how do you write expressions with exponents to help solve problems? for example, would you rather be...
TRANSCRIPT
![Page 1: How do you write expressions with exponents to help solve problems? For example, would you rather be paid $4 which doubles daily for four days or accept](https://reader036.vdocuments.site/reader036/viewer/2022062314/56649da25503460f94a8e2e9/html5/thumbnails/1.jpg)
How do you write expressions with exponents to help solve problems?
For example, would you rather be paid $4 which doubles daily for four days or accept $50 as total payment for a job?
![Page 2: How do you write expressions with exponents to help solve problems? For example, would you rather be paid $4 which doubles daily for four days or accept](https://reader036.vdocuments.site/reader036/viewer/2022062314/56649da25503460f94a8e2e9/html5/thumbnails/2.jpg)
In this lesson you will learn how to write a numerical expression using
exponents by interpreting a specific problem or situation.
![Page 3: How do you write expressions with exponents to help solve problems? For example, would you rather be paid $4 which doubles daily for four days or accept](https://reader036.vdocuments.site/reader036/viewer/2022062314/56649da25503460f94a8e2e9/html5/thumbnails/3.jpg)
Let’s ReviewLet’s Review
Numerical expressions are mathematical phrases containing
numbers and operations.
13 – (2 x 4)
![Page 4: How do you write expressions with exponents to help solve problems? For example, would you rather be paid $4 which doubles daily for four days or accept](https://reader036.vdocuments.site/reader036/viewer/2022062314/56649da25503460f94a8e2e9/html5/thumbnails/4.jpg)
Let’s ReviewLet’s Review
When finding the value of an
expression, we need to follow the Order of
Operations.
1st P Parentheses2nd E Exponents3rd M Multiply or D Divide from left to right4th A Add or S Subtract from left to right
![Page 5: How do you write expressions with exponents to help solve problems? For example, would you rather be paid $4 which doubles daily for four days or accept](https://reader036.vdocuments.site/reader036/viewer/2022062314/56649da25503460f94a8e2e9/html5/thumbnails/5.jpg)
Let’s ReviewLet’s Review
Exponents tell us how many times to use the base as a factor.
52 = 5 x 5 = 25
![Page 6: How do you write expressions with exponents to help solve problems? For example, would you rather be paid $4 which doubles daily for four days or accept](https://reader036.vdocuments.site/reader036/viewer/2022062314/56649da25503460f94a8e2e9/html5/thumbnails/6.jpg)
Let’s ReviewA Common Mistake
Not reading the problem carefully or misinterpreting the situation.
Not looking at the reasonableness of an answer.
![Page 7: How do you write expressions with exponents to help solve problems? For example, would you rather be paid $4 which doubles daily for four days or accept](https://reader036.vdocuments.site/reader036/viewer/2022062314/56649da25503460f94a8e2e9/html5/thumbnails/7.jpg)
Let’s ReviewCore Lesson Would you rather be paid $4 which doubles daily for four days or accept $50 as total
payment for a job?
What do we know? What do we want to know?
Paid $4 that doubles everyday for 4 days or paid $50 total
Which pays more?
![Page 8: How do you write expressions with exponents to help solve problems? For example, would you rather be paid $4 which doubles daily for four days or accept](https://reader036.vdocuments.site/reader036/viewer/2022062314/56649da25503460f94a8e2e9/html5/thumbnails/8.jpg)
Let’s ReviewCore Lesson
Let’s take a look at our earnings for each day.
Day 1 Day 2 Day 3 Day 4
$4 $4 x 2 $4 x 2 x 2 $4 x 2 x 2 x 2
![Page 9: How do you write expressions with exponents to help solve problems? For example, would you rather be paid $4 which doubles daily for four days or accept](https://reader036.vdocuments.site/reader036/viewer/2022062314/56649da25503460f94a8e2e9/html5/thumbnails/9.jpg)
Let’s ReviewCore Lesson
The numerical expression which would give us the total would be
$4 + ($4 x 2) + ($4 x 22) + ($4 x 23)
$4 + ($4 x 2) + ($4 x 2 x 2) + ($4 x 2 x 2 x 2)
![Page 10: How do you write expressions with exponents to help solve problems? For example, would you rather be paid $4 which doubles daily for four days or accept](https://reader036.vdocuments.site/reader036/viewer/2022062314/56649da25503460f94a8e2e9/html5/thumbnails/10.jpg)
Let’s ReviewCore Lesson
$4 + ($4 x 2) + ($4 x 22) + ($4 x 23)
$4 + ($4 x 2) +
$4 + + + $16 $8 $32
$20 + $40
$60
($4 x 4) + ($4 x 8)
![Page 11: How do you write expressions with exponents to help solve problems? For example, would you rather be paid $4 which doubles daily for four days or accept](https://reader036.vdocuments.site/reader036/viewer/2022062314/56649da25503460f94a8e2e9/html5/thumbnails/11.jpg)
Let’s ReviewCore Lesson
So, which is more profitable? $50 or $4 which doubles each day for 4
days?
![Page 12: How do you write expressions with exponents to help solve problems? For example, would you rather be paid $4 which doubles daily for four days or accept](https://reader036.vdocuments.site/reader036/viewer/2022062314/56649da25503460f94a8e2e9/html5/thumbnails/12.jpg)
In this lesson you have learned how to write a numerical
expression using exponents by interpreting a specific problem.
![Page 13: How do you write expressions with exponents to help solve problems? For example, would you rather be paid $4 which doubles daily for four days or accept](https://reader036.vdocuments.site/reader036/viewer/2022062314/56649da25503460f94a8e2e9/html5/thumbnails/13.jpg)
Let’s ReviewGuided Practice
If you are to be paid $4 which doubles daily each day, how much money would you make on day 10? (Hint: Take a look at the pattern.)
Day Expression $
1 4 4
2 4 • 2 8
3 4 • 22 16
4 4 • 23 32
5
6
7
8
9
10
![Page 14: How do you write expressions with exponents to help solve problems? For example, would you rather be paid $4 which doubles daily for four days or accept](https://reader036.vdocuments.site/reader036/viewer/2022062314/56649da25503460f94a8e2e9/html5/thumbnails/14.jpg)
Let’s ReviewExtension Activities
A population of 50 rabbits triples every two months. Write a numerical expression using exponents that shows what the population of rabbits will be in 6 months.
![Page 15: How do you write expressions with exponents to help solve problems? For example, would you rather be paid $4 which doubles daily for four days or accept](https://reader036.vdocuments.site/reader036/viewer/2022062314/56649da25503460f94a8e2e9/html5/thumbnails/15.jpg)
Let’s ReviewExtension Activities
A population of 50 rabbits triples every two months. Write a numerical expression that could be used to show how many months it would take for there to be over 4000 rabbits.
![Page 16: How do you write expressions with exponents to help solve problems? For example, would you rather be paid $4 which doubles daily for four days or accept](https://reader036.vdocuments.site/reader036/viewer/2022062314/56649da25503460f94a8e2e9/html5/thumbnails/16.jpg)
Let’s ReviewQuick Quiz
A group of 20 bacteria triples in size everyday. What numerical expression shows the number of bacteria on day three?
What numerical expression shows the total number of bacteria at the end of day three?