exponents an exponent is the number of times the base is multiplied by itself. example 27 can also...
TRANSCRIPT
![Page 1: Exponents An exponent is the number of times the base is multiplied by itself. Example 27 can also be written as 3 This means 3 X 3 X 3](https://reader031.vdocuments.mx/reader031/viewer/2022032607/56649ebf5503460f94bca612/html5/thumbnails/1.jpg)
ExponentsAn exponent is the number of times the base is multiplied by itself.
Example 27 can also be written as 3
This means 3 X 3 X 3
![Page 2: Exponents An exponent is the number of times the base is multiplied by itself. Example 27 can also be written as 3 This means 3 X 3 X 3](https://reader031.vdocuments.mx/reader031/viewer/2022032607/56649ebf5503460f94bca612/html5/thumbnails/2.jpg)
Substituting variables for numbers
![Page 3: Exponents An exponent is the number of times the base is multiplied by itself. Example 27 can also be written as 3 This means 3 X 3 X 3](https://reader031.vdocuments.mx/reader031/viewer/2022032607/56649ebf5503460f94bca612/html5/thumbnails/3.jpg)
Variable
• A variable is a symbol for a number we don’t know yet like X or Y.
![Page 4: Exponents An exponent is the number of times the base is multiplied by itself. Example 27 can also be written as 3 This means 3 X 3 X 3](https://reader031.vdocuments.mx/reader031/viewer/2022032607/56649ebf5503460f94bca612/html5/thumbnails/4.jpg)
Integers
• Integers include zero, positive and negative numbers. They do not include fractions.
![Page 5: Exponents An exponent is the number of times the base is multiplied by itself. Example 27 can also be written as 3 This means 3 X 3 X 3](https://reader031.vdocuments.mx/reader031/viewer/2022032607/56649ebf5503460f94bca612/html5/thumbnails/5.jpg)
Laws of Exponents
X = (X)(X)…..(X) (N factors of X)
X = 1 (if X = 0) X
X = X
![Page 6: Exponents An exponent is the number of times the base is multiplied by itself. Example 27 can also be written as 3 This means 3 X 3 X 3](https://reader031.vdocuments.mx/reader031/viewer/2022032607/56649ebf5503460f94bca612/html5/thumbnails/6.jpg)
Practice
• Write 11 as multiplication.
• Write u as a fraction using only positive exponents.
• What is the value of 100 ?
• Evaluate -5 and (-5)
![Page 7: Exponents An exponent is the number of times the base is multiplied by itself. Example 27 can also be written as 3 This means 3 X 3 X 3](https://reader031.vdocuments.mx/reader031/viewer/2022032607/56649ebf5503460f94bca612/html5/thumbnails/7.jpg)
Solutions1) 11 X 11 X 11 = 1331
2) 1 u
3) 10
4) 1 25
![Page 8: Exponents An exponent is the number of times the base is multiplied by itself. Example 27 can also be written as 3 This means 3 X 3 X 3](https://reader031.vdocuments.mx/reader031/viewer/2022032607/56649ebf5503460f94bca612/html5/thumbnails/8.jpg)
Multiplying Exponents
• Same base
• (X ) (X) = X
• Be careful I can add the exponents, because X is the base both time. If I had X and Y I could only combine in the exponents were the same.
![Page 9: Exponents An exponent is the number of times the base is multiplied by itself. Example 27 can also be written as 3 This means 3 X 3 X 3](https://reader031.vdocuments.mx/reader031/viewer/2022032607/56649ebf5503460f94bca612/html5/thumbnails/9.jpg)
DifferencesMath is a language
• (4x) means (4 ) (X )
• 4x means 4 (X)(X)(X)
![Page 10: Exponents An exponent is the number of times the base is multiplied by itself. Example 27 can also be written as 3 This means 3 X 3 X 3](https://reader031.vdocuments.mx/reader031/viewer/2022032607/56649ebf5503460f94bca612/html5/thumbnails/10.jpg)
Dividing Exponents
Step 1: X X =
Step 2: X = 1 X
Step 3: (X ) (X ) = X
![Page 11: Exponents An exponent is the number of times the base is multiplied by itself. Example 27 can also be written as 3 This means 3 X 3 X 3](https://reader031.vdocuments.mx/reader031/viewer/2022032607/56649ebf5503460f94bca612/html5/thumbnails/11.jpg)
Dividing Exponents
Step 1: X X =
Step 2: (XX) (XXXXXX) (XXXXXX)
STEP 3: (XX) (XXXXXX) (XXXXXX)
Step 3: (XX) = X
![Page 12: Exponents An exponent is the number of times the base is multiplied by itself. Example 27 can also be written as 3 This means 3 X 3 X 3](https://reader031.vdocuments.mx/reader031/viewer/2022032607/56649ebf5503460f94bca612/html5/thumbnails/12.jpg)
x
• Anything divided by itself is 1. X to the zero power is 1.
