SOLUTION: What are four natural numbers? What are three integers that aren't whole numbers? What is an irrational number written as a radical? What is an irrational number written as a decim

Algebra ->  Real-numbers -> SOLUTION: What are four natural numbers? What are three integers that aren't whole numbers? What is an irrational number written as a radical? What is an irrational number written as a decim      Log On


   



Question 895364: What are four natural numbers? What are three integers that aren't whole numbers? What is an irrational number written as a radical? What is an irrational number written as a decimal? What are five rational numbers that are not integers? What are three pairs of numbers with the same absolute value?
Found 2 solutions by richwmiller, JulietG:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
natural numbers
Natural numbers are what you use when you are counting one to one objects. You may be counting pennies or buttons or cookies. When you start using 1,2,3,4 and so on, you are using the counting numbers or to give them a proper title, you are using the natural numbers.
Integers
Integers can be whole numbers or they can be whole numbers with a negative signs in front of them. Individuals often refer to integers as the positive and negative numbers. Integers are -4, -3, -2, -1, 0, 1, 2, 3, 4 and so on.
Whole Numbers
Whole numbers are easy to remember. They're not fractions, they're not decimals, they're simply whole numbers. The only thing that makes them different than natural numbers is that we include the zero when we are referring to whole numbers. However, some mathematicians will also include the zero in natural numbers and I'm not going to argue the point. I'll accept both if a reasonable argument is presented. Whole numbers are 1, 2, 3, 4, and so on.
Irrational Numbers
Irrational numbers don't include integers OR fractions. However, irrational numbers can have a decimal value that continues forever WITHOUT a pattern, unlike the example above. An example of a well known irrational number is pi which as we all know is 3.14 but if we look deeper at it, it is actually 3.14159265358979323846264338327950288419.....and this goes on for somewhere around 5 trillion digits!
Rational Numbers
Rational numbers have integers AND fractions AND decimals. Now you can see that numbers can belong to more than one classification group. Rational numbers can also have repeating decimals which you will see be written like this: 0.54444444... which simply means it repeats forever, sometimes you will see a line drawn over the decimal place which means it repeats forever, instead of having a ...., the final number will have a line drawn above it.

Decimal
The standard Hindu–Arabic numeral system using base ten.

Answer by JulietG(1812) About Me  (Show Source):
You can put this solution on YOUR website!
Do you know what a natural number is? Natural numbers are "counting numbers" or whole numbers (the difference is that whole numbers includes 0). One example would be 14. You can count 14 apples.
.
Integers are like whole numbers, but they also include negatives. It's a trick question -- integers are not fractions.
.
An irrational number is one that cannot be written as a fraction. Pi is a good example. So is the square root of 3. Or the third root of 25.
.
An irrational number does not end, so cannot be written as a decimal.
.
Rational numbers are the opposite of irrational numbers. They can be written as fractions. 1%2F2 or 16%2F19 are examples.
.
Absolute value has you disregard the signs.
|4| = |-4|
They're equal in absolute value.
.
For the future, please post questions one at a time. Thank you.