A set of numbers is said to be closed under a certain operation if, when you perform the operation on any
two numbers in the set, the result is also a number in the set. Is the set of irrational numbers closed under
addition? Explain.
a. Yes, the set of irrational numbers is closed under addition. For example, the sum of
0.121221222.. and 0.131331333.. is 0.252552555... which is an irrational number.
b. Yes, the set of irrational numbers is closed under addition. The result of adding any two
irrational numbers is an irrational number.
c. No, the set of irrational numbers is not closed under addition. For example, the sum of
and is not an irrational number.
d. No, the set of irrational numbers is not closed under addition. The result of adding any two
irrational numbers is an irrational number.
please also explain how you did this problem above. ^
matching.
a. repeating decimal
b. terminating decimal
c. reciprocal
d. absolute value
e. term
f. coefficient
g. like terms
h. order of operations
1. a rational number in decimal form that has a block of one or more digits that repeats continuously
2. a number multiplied by a variable
3. a part of an expression to be added or subtracted
4. terms with the same variables raised to the same exponents
5. A rule for evaluating expressions:
First, perform operations in parentheses or other grouping symbols.
Second, evaluate powers and roots.
Third, perform all multiplication and division from left to right.
Fourth, perform all addition and subtraction from left to right.
6. a rational number in decimal form that has a finite number of digits after the decimal point
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