• Example X / X = (X ) (X ) = 1
• This works in all cases except for if X is equal to zero.
![Page 13: Exponents An exponent is the number of times the base is multiplied by itself. Example 27 can also be written as 3 This means 3 X 3 X 3](https://reader031.vdocuments.mx/reader031/viewer/2022032607/56649ebf5503460f94bca612/html5/thumbnails/13.jpg)
Practice
Solve:
1)X X 2) X X = If X = 5
3) X X 4) X X = If X =3
![Page 14: Exponents An exponent is the number of times the base is multiplied by itself. Example 27 can also be written as 3 This means 3 X 3 X 3](https://reader031.vdocuments.mx/reader031/viewer/2022032607/56649ebf5503460f94bca612/html5/thumbnails/14.jpg)
Practice
• Solve: • n = 3 729
If x = 64 solve x n = 2
![Page 15: Exponents An exponent is the number of times the base is multiplied by itself. Example 27 can also be written as 3 This means 3 X 3 X 3](https://reader031.vdocuments.mx/reader031/viewer/2022032607/56649ebf5503460f94bca612/html5/thumbnails/15.jpg)
Practice
• Write 12 as multiplication.
• Write u as a fraction using only positive exponents.
• What is the value of 125 ?
• Evaluate -4 and (-4)
![Page 16: Exponents An exponent is the number of times the base is multiplied by itself. Example 27 can also be written as 3 This means 3 X 3 X 3](https://reader031.vdocuments.mx/reader031/viewer/2022032607/56649ebf5503460f94bca612/html5/thumbnails/16.jpg)
Distributive PropertyThe Distributive Property of multiplication is the property that states that multiplying
a sum by a number is the same as multiplying each addend by the number
and then adding the products. The Distributive Property says that if a, b and c
are real numbers, then a(b + c) = (a x b) + (a x c)
![Page 17: Exponents An exponent is the number of times the base is multiplied by itself. Example 27 can also be written as 3 This means 3 X 3 X 3](https://reader031.vdocuments.mx/reader031/viewer/2022032607/56649ebf5503460f94bca612/html5/thumbnails/17.jpg)
Examples of Distributive property
36 + 8 = 44 Step 1 4 (9 + 2) = Step 2 (4 x 9) + (4 x 2) = Answer 36 + 8 = 44
![Page 18: Exponents An exponent is the number of times the base is multiplied by itself. Example 27 can also be written as 3 This means 3 X 3 X 3](https://reader031.vdocuments.mx/reader031/viewer/2022032607/56649ebf5503460f94bca612/html5/thumbnails/18.jpg)
Practice
1) 5 (x + 3)
2) x ( y + 9)
Are these equal?
3) 25 + 10 = 7 (5 + 0) =
4) 5 + 3 = 20 (3 + 1) =
![Page 19: Exponents An exponent is the number of times the base is multiplied by itself. Example 27 can also be written as 3 This means 3 X 3 X 3](https://reader031.vdocuments.mx/reader031/viewer/2022032607/56649ebf5503460f94bca612/html5/thumbnails/19.jpg)
Scientific NotationDefinition: A method of expressing numbers in terms of a decimal number between 1 and 10 multiplied by a power of 10.
Example: The Scientific Notation for 10,492 is 1.0492 X 10 .
Show You Tube Video
![Page 20: Exponents An exponent is the number of times the base is multiplied by itself. Example 27 can also be written as 3 This means 3 X 3 X 3](https://reader031.vdocuments.mx/reader031/viewer/2022032607/56649ebf5503460f94bca612/html5/thumbnails/20.jpg)
Practice
Convert to Scientific notation
1)7535 2) .0027
3) .00045 4) 8,456