Name:__________ warm-up 7-2 Determine whether –5x2 is a monomial. Explain your reasoning.

Determine whether x3 – y3 is a monomial. Explain your reasoning.

Simplify (3ab4)(–a4b2). Simplify (2x5y4)2.

Find the area of the parallelogram. What is the product (–3x2y3z2)(–17x3z4)?

Details of the DayEQ:How can you make good decisions?What factors can affect good decision making?

I will be able to…

•Divide monomials using the properties of exponents.

•Simplify expressions containing negative and zero exponents.

Activities:Warm-upReview homeworkHoliday QuickieNotes: 7-2 Division properties of exponentsClass work/ HW

Vocabulary:

•Zero exponent

•Negative exponent

•Order of magnitude

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7-2 Division Properties of Exponents

Exponents Exponents Exponents Exponents Exponents Exponents Exponents Exponents Exponents Exponents Exponents Exponents Exponents Exponents Exponents Exponents Exponents Exponents Exponents Exponents Exponents Exponents Exponents Exponents Exponents Exponents Exponents Exponents Exponents Exponents Exponents Exponents Exponents Exponents Exponents Exponents Exponents Exponents Exponents Exponents Exponents Exponents Exponents Exponents Exponents Exponents Exponents Exponents

Exponents Exponents

Determine whether –5x2 is a monomial. Explain your reasoning.

Determine whether x3 – y3 is a monomial. Explain your reasoning.

Simplify (3ab4)(–a4b2). Simplify (2x5y4)2.

A Quick Review

A Quick Review The tens digit of a two-digit number is 5 more than twice the ones digit. The sum of the digits is 8. What is the number?

What is the solution of the system of equations?y = x + 3y = –2x

Notes and examplesDetermine whether each expression is a monomial. Explain your reasoning.A. 17 – cB. 8f

2g

C

Which expression is a monomial?

A. X5

B. 3p – 1

34

D.

5t

C

D

Notes and examples

Notes and examplesSimplify Assume that p and q are not

equal to zero.

Notes and examples

. Simplify . Assume that z is not equal to zero.

Simplify . Assume that x and k are not

equal to zero.

.

Notes and examples

A. Simplify . Assume that no denominator is equal to zero.

. Simplify . Assume that no denominator equals zero

Notes and examples Simplify . Assume that no denominator is equal to zero.

Simplify . Assume that no denominator is equal to zero

Real World Examples

(order of magnitude is the number rounded to the nearest power of ten.

SAVINGS Darin has $123,456 in his savings account. Tabo has $156 in his savings account. Determine the order of magnitude of Darin’s account and Tabo’s account. How many orders of magnitude as great is Darin’s account as Tabo’s account?

A circle has a radius of 210 centimeters. How many orders of magnitude as great is the area of the circle as the circumference of the circle?