SOLUTION: -3.5, sqrt (16), -3.55555, -4, 2/3, 0, sqrt 3, 2, -1 1/3, I-2.8I, π, - sqrt 5 List the numbers in the set that are: Natural Whole Negative Integers Rational Irrationa

Algebra ->  Average -> SOLUTION: -3.5, sqrt (16), -3.55555, -4, 2/3, 0, sqrt 3, 2, -1 1/3, I-2.8I, π, - sqrt 5 List the numbers in the set that are: Natural Whole Negative Integers Rational Irrationa      Log On


   

Question 1046208: -3.5, sqrt (16), -3.55555, -4, 2/3, 0, sqrt 3, 2, -1 1/3, I-2.8I, π, - sqrt 5
List the numbers in the set that are:
Natural
Whole
Negative
Integers
Rational
Irrational

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Natural numbers: sqrt%2816%29 and 2

Note: this is the list of positive whole numbers. Also, sqrt%2816%29+=+4
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Whole numbers: sqrt%2816%29, 0 and 2

Note: This is the list of values that don't have decimal parts and are not negative. Also, sqrt%2816%29+=+4

Another side note: The set of whole numbers is basically the set of natural numbers but we include 0.
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Negative numbers: -3.5, -3.55555, -4, -1%261%2F3, -sqrt%285%29

Note: Simply list any number that has a negative in front of it. Keep in mind that |-2.8| = 2.8 is positive in the end. Which means it's not part of the list.
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Integers: sqrt%2816%29, -4, 0, 2

Note: This list consists of whole numbers that are positive, negative or 0. sqrt%2816%29=4
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Rational: -3.5, sqrt%2816%29, -3.55555, -4, 2%2F3, 0, 2, -1%261%2F3, abs%28-2.8%29

Notice how every value in that list above can be written as a fraction of integers
-3.5+=+-35%2F10
sqrt%2816%29+=+4+=+4%2F1
-3.55555+=+-32%2F9 assuming the '5's go on forever
-4+=+-4%2F1
0+=+0%2F1
2+=+2%2F1
-1%261%2F3+=+-4%2F3
abs%28-2.8%29+=+2.8+=+28%2F10

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Irrational: sqrt%283%29, pi and -sqrt%285%29

Every value in this list is a number that CANNOT be written as a fraction of integers. If a number is rational, then it is not irrational. If a number is irrational, then it's not rational.