which rational number are closed onder with the addition , subtraction , multiplicationand division
Answers
Step-by-step explanation:
The rational numbers are the set of numbers which can be expressed as a ratio
(a fraction) between two integers.
• Integers are rational numbers since 5 can be written as the fraction 5/1.
• Decimals which terminate are rational numbers. 8.5 = 85/10
• Decimals which have a repeating pattern are rational numbers. 1/3 = 0.3333333...
• The rational numbers are "closed" under addition, subtraction, and multiplication. Under division, we run into the problem of division by 0, which makes the statement that "the rationals are closed under division" false. Some texts state that "the rationals are closed under division as long as the division is not by zero" which is a true statement.
Irrational Numbers:
• The irrational numbers are the set of number which can NOT be written as a ratio (fraction).
• Decimals which never end nor repeat
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