factors.

### Find LCM

Write the number then a colon then list out multiples. that is 1 x number then 2 x number ect.. Do the same for the other number until a multiple matches a multiple of the other number

### Equivalent Fractions

Have the same value, even though they may look different.

### Writing an Equivalent Fraction

Two equivalent fractions may have a different numerator and a different denominator. (A fraction is also equivalent to itself. In this case, the numerator and denominator would be the same.)

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### Lowest Term

A fraction is in lowest terms when its numerator and denominator have no common factors other than 1

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### Decimal Places

Places to the right of the decimal point

### Round Decimals

the same way as we round whole numbers

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### Convert a fraction to a decimal

numerator divided by denominator

### Terminating/Repeating Decimals

a terminating decimal is a decimal whose digits end. repeating decimals have a pattern in their digits that repeat forever.

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### Percent

The ratio of a number to 100 (per one hundred). The symbol %

### Convert a Percent to a Decimal

move decimal two places to left

### Convert Decimal to a Percent

move decimal two places to the right

### Set Notation

A way to write a solution that includes brackets.

### Rational Numbers

A number that can be expressed as a fraction

### Irrational Numbers

Numbers that cannot be expressed as a ratio of two integers. Their decimal expansions are nonending and nonrepeating.

### Real Numbers

the set of numbers that includes rational and irrational numbers.

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### Real Number Line

a a line of negatives and positives
<-_negatives___orgin___positives+>

### Plotting Points

the act of drawing points on a number line or graph

### Ordering Numbers

is when you write them form least to greatest or greatest to least,

### Absolute Value

a numerical value regardless of its sign

### Operations on Signed Numbers

+,-,*.and /

keep the sign of both the numbers and add .

a+-a=0 (where you add a number and its opposite and it equals zero)

a-b = a+(-b)
or
a-(-b) = a+b

### Multiplying Integers

If a & b are positive, then (-a)(-b)=ab, where ab is the whole-number product of a & b. That is, the product of two negatives is a positive.

a x 1/a = 1

### Dividig Integers

Positive ÷ positive = positive

Example: 72 ÷ 9 = 8

Negative ÷ negative = positive

Example: (-132) ÷ (-12) = 11

Positive ÷ negative = negative

Example: (-75) ÷ 25 = -3

Negative ÷ positive = negative

Example: (-44) ÷ 11 = -2

### Multiplying Fractions

1.) Multiply numerators across.
2.) Multiply denominators across.

### Dividing Fractions

To divide fractions, invert the second one and multiply

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### LCD

Least common denominators of two or more factors

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### Steps to Add or Subtract Fractions

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line up the decimals

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### Identity Properties

The properties that state the sum of any number and zero is that number and the product of any number and one is that number.

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### Commutative Properties

multiplication: ab=ba

### Associtive Properties

changing the grouping doesnt change the sum of the product

### Properties Of Zero

1: a x 0=0 2: 0/a=0 3: a/0=DNE

### Evaluating Exponents

to find the value of

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