1. Examples.
By: Bailey Garrison, Keaton Devening, Christian Curtner, Kaylee Schnelten, Lucas Gardner, Caleb Love, Noha Duam

2. Examples 2.1
Absolute values, when a negative number is put into brackets they automatically become positive.
When the negative sign is outside the brackets the number stays negative.
|-32|= +32
-|12|= -12

3. Examples.2.2
Adding real numbers. To add two numbers with the same sign, add their absolute values. The sum has the same sign as the numbers added.
8+7=15, -6+10=-16
To add two numbers with different signs, subtract the lesser absolute value from the greater absolute value. The sum has the same sign as the number with the greater value.

4. examples. 2.3 A-b=a+(-b) Now you plug in the numbers. -12-19=-12+(19)
Subtracting real numbers, to subtract a from b add the opposite of b to a.
A-b=a+(-b)
Now you plug in the numbers.
-12-19=-12+(19)
The answer is -31.

5. Examples. 2.4 Multiplying real numbers.
The product of two real numbers with the same sign is positive. The product of two real numbers with different signs is negative.
3(4)=12
-6(-3)=18
2(-5)=-10
-7(2)=-14

6. Examples 2.5 Applying the distributive property.
You need to know the terms, they are the constant terms and like terms.
Then you have to draw your arcs.
2(x-6)
2x-12
You have to multiply each number by 2.

7. Examples 2.6
Diving real numbers, to divide real numbers you need to use the multiplicative inverse.
The product of a nonzero number and a multiplicative inverse is 1.
A*1/4=1/4*a
8*1/8=1
The eights cancel out.

8. Examples 2.7 Finding square roots and comparing real numbers.
A square root is where you can have a number times its self to give you another number.
Like the square root of 36 is 6. because 6*6=36
A perfect square is the square of an integer.

9. Real world#2

10. T
he temperature in your city at 6A.M. was -8°F and increased by 15°F by noon. What was the temperature an noon?
Increase means to add (+)
= Noon Temperature

11. Real world problem 3-7-2+15=9 FOOTBALL They gained 9 yards overall.
In Four Plays a football team gains 3 yards, loses 7 yards, loses 2, and gains 15 yards. How many yards did the team gain after four plays? =9
They gained 9 yards overall.

12. You have a coupon for $2 off the regular cost per movie rental
You have a coupon for $2 off the regular cost per movie rental. You rent 3 movies, and the regular cost of each rental is the same. Write an equation that gives the total cost c ( in dollars)as a function of the regular cost R (in dollars) of a rental. Then find the total cost if a rental regularly cost $3.99.
Write a verbal mode. Then write an equation. Total cost = Numbers of movie rented* (Regular cost of a rental- Discount per movie)
C=3(r-2) or C=3r-6
Find the value of C when r = $3.99. C=3($3.99-2)
$ =$5.97 The total cost is $5.97

13. You have a coupon for $2 off the regular cost per movie rental
You have a coupon for $2 off the regular cost per movie rental. You rent 3 movies, and the regular cost of each rental is the same. Write an equation that gives the total cost c ( in dollars)as a function of the regular cost R (in dollars) of a rental. Then find the total cost if a rental regularly cost $3.99.
Write a verbal mode. Then write an equation. Total cost = Numbers of movie rented* (Regular cost of a rental- Discount per movie)
C=3(r-2) or C=3r-6
Find the value of C when r = $3.99. C=3($3.99-2)
$ =$5.97 The total cost is $5.97

14. Real world Example
A guitar tuner is a device that tunes a guitar string to its exact pitch. Some tuners use the measure cents to indicate how far above or below the exact pitch, marked as 0 cents, the string tone is. Suppose that one string tone measures -3.4 cents, and a second string tone measures -3.8 cents. Which string tone is closer to the exact pitch? Explain.
-3.4 is the absolute value of -3.4 is less than absolute value of -3.8, so it is closer to 0, the exact pitch.

15. Real word problem
An investor purchases 50 shares of a stock at $3.50 per share. The next day, the change in value of a share of stock is -$.25. What is the total value of the shares the next day?
Total value = original price per share * #’s of shares + Change in price per share * #’s of share
Original price = ($3.50)(50) = $175
Change in price = (-$.25)(50)= -$12.50
Total value = (3.50)(50)+(-0.250(50)
= (-12.50)=
The total value is $162.50

16. (Section2.7 )A Problem for the farm
A farm in Dallas Texas is 250,000 sq ft what is the farm on one side
The answer is 500

17. (Section 2.7)This is an ex. of a regular problem
What is the sq root of 36 6
Answer and worked out solution 36 sq. root= 6

18. Freezing problem an average temp in point barrow Alaska is -35 degrees the temp of the last week were – 32 – 32 what is the average temp for last week
Divide real numbers
The answer is -17.5