Chapter 5
5-1: Writings Fractions as Decimals
OBJECTIVES:

Write Fractions as terminating or repeating decimals.

Compare fractions and decimals.
VOCABULARY:
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Terminating Decimal: When the division ends, the decimal ends.
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Mixed Number: The sum of a whole number and a fraction.
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Repeating Decimal: A decimal that has a repeating number that goes on forever (to infinity).
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Bar Notation: The way to denote a repeating decimal.
Notes:

Any fraction can be written as a decimal by dividing the numerator by the denominator.
5-2: Rational Numbers
Objectives:

Write rational numbers as fractions.

Identify and classify rational numbers.
VOCABULARY:

Rational Number: A number that can be written as a fraction.

Can be expressed as the quotient of two integers.
Notes:

There is a pattern that you can use to write repeating decimals as fractions.
5-3: Multiplying Rational Numbers
Objectives:

Multiply Fractions.

Multiply Fractions that contain variables (rational expressions.)
Notes:

To multiply fractions, multiply the numerators and multiply the denominators.
5-4: Dividing Rational Numbers
Objectives:

Divide fractions using multiplicative inverses.

Divide Rational Expressions.
VOCABULARY:
Multiplicative Inverse: Two numbers whose product is 1.
Also known as Reciprocals.
Notes:


The product of a number and its multiplicative inverse is 1.
To divide by a fraction, multiply by its multiplicative inverse.
When writing fractions, attach any negative signs to the NUMERATOR!!
5-5: Adding and Subtracting Like Fractions
Objectives:

Add like fractions.

Subtract like fractions.
Notes:

To add fractions with like denominators, add the numerators and write the sum over the denominator.

To subtract fractions with like denominators, subtract the numerators and write the difference over the denominator.
5-6: Least Common Multiple
Objectives:

Find the least common multiple of two or more numbers.

Find the least common denominator of two or more fractions.
VOCABULARY:
Multiple: the product of a number and a whole number.
Common Multiples: when numbers have the same multiples.
Least Common Multiples: (LCM)the least of the non-zero common multiples.
Least Common Denominator: (LCD) the least common multiple of the denominators.
Notes:
You can also find the LCD of denominators containing variables.
5-7: Adding and Subtracting Unlike Fractions
Objectives:


Add unlike fractions.
Subtract unlike fractions.
Notes:


To add fractions with unlike denominators, rename the fractions with a common denominator. Then add and simplify.
To subtract fractions with unlike denominators, rename the fractions with a common denominator. Then subtract and simplify.
5-8: Measures of Central Tendency
Objectives:


Use the mean, median, and mode as measures of central tendency.
Analyze data using mean, median, and mode.
VOCABULARY
Measures of Central Tendency: One or more numbers used to represent the whole set.
Mean: The sum of the data divided by the number of items in the data set.
Median: The middle number of the ordered data, or the mean of the middle two numbers.
Mode: The number or numbers that occur most often.
Notes:


The mean and median do not have to be part of the data set.
If there is a mode, it is always a member of the data set.
5-9: Solving Equations with Rational Numbers
Objectives:

Solve equations containing rational numbers.
Notes:
You solve equations containing rational numbers in the same way you solve equations containing whole numbers.
5-10: Arithmetic and Geometric Sequences
Objectives:


Find the terms of arithmetic sequences.
Find the terms of geometric sequences.
VOCABULARY
Sequence: Ordered list of numbers.
Arithmetic Sequence: a sequence in which the difference between any two consecutive terms is the same.
Term: Each individual number in the sequence.
Geometric Sequence: a sequence in which the quotient of any two consecutive terms is the same.
Common Ratio: The quotient in a geometric sequence.
Notes:

Common differences and common ratios can be negative.