Teaching Textbooks Chapter 12: Powers, Polynomials and radicals
|The fifth operation of algebra is..........||raising a number to a power.|
The big number down below the little exponent. In this case it is the 10.
The little number in the upper right. In this case it is the 9.
|Raised to a power||When a repeated multiplication is written with a power we say that the base has been "raised to a power."|
|Squared||Raised to the power of 2, like when you are finding the square footage of a square|
|Cubed||Raised to the power of 3, like when you are doing volume|
|In scientific notation what does the exponent tell you? (LESSON 92)|| |
the exponent tells you how many zeros go after the number
|What are the steps to putting a number into scientific notation? (LESSON 92)|| 1. Move the decimal point in the original number to the left as many times as necessary for the number to be between 1 and 10 (and count the number of places).|
2. Take the new smaller number and multiply it by a power of 10 with an exponent equal to the number of places you moved the decimal point.
|Adding powers: you can add the coefficients of an X if the X's are raised to the same power (Lesson 94)|
|Subtracting powers: you can subtract the coefficients of an X if the X's are raised to the same power (Les. 94)|
| Don't subtract or add coefficients of the X if the X's are not the same power; they have to be "like terms" (Les. 94)|
THESE CANNOT BE ADDED! THEY ARE UNLIKE TERMS:
|Do not multiply the base by the exponent!|
|With tougher cases.....from lesson 96|
|Any number raised to the first power is that number|
|To divide with exponents, just subtract the exponents. (Lesson 97)|
|We can only divide powers by subtracting when the bases are the same! (Lesson 97)|
|The sixth power of algebra is.... (Lesson 99)||taking a root.|
|How is a root shown? (lesson 99)|
|Roots and powers are inv.....(lesson 100)|| |
Roots and powers are INVERSE OPERATIONS. So a square root undoes a power.
|To undo: the root and the power have to have the same degree.|
|Using an exponent of 1 helps you divide and multiply powers|
|What does a zero exponent equal?|| |
Any base with an exponent of zero is AUTOMATICALLY equal to 1