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Can the subtraction of a rational and an irrational number equal to an irrational number?
No.
What is closing a rational number under addition And can you close them under subtraction multiplication and division?
Rational numbers are numbers that can be expressed as a fraction a/b where a and b are both integers and b is not equal to zero. All integers n are rational numbers because they can be expressed as the fraction n/1. Rational numbers are closed under addition, subtraction, multiplication and division by a non-zero rational. To be closed under addition, subtraction, multiplication and division by a non-zero rational means that if you have two rational numbers, when you add, subtract, multiple or divide them, you will get another rational number. For example, take the rationals 1/3 and 4/3. When you add them together, you get another rational number, 5/3. Same with the other operations. 1/3 - 4/3 = -1 (remember integers are rational, too) (1/3) * (4/3) = 4/9 (1/3) / (4/3) = 1/4
Is half of a number considered Subtraction or Division?
Division (by 2).
When evaluated which expression has a result that is a rational number?
An expression produces a rational number when its value can be expressed as a fraction ( \frac{a}{b} ), where ( a ) and ( b ) are integers and ( b \neq 0 ). For example, the expression ( 3 + 2 ) evaluates to ( 5 ), which is rational, as it can be represented as ( \frac{5}{1} ). Similarly, any expression involving addition, subtraction, multiplication, or division of rational numbers (as long as division by zero is avoided) will yield a rational result.
Why are rational numbers closed in subtraction?
Because when one rational number is subtracted from another rational number the result is a rational number. Don't forget that integers (ℤ) are a subset of rational numbers (ℚ).
Is 8 over 9 an irrational number?
Any addition, subtraction, multiplication, or division of rational numbers gives you a rational result. You can consider 8 over 9 as the division of 8 by 9, so the result is rational.
Why doesn't the commutative property work for subtraction?
you can not use commutative property for subtraction because if you switch them around you will end up with a negative number.
Explain when an binary operation is commutative?
when we add and substract any number * * * * * "substract" is not a word, and in any case, subtraction is not commutative. A binary operation ~, acting on a set, S, is commutative if for any two elements x, and y belonging to S, x ~ y = y ~ x Common binary commutative operations are addition and multiplication (of numbers) but not subtraction nor division.
Can the subtraction of a rational and an irrational number equal to an irrational number?
No.
What is Identity element of subtraction of rational number?
It is 0.
What is closing a rational number under addition And can you close them under subtraction multiplication and division?
Rational numbers are numbers that can be expressed as a fraction a/b where a and b are both integers and b is not equal to zero. All integers n are rational numbers because they can be expressed as the fraction n/1. Rational numbers are closed under addition, subtraction, multiplication and division by a non-zero rational. To be closed under addition, subtraction, multiplication and division by a non-zero rational means that if you have two rational numbers, when you add, subtract, multiple or divide them, you will get another rational number. For example, take the rationals 1/3 and 4/3. When you add them together, you get another rational number, 5/3. Same with the other operations. 1/3 - 4/3 = -1 (remember integers are rational, too) (1/3) * (4/3) = 4/9 (1/3) / (4/3) = 1/4
Is half of a number considered Subtraction or Division?
Division (by 2).
When evaluated which expression has a result that is a rational number?
An expression produces a rational number when its value can be expressed as a fraction ( \frac{a}{b} ), where ( a ) and ( b ) are integers and ( b \neq 0 ). For example, the expression ( 3 + 2 ) evaluates to ( 5 ), which is rational, as it can be represented as ( \frac{5}{1} ). Similarly, any expression involving addition, subtraction, multiplication, or division of rational numbers (as long as division by zero is avoided) will yield a rational result.
Why are rational numbers closed in subtraction?
Because when one rational number is subtracted from another rational number the result is a rational number. Don't forget that integers (ℤ) are a subset of rational numbers (ℚ).
What is an algebraic expresion?
an algebraic expression is an expression built up from constants, variables, and a finite number of algebraic operations (addition, subtraction, multiplication,division and exponentiation to a power that is a rational number). For example,
Subtracion of a whole number is communative?
Who knows - there appears to be no such word as communative! So maybe it is communative and maybe it is not.If, however, you meant commutative which, is a mathematical term, then the answer is no, subtraction is not commutative.
Is it true that The difference of two rational numbers always a rational number?
Yes. The rational numbers are a closed set with respect to subtraction.
