Question

verify the closure property for addition and multiplication of the rational number 15/7 and 8/9

please answer me its very important​

Answer 1

Answer:

16/7 17/7 18/7 10/7 like this up to 8/9

I am not clear

Answer 2

Concept

A set of numbers is closed and completed by arithmetic operations, which is the definition of the closure property. In other words, a number from the set is regarded as closed when an operation is carried out on any two numbers from it and the outcome is the number from the set itself. Any two real numbers can be added, and the result will always be a real number, according to the addition's closure property. According to the multiplication closure property, if any two real numbers, such as a and b, are multiplied, the result will also be a real number.

Given

Given two rational numbers, 15/7 and 8/9.

Find

We have to verify the closure property for the addition and multiplication of rational numbers.

Solution

Now, 15/7 + 8/9 = ((15 * 9) + (8 * 7))/63 = (135 + 56)/63 = 191/63. This is also a rational number.

So, the closure property of addition is verified.

Again, 15/7 * 8/9 = 40/21. This is also a rational number.

So, the closure property of multiplication is verified.

       

Therefore, the closure property for the addition and multiplication of rational numbers is verified as the resultant of addition and multiplication of two given rational numbers is also a rational number.

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