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Question 900031: 1. is negative5 over 6 a whole natural interger irrational rational or real number?
2.is 39.99 a whole natural interger irrational rational or real number?
3.square root of 5 a whole natural interger irrational rational or real number?
4.-80 a whole natural interger irrational rational or real number?
5.12 over 3 a whole natural interger irrational rational or real number?
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! the following link will help you find what you want.
http://www.mathsisfun.com/sets/number-types.html
my answers are shown below:
1. is negative5 over 6 a whole natural integer irrational rational or real number?
i believe this is rational because it is a ratio of two integers.
2.is 39.99 a whole natural integer irrational rational or real number?
this is a rational number since it can be expressed as a ratio of two integers. the fractional equivalent would be 3999/100.
3.square root of 5 a whole natural integer irrational rational or real number?
square root of 5 is an irrational number because it cannot be expressed as a ratio of two integers other than 5 divided by 1. division by 1 doesn't count.
4.-80 a whole natural integer irrational rational or real number?
-80 is an integer. it not a whole number or a natural number because neither of those can be negative.
5.12 over 3 a whole natural integer irrational rational or real number?
this is actually a rational number because 5.12 can be expressed as a ratio of two integers and that divided by 3 can also be expressed as a ratio of integers.\
5.12 = 125 / 25 and (128 / 25) / 3 equals 125 / 75.
definition of a natural number:
a positive integer or zero.
some definitions do not include 0.
other do, such as this one.
definition of a whole number:
Also called counting number. one of the positive integers or zero; any of the numbers (0, 1, 2, 3, …).
here's another definition that does not include 0 in the set of natural numbers.
Natural numbers: the counting numbers {1, 2, 3, .... }
Whole numbers: zero, plus the counting number
{0, 1, 2, 3, ... }
Integers: the negative and positive whole numbers
{... -3, -2, -1, 0, 1, 2, 3, ... }
Rational numbers: Numbers of the form m/n, where m and n are integers and n is non-zero. (Note: All whole numbers are rational numbers because they can be expressed as themselves over 1, i.e. 5 = 5/1, 0 = 0/1, 1003 = 1003/1)
Irrational numbers: Numbers which are not rational, and whose decimal representation neither terminates nor repeats (example: PI, sqrt(2) ).
Real numbers: The set of all rational and irrational numbers.
Complex numbers: For i^2 = sqrt(-1), all numbers of the form
a + bi, where a and b are real numbers.
All natural numbers are whole numbers.
All whole numbers are integers.
All integers are rational numbers.
All rational numbers are real numbers.
All irrational numbers are real numbers.
All real numbers are complex numbers (i.e. can be expressed as "a + 0i".
All irrational numbers are real numbers.
All
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