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Can the subtraction of a rational and an irrational number equal to an irrational number?
No.
Is half of a number considered Subtraction or Division?
Division (by 2).
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
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,
