Questions on Algebra: Real numbers, Irrational numbers, etc answered by real tutors!

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Tutors Answer Your Questions about real-numbers (FREE)


Question 240882: what are the properties of real numbers
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Question 240889: prime factorization???
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Question 239507: how would you begin to solve this problem 1+i over 1+2i + 1-i over 1-2i
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Question 240280: the simplest form of ratio for 49:35
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Question 239795: 1.integer
_______=undefined
0
2.what kind of integer is ZERO?

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Question 239796: 1.integer
_______=undefined
0

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Question 239571: What is a rational number?
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Question 238854: If Jessica only spent 20% instead of the 25% allotment for food in May of 2001, how much did she save?
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Question 238843: Find the distance between the given numbers.
(a) 7/15 and -1/24

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Question 238539: How do you simplify 2{[4(a-4)+18]-[3(3a-2)+5]}

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Question 238188: Knowing that √2 is an irrational number, argue that √2/2 is also an irrational number.
Please help. Even just some ideas would be great. Thank you!

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Question 238188: Knowing that √2 is an irrational number, argue that √2/2 is also an irrational number.
Please help. Even just some ideas would be great. Thank you!

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Question 238194: Write each of the following square roots in the form a√b, where a and b are integers and b has the least value possible. For example, √180=6√5.
1. √360
2. √40
3. √240
Please, please help! Thank you.

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Question 236989: What is a decimal between 1/4 and 1/3?
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Question 235842: what is the real number between sqaure root of 50 and square root of 55?
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Question 235390: trains a and b are traveling in the same direction on parallel tracks. train a is traveling at 80 miles per hour and train b is traveling at 100 miles per hour. train a passes a station at 3:10 pm. If train B passes the same station at 3:22 pm at what time will train b catch up to a.

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Question 235162: Can you simplify this problem?

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Question 235162: Can you simplify this problem?

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Question 235162: Can you simplify this problem?

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Question 235115: I understand that the irrationals are not closed under addition, mult, div, subtr, etc. However,
Is it possible to construct a line segment on a cartesian coordinate system such that all points on the line have irrational values for the y coordinate when x is rational (i'm using the relationship y = mx + b)? It's okay if there are restrictions, like, the segment length must be transcendental or something.
I'm looking for non-zero-length line-segments that avoid all points with rational coordinate pairs.
I also don't expect this to be true for ALL line segments with, say, irrational coordinates for the endpoints. I'm just interested in constructing a line segment of non-zero length that has only irrational values for y when x is rational. If x is irrational i won't care about y - as long as x and y are never rational together.
I don't know how constraints are explored in mathematics, nor how one looks for solutions to a problem like this, nor how one goes about testing for the existence of such a construction, let alone constructing one. if this problem is in a well-known class of problems i can research that myself if somebody can help me identify the class.

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Question 235111: A real number between 5/9 and 6/9?
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Question 234802: 6x-(4-3x)
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Question 234588: Whatwould order would these numbers be from least to greatest 2.3, .23, 23??
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Question 234234: Can you show me how to slove these problems?:





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Question 233680: one base of a trapezoid is three less than twice the length of the other base. The altitude of the trapezoid is 14 inches. if the area of the trapezoid is 63 square inches, find the length of each base
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Question 233644: A rectangle's width is 1 meter more than half of its length. Find the dimensions if the perimeter measures 53 meters.
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Question 233353: how can you tell when an equation has a solution of all real numbers?
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Question 233271: i want to know how youh turn decimals into percents | or the other way around.. or turn fractions into percents/ decimals ?
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Question 233277: Mark every set that 1/2 is a member of.
Whole Numbers
Integers
Rational Numbers
Real Numbers


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Question 229094: Which of the following is equal to 5.93 x 10^-2

why the quiz i took says the right anwer is 0.0593 instead of 593.00 or just 593? why are the 0 in the left side? :S

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Question 232292: find the LCM of 8,12,and72

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Question 232144: -(a+2b)+4(a+2b)-2(a+2b)
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Question 231490: How many different 5-card poker hands would contain only cards of a single suit?
I know there are 52 cards in a deck and there are 4 different suits with 13 cards in each suit. From here, I am lost.

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Question 230304: I am supposed to show that the number is rational by writing it as a quotient of two integers. I am not show how to do that in the number 0.3 Thanks! 0.3
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Question 229888: # 679
#308
#214
Thank you

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Question 229306: when is the answer all real numbers?
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Question 227884: (18)^56 * (18)^-14=
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Question 226481: the sum of two consecutive intergers is 59. find the values of the two intergers
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Question 226011: What is x in 17=2(3x+1)-x?
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Question 226000: For three consecutive odd integers, the sum of the least and greatest is 146. What is the sum of all three integers?
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Question 226000: For three consecutive odd integers, the sum of the least and greatest is 146. What is the sum of all three integers?
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Question 225018: find the product of -3(-5)(-4X), justify the steps

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Question 223632: If a clock strikes every hour the same amount of times as that hour, how many strikes in 24hours.
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Question 222619: how do i translate the difference between the square of c and the total of c and fourteen into a variable expression
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Question 222567: between them, terry and shelly have 50 cassettes. if shelly has more than two thirds as many cassettes as terry, at least how many cassettes does shelly have? at most how much does terry have
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