ExponentsExponents

Question:Question:What are exponents and What are exponents and when will I have to use when will I have to use

them?them?

Answer:Answer:Exponents are the little Exponents are the little numbers that rest in the numbers that rest in the sky next to a number. It sky next to a number. It

tells you how many times tells you how many times to multiply the number by to multiply the number by

itself.itself.

Answer (cont.)Answer (cont.)We learn about exponents We learn about exponents just before we begin order just before we begin order

of operations. You will of operations. You will also see them in algebra also see them in algebra

and geometry!and geometry!

Let’s get started with Let’s get started with your graphic organizer! your graphic organizer!

This is a great study This is a great study tool to look over before tool to look over before

a quiz/test.a quiz/test.

Is there an exponent key Is there an exponent key on the calculator (TI-34II)?on the calculator (TI-34II)?

Yes!!!!!Yes!!!!!

Find the “^” key directly Find the “^” key directly beneath the pi symbol.beneath the pi symbol.

Try 5Try 566

Did you type in…Did you type in…

5^6 to get 15,6255^6 to get 15,625

Good job!Good job!

You will have time to practice You will have time to practice with the calculator later but with the calculator later but for now, make a note at the for now, make a note at the

bottom of your graphic bottom of your graphic organizer about which key to organizer about which key to

use for exponents.use for exponents.

ExponentsExponents: : 9944

What is the base?What is the base?

What is the exponent?What is the exponent?

Write the expression in words.Write the expression in words.

What is the value?What is the value?

ExponentsExponents: : 5500

What is the base?What is the base?

What is the exponent?What is the exponent?

Write the expression in words.Write the expression in words.

What is the value?What is the value?

ExponentsExponents: : kk33

What is the base?What is the base?

What is the exponent?What is the exponent?

Write the expression in words.Write the expression in words.

What is the value if k is equal to 4?What is the value if k is equal to 4?

Exponential Form:Exponential Form:Write 3 x 3 x 3 x 3 x 3 in exponential Write 3 x 3 x 3 x 3 x 3 in exponential

form.form.

Write the power as a product:Write the power as a product:

6 x 6 x 6 x 6 = 6 x 6 x 6 x 6 =

5 x 5 x 5 =5 x 5 x 5 =

Big numbers:Big numbers:

How can How can 1,000,000,000,000 be 1,000,000,000,000 be

written using exponents?written using exponents?

It’s time to apply what It’s time to apply what we have learned to we have learned to

some order of some order of operations problems…operations problems…

Solve by showing your work:Solve by showing your work:

aa22 + 5, if a = 4 + 5, if a = 4

Did you get….Did you get….

4422 + 5 + 516 + 516 + 5

2121

Solve by showing your work:Solve by showing your work:35 - b35 - b33, if b = 2 , if b = 2

Did you get….Did you get….

35 – 235 – 233

35-835-8

2727

Solve by showing your work:Solve by showing your work:108 – 7108 – 700 - c - c22, if c = 9, if c = 9

Did you get….Did you get….

108 – 7108 – 700 – 9 – 922

108 – 1 – 81108 – 1 – 81

107 – 81107 – 81

2626

Well Done!Well Done!

Tomorrow we will begin where we left Tomorrow we will begin where we left off….order of operations.off….order of operations.