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

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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

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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.

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**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.

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**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

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**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.

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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.

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**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.

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Real world#2

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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

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**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.

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**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

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**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

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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.

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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

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**(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

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**(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

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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

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Commutative Properties The Commutative Property is when a change in the order of the numbers does not change the answer. For example, addition would be:

Commutative Properties The Commutative Property is when a change in the order of the numbers does not change the answer. For example, addition would be:

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