Emeline Emeline has six kits and then each of her babies has six kits as soon as they grow up and each of their babies has six kits and so on How many kits will be in the 4 th generation of the family ID: 701688
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Rabbits!
On Clyde’s Consistent Ranch, every rabbit always has six babies (called kits). Consider
Emeline:Emeline has six kits, and then each of her babies has six kits (as soon as they grow up), and each of their babies has six kits, and so on…How many kits will be in the 4th generation of the family after Emeline?Draw a diagram on your white board!Slide2
Emeline’s answer can be discovered more easily using exponents
Emeline
= 11st Generation =
6
2
nd Generation = 363rd Generation = 2164th Generation = 1,296
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Exponents4.01Slide4
Essential QuestionHow do I use the definition of an exponent to simplify expressions?Slide5
ExponentsExponent: a notation that shows how many times a number is to be multiplied by itself
Example:
Practice:
49 128 Slide6
Order of OperationsSimplify groupsSimplify exponentsCircle termsMultiply and divide inside the terms
Add and subtract from left to rightSlide7
Steps: Example: Simplify groups
Simplify exponents Circle terms
Multiply and divide to simplify terms Add and subtract from left to right 4 – (9+1)² ÷ 5 + 2 ∙ 6 4 - ( 10)² ÷ 5 + 2 ∙ 6 4 - 100 ÷ 5 + 2 ∙ 6
4 - 20 + 12
- 16 + 12
-4Slide8
Steps: Example: Simplify groups
Simplify exponents Circle terms
Multiply and divide to simplify terms Add and subtract from left to right 3 + 4³ - 2 ∙ 10 3 + 4³ - 2 ∙ 10 3 + 64 - 2 ∙ 10
3 + 64 - 20
67 - 20
47Slide9
Practice: copy each problem down and then simplify
1) 2 2) 47 3) 24
4) 142 5) -7 6) 9
7) 23 8) -39 9) -86
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Essential QuestionHow do I use the definition of an exponent to simplify expressions?