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Is the subset H of 0 1 consisting of all decimals that are 100 digits long infinite or finite?
It's finite (although very big). If a decimal between 0 and 1 is exactly 100 digits long, then there are 10 ways to choose the first digit, 10 ways to choose the second, and so on. This gives us 10100 ways to choose all 100 digits, which is very large (it's a googol, in fact) but not infinite.
What else can I help you with?
The set of all counting numbers less than one million is it finite or infinite?
Finite.
Is 0.75 a reapeating decimal or a terminating decimal?
Terminating
What is the difference of finite and infinite?
its 2 types of numbers Finite numbers: have an end. they can be extremely long, but as long as they have an end at some point they are finite Infinite numbers never end. 1/3 is infinite, because the 0,3333 continues forever without even reaching exactly 1/3. 1/4 is finite, because it is exactly 0,25. So basically infinite numbers can never be written down exactly (in a decimal way), no matter how much paper you use, whereas finite numbers can.
Is 0.144 a rational number?
Since it has a finite number of decimals, it is rational.
Is the intersection of two infinite sets always an infinite set?
No. It can be infinite, finite or null. The set of odd integers is infinite, the set of even integers is infinite. Their intersection is void, or the null set.
What are terminating decimals?
They are decimal representations of numbers which stop after a finite number of digits (or continue with an infinite string of 0s).
Why is 3.14 rational but π is not?
3.14 has a finite number of digits. All numbers with a finite number of digits are rational. Pi has an infinite number of digits, AND the digits don't repeat in a regular pattern. (Numbers with repeating decimals are rational as well.)
What is finite decimal?
Pressumably that refers to the fact that the number of decimals is finite (not infinite). For example, if you divide 1 / 8, you get a finite number of decimals: 0.125 It ends there. Any further decimal digits would be zero, and can be omitted. On the other hand, if you divide 1 / 3, you get: 0.33333... The 3s continue indefinitely.
Does pi represent a finite or infinite number?
Pi is an irrational number. As such, it has an infinite number of digits.
Is -46.27 a rational number?
ANY number with a finite number of decimals (and some that have an infinite number of decimals) are rational.
What is the difference between a terminating and a repeating decimal?
A terminating decimal reaches an end after a finite number of digits whereas a repeating decimal, after a finite number of digits, has a string of decimals (also of finite length) that repeats forever. Thus 1.2356 is a terminating decimal. 1.456333... is a repeating decimal with the digit 3 repeating an infinite number of times. So also is 23.56142857142857...... where the string 142857 repeats to infinity. In fact, terminating decimals may be viewed as repeating decimals with zero repeating infinitely.
What is the definition of repeating decimals in mathematics?
Repeating decimals consist of a fixed string of digits which repeat infinitely in the decimal representation of a number. These may start anywhere after a finite number of digits.
Is 0.692 rational or irrational?
ANY number with a finite number of decimal digits is RATIONAL.(Also, numbers with an infinite number of decimals may be rational - in which case the digits repeat - or irrational.)
What are examples of finite and infinite sets?
Some finite numbers in a set: the number of digits on your hand, the number of seats on a bus, and the number of people on earth. Some infinite numbers in a set: the number of positive integers and the number of digits in pi.
Is 40 a rational or irrational number?
Any whole number, any number with a finite number of decimals, and some numbers with an infinite number of decimals, are rational.
How many place values for pi?
infinite number of digits after the decimal point -- pi does not have a finite value.
What does decimals have that fractions don't?
In theory, infinite, non-recurring decimals can represent irrational number whereas fractions cannot do that. However, any non-recurring decimal number can be expressed for only a finite number of digits and so this theoretical difference cannot be attained in reality.
