A decimal number is simply a way of representing a number in such a way that the place value of each digit is ten times that of the digit to its right. A decimal representation does not require a decimal point. Since we normally count in tens, almost all the numbers that we come across are decimal numbers.
The set of real numbers.
The number 1.68 belongs to the subsets of real numbers known as rational numbers and decimal numbers. As a rational number, 1.68 can be expressed as the ratio of two integers (84/50). It is also a decimal number, specifically a terminating decimal, where the digits after the decimal point eventually end.
Yes, it is. Moreover, it is also a rational number. 1.25 * 4 = 5, so 1.25 = 5/4. All rational numbers are real numbers, so 1.25 is real. Any number you can think of, using decimal notation is real. Real numbers are allowed to have an infinity of digits (behind the decimal point).
Real numbers are all numbers which do not contain "i", when "i" represents the square root of -1. All numbers which do contain "i" are "imaginary numbers" and are not real numbers. This means that all numbers you'd ordinarily use are real numbers - all the counting numbers (integers) and all decimals are real numbers. So in answer to your question, all the real numbers that are not whole numbers are all the decimal numbers - including irrational decimals such as pi.
The commutative property of addition applies to all real and complex numbers. It has nothing whatsoever to do with the form in which the number is represented: decimal, binary, etc.
When you go shopping for something you might have to round decimals to find what you have to pay.
No, there is no smallest decimal number. Decimal numbers represent real numbers and between any two real numbers there are infinitely many other real numbers. So, there are infinitely many decimal numbers between 0 and your 1.21: each one will be smaller than 1.21
No, there is no smallest decimal number. Decimal numbers represent real numbers and between any two real numbers there are infinitely many other real numbers. So, there are infinitely many decimal numbers between 0 and your 1.02: each one will be smaller than 1.02
Real numbers.
All real numbers can be represented in the decimal system. Complex numbers can be represented by a pair of numbers in the decimal system.
Almost all numbers that we use in daily life are decimal numbers. The place value of each digit is ten times the place value of the digit to its right. And that is all that is required of decimal numbers. A decimal point is not necessary.
I would be greatly surprised if you will find any examples that ude real numbers - whether or not it is in real life!
All decimals are real numbers and all real numbers can be expressed as decimals.
Decimal numbers are real numbers. In C and C++ we use the float, double and long double data types to represent real numbers.
The set of real numbers.
A real number is any number. Real numbers can be whole numbers or numbers which include a decimal point.
Yes repeating decimals are real numbers. They can fall under the category of rational numbers under real numbers since their repeating decimal patterns allows them to be converted into a fraction. Nonreal numbers are imaginary numbers which are expressed with i, or sqrt(-1).