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# difference between real numbers and integers

From Wikipedia

Real number

In mathematics, a real number is a value that represents a quantity along a continuum, such as 5 (an integer), 3/4 (a rational number that is not an integer), 8.6 (a rational number expressed in decimal representation), and pi (3.1415926535..., an irrational number). Real numbers are commonly

From Encyclopedia

Number System, Real Number System, Real

Question:i have homework and they want to know the difference between the two (natural and real) numbers

Answers:naturals are counting numbers 1,2,3,4... reals are those plus the negatives, zero, and all the decimals, basically all the numbers you use.

Question:so basically I know that Irrational Numbers can't be written in a fraction and a rational numbers can be written in a fraction. I also know both irrational and rational numbers are real numbers. Is there anything i'm missing? there is a whole section asking whether the number is rational or irrational on my hw and i need to know all the different properties. thanks. :]

Answers:So you are absolutely correct. but as you said rational numbers can be written in a fraction which is not the correct definition. In a fraction we get only positive numbers. But in a rational number we get positive as well as negative integers. for ex; -3/7, -4/5, 4/5 here you should also remember that all fractions are rational numbers but all rational numbers are not fractions. A number which can be expressed in the p/q form where p and q are integers and q is not equal to zero is called a rational number. all others are irrational numbers. and as you said the set of rational and irrational together are called real numbers. hope it is clear to you.

Question:For my Algebra 2 test tomorrow I have to be able to look at a number and list all the characteristics about that number. Reals-no clue Rational- Understand Irrational- Understand Wholes- numbers like 4, 5, 9 etc not 2.34....am I right? Integers- ? Naturals- Numbers that you would start counting at (not 0) ex: 1,2,3,4,5,6.......

Answers:Real numbers are basically actual numbers that exists. That includes rational, irrational, whole, integers, and natural numbers. Rational numbers are numbers able to be put as a fraction. Irrational numbers cannot be put as a fraction (ex: 3.141592) Whole numbers are: 0, 1, 2, 3, 4, 5.... Natural numbers are: 1, 2, 3, 4, 5... (basically 0 is not a natural number) Integers are numbers that are both positive and negative ex: -3, -2, -1, 0, 1, 2, 3, 4 (including 0)

Question:What are some of the differences between addition and multiplication of matrices and addition and multiplication of real numbers?

Answers:Real numbers have the commutative property for both multiplication and addition. Matrices do not have the commutative property for multiplication. Any two real numbers can be added or multiplied. To add two matrices, they must have the same number of rows and the same number of columns. To multiply matrices, the number of columns in the first matrix must equal the number of rows in the second matrix.