1.2 Apply Number Properties Addendum

Key Terms- greatest common factor (GCF): The greatest factor that is shared between the numbers.- least common multiple (LCM): The least multiple that is shared between the numbers.- order of operations: The rules for the order that calculations should be done when evaluating an expression.Vocabularyaddend: A number that is added to another number.factor: A number that is multiplied by another number.undefined: An expression that cannot be evaluated. Core Skill Apply Number Sense ConceptsThe greatest common factor of two numbers is useful when reducing fractions, and the least common factor is used when adding and subtracting fractions. For instance, to reduce 8 you find the GCF of 8 and 12, which is 4. Therefore, you can divide both 8 and 12 by 4 to get the reduced fraction 2 When adding or subtracting fractions, you find the least common factor of the denominators (also known as least common denominator) instead of finding the GCF. Knowing whether the GCF or LCM is being asked in a problem is an important problem-solving skill. For example, suppose a jeweler has 60 lengths of wire and 48 charms to use to make bracelets. He will use the same number of charms on each bracelet, and he wants to make as many bracelets as possible, using all of his materials. How many bracelets will he be able to make? 21st Century Skill Business LiteracyIn business, a company's profit is calculated by subtracting the operating costs from the revenue. Potential investors will look at predictions of yearly revenue and cost to determine if a company is worth investing time and money in. A small business's average daily revenue over the past few months was $875.22. Its daily operating cost during that time was $750.79. Write and solve an expression that determines the total profit for the business during the whole year. Core Practice Perform OperationsUnderstanding how to simplify expressions using the order of operations is an important skill to have. However, sometimes parentheses can be forgotten, which may or may not change the value of an expression. Calculator Skill