Question

using rational number-4/11and 5/12
show that rational numbers are closed under addition, subtraction multiplication and division​

Answer 1

Answer:

-4/11 + 5/12 = -48/132 + 55/132 = 7/132

7/132 is also a rational number. Hence, rational numbers are closed under addition.

-4/11 - 5/12 = -48/132 - 55/132 = -103/132

-103/132 is also a rational number. Hence, rational numbers are closed under subtraction.

-4/11 × 5/12 = -5/33

-5/33 is also a rational number. Hence, rational numbers are closed under multiplication.

-4/11 ÷ 5/12 = -4/11 × 12/5 = -48/55

-48/55 is also a rational number. Hence, rational numbers are closed under division.