Question

The numerical expression 3/8+(-15/7) = -19/56 shows that

i. rational numbers are closed under addition

ii.rational numbers are not closed under addition

iii. rational numbers are closed under multiplication

iv.addition of rational numbers is not commutative​

Answer 1

Answer:

I) rational numbers are closed under addition

Step-by-step explanation:

rational numbers are closed under addition

Answer 2

The numerical expression 3/8 + (- 15/7) = - 19/56 shows that rational numbers are closed under addition

Given :

The expression 3/8 + (- 15/7) = - 19/56

To find :

The numerical expression 3/8 + (- 15/7) = - 19/56 shows that

i. rational numbers are closed under addition

ii. rational numbers are not closed under addition

iii. rational numbers are closed under multiplication

iv. addition of rational numbers is not commutative

Solution :

Step 1 of 2 :

Write down the given expression

Here the given expression is

3/8 + (- 15/7) = - 19/56

Step 2 of 2 :

Choose the correct option

Closure property under addition for the set of rational numbers states that , if a and b are two rational numbers then a + b is also a rational number

3/8 and (- 15/7) are two rational numbers

Also - 19/56 is a rational number

Thus above gives 3/8, (- 15/7) are two rational numbers and - 19/56 is the number obtained after addition is also a rational number

So the given numerical expression 3/8 + (- 15/7) = - 19/56 is an example of rational numbers are closed under addition

Hence the correct option is i. rational numbers are closed under addition

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