Warm Up: *Hand in Task Sheet! (P5) 1. In the power of 107, what is the base and what is the exponent? 2. How do we write 107 using repeated multiplication? 3. How do we write 107 in standard form? 4. How do we write 107 in words? 5. Why might 107 be written as a power in a paragraph? *Hand in Task Sheet! (P5)

2.2 Powers of Ten and the Zero Exponent Curriculum Focus Explore patterns and powers of 10 to develop a meaning 
for the exponent 0. Key Math Learnings 1. Patterns can be used to explain the zero exponent law. 2. Any power with an integer base, excluding 0, and an 
exponent of 0, is equal to 1. 3. Numbers can be written using powers of 10 and the 
zero exponent.

1. What do you notice about the exponents as you move down the rows of your table? 2. What do you notice about the repeated multiplication as you move down the rows of your table? 3. Choose any row in the middle of the table. What can you do the number in standard form to get the number in the row above it? To get the number in the row below? 4. What is the quotient when you divide a number by itself? 5. Continue your table for exponent 0.

Let's explore some more...

Other patterns??? 4 5 9

1. What patterns do you see in the base 10 table? 2. How is this table similar to the tables you created in the Investigate? 3. Does it matter what the base of the power is when we evaluate a power with an exponent of 0?

Using the pattern, what do you think the bottom row would be?

What about here??? 4 5 9

How about now? 1. What patterns do you see in the base 10 table? 2. How is this table similar to the tables you created in the Investigate? 3. Does it matter what the base of the power is when we evaluate a power with an exponent of 0?

Notes Zero Exponent Law  A power with an integer base, other than 0, 
 and an exponent 0 is equal to 1.  n0 = 1, n ≠ 0

Your Turn!

Simplifying expressions with zero exponents!

Even More!

Your turn! Text page 61-62 Questions: 5, 6, 7, 8

Example 4. Which number is greater? (6x105) + (3x102) + (1x101) or 60031?

Practice: Text page 61-62 Questions: 9, 10, 13

Pages 61-62 Questions 4-14