1 2 Order of Operations and Evaluating Expressions

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1. 2 Order of Operations and Evaluating Expressions: Power: Has two parts, the base

1. 2 Order of Operations and Evaluating Expressions: Power: Has two parts, the base and exponent ( b 2 b = base, 2 = exponent ) Exponent: The number that tells you how many times we multiply the base.

Base: The number that is multiplied according to the exponent Simplify: Perform math operations

Base: The number that is multiplied according to the exponent Simplify: Perform math operations to get a shorter expression and/or an answer. Evaluate: Replace the variables with given numbers to simplify an expression.

GOAL:

GOAL:

REAL-WORLD: An object’s momentum is defined as the product of its mass m and

REAL-WORLD: An object’s momentum is defined as the product of its mass m and velocity v. Write and expression for the momentum of the object. Make a table to find the momentum of a vehicle with a mass of 1000 kg moving at a velocity of 15 m/s, 20 m/s and 25 m/s.

SOLUTION: Expression: Momentum = (mass)(velocity) mass = m velocity = v Momentum = (m)(v)

SOLUTION: Expression: Momentum = (mass)(velocity) mass = m velocity = v Momentum = (m)(v)

SOLUTION: Table: Momentum = (m)(v) Mass 1000 Velocity 15 m/s 20 m/s 25 m/s

SOLUTION: Table: Momentum = (m)(v) Mass 1000 Velocity 15 m/s 20 m/s 25 m/s W m/s Momentum= mv 15, 000 20, 000 25, 000 1000 w

YOU TRY IT: Evaluate the expression for s = 4 and t = 8

YOU TRY IT: Evaluate the expression for s = 4 and t = 8 (s+t)3

SOLUTION: When we evaluate we replace the given value for the variables. S =

SOLUTION: When we evaluate we replace the given value for the variables. S = 4 and t = 8 (s + t ) 3 (4 + 8 ) 3 (12)(12) Replace PEMDAS Multiplication Therefore: 1728 is the answer.

VIDEOS: Variables and Expressions Variables: http: //www. khanacademy. org/math/algebra/intro duction-to-algebra/variable-andexpressions/v/what-is-a-variable Expressions: http: //www. khanacademy.

VIDEOS: Variables and Expressions Variables: http: //www. khanacademy. org/math/algebra/intro duction-to-algebra/variable-andexpressions/v/what-is-a-variable Expressions: http: //www. khanacademy. org/math/algebra/intr oduction-to-algebra/variable-andexpressions/v/variables-and-expressions-1

CLASSWORK: Page 13 -15: Problems: As many as it takes you to master the

CLASSWORK: Page 13 -15: Problems: As many as it takes you to master the concept.