Algebra 1 Common Core Student Edition, Grade 8-9

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Order of Operations

and Evaluating Expressions”

@ C om m on C ore State S tandards

A-SSE.A.1a Interpret parts of an expression, such as

terms, factors, and coefficients.

MP 1, MP 3, MP 4, MP 6, MP 8

Objectives To simplify expressions involving exponents

To use the order of operations to evaluate expressions

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Lesso n

Vocabulary

power

• exponent
  
  
  • base
  
  
  
  


• sim plify


• evaluate

Essent ial Und er st and ing You can use powers to shorten how you represent

repeated multiplication, such as2X2X2X2X2X2.

A power has two parts, a base and an exponent. The exponent tells

you how many times to use the base as a factor. You read the power 2^3

as “two to the third power” or “two cubed.” You read 5 2 as “five to the

second power" or "five squared.”

You simplify a numerical expression when you replace it with its

single numerical value. For example, the simplest form of 2 • 8 is 16.

To simplify a power, you replace it with its simplest name.

2-2-2

power

Si m p l i f y i n g P o w e r s

What does the

exponent indicate?

It shows the number of

times you use the base

as a factor.

What is the simplified form of the expression?

0 107 Q (0.2)5

107 = 10 • 10 • 10 • 10 • 10 • 10 • 10 (0 .2 )5 = 0.2 • 0.2 • 0.2 • 0.2 • 0.2

= 10,000,000 = 0.00032

G o t It? 1. What is the simplified form of each expression?

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a. 3 (IF c. (0.5)3

10 Chapter 1 Fo u n d a t i o n s f o r A l g e b r a