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If you're selling flour in your grocery store for $1.00 a pound, and I come in and ask for 24 ounces of flour,
that's a pound and a half. What are you going to do ?
--Tell me can only buy either one pound or two pounds, nothing in between ?
Phooey! You just lost a customer.
-- Are you going to charge me $1 for one pound and let me have the other 1/2 pound free ?
You won't stay in business very long that way.
-- Are you going to charge me $2 for the pound and a half ? Phooey again. You just lost a customer.
You have to be able to handle fractions of a pound, and fractions of a dollar.
What else can I help you with?
Why do you need to know about integers?
What you need to know about integers is that integers is the name for the group of numbers that include whole numbers and negative numbers. But integers DO NOT include fractions.
How many digits do you need to write if you write all numbers from 0-1450?
You would need infinitely many digits to write all numbers. However, to write all whole number (integers) you would need 4243.
When would you use decimals?
Whenever the numbers that I need to work with are not integers.
When do we use integers?
Integers are whole numbers and are used constantly, especially when, before I retired from work, I would check that my wage package (wage slip) was correct! So while 1, 2, 3, or -1, -2, -3 are integers, the decimals 11.2, 234.55 or -11.2, -234.55 are not.Every time you need to use 1, 2, 3, and so on in maths, or even counting your money to ensure you have enough to get the bus home rather than having to walk, you are using integers!
What are the numbers between 1 are prime numbers?
There can be no numbers between a single integer. You need two integers to define an interval!
Why do you need composite numbers?
So the prime numbers don't bump into each other.
What is the importance of integers?
-- Integers are very useful when you need to count things. -- If you are running short of decimal points and fraction bars, then integers are definitely the best numbers to use, since they don't need any of those.
Is it true the set of whole numbers includes zero but the natural numbers do not?
There really isn't a uniform, generally accepted, definition for "whole numbers", or even for "natural numbers". Traditionally, "natural numbers" means {1, 2, 3, ...}. However, more recently, it was seen convenient to include zero, so "natural numbers" would mean the set {0, 1, 2, 3, ...}. In the case of "whole numbers", the situation is even worse; some define it to include not only zero, but also negative numbers. Others don't include negative numbers. Suggestion: When you need to avoid confusion, use non-ambiguous names such as: * "Integers" for {... -3, -2, -1, 0, 1, 2, 3, ...} * "Positive integers" for {1, 2, 3, ...} * "Non-negative integers" for {0, 1, 2, 3, ...}
What is the LCM of 0.5?
You need at least two numbers to find an LCM and they have to be integers, not decimals.
What makes a number rational?
A rational number is one that can be expressed as ratio(or fraction) of two integers: given integers a & b (with b ≠ 0), then the fraction a / b (or a ÷ b) will be a rational number. We need to specify that b not equal to zero, as division by zero is not defined (well not for most math applications).So irrational numbers such as pi, e, and square root of 2: cannot in any way be resolved into a fraction of two integers. All rational numbers can. Examples are:0 is rational, let a = 0, b = 1, or any other non-zero integer: 0/1 = 0Whole numbers are rational: 1/1 = 1; 2/1 = 2; 100/25 = 4, etc.Negative integers are also rational: (-4)/(2) = -2, or (20)/(-5) = -4All fractions (proper and improper) which have integers in the numerator, and non-zero integer in denominator, as well as mixed numbers are rational {positive and negative} will be rational numbers.
Why do whole numbers need an extension?
The first need arose when it was found that the set of whole numbers was not closed under division. That is, given whole numbers A and B (B non-zero), that, in general, A/B was not a whole number - but a fraction.
What is the same about a fraction and a decimal?
They are representations of numbers which need not be whole numbers.
