Question

(-3/8) + 1/7 = 1/7 + (-3/8) is an example to show that:
a) Addition of rational numbers is commutative.
b) Rational numbers are closed under addition
c) Addition of rational number is associative
d) Rational numbers are distributive under addition​

Answer 1

a) Addition of rational numbers are commutative.

(- 3/8) + 1/7 = 1/7 + (- 3/8) is an example to show that addition of rational numbers are commutative.

Step-by-step explanation:

• The numbers which are expressible in the form a/b, where a, b are integers with non-zero b. The reason b being non-zero, is that if b = 0, the division by 0 is undefined or indeterminate when a is also 0.

• When we add to rational numbers, their sum is also rational and thus rational numbers are closed under addition. But here, we do not intend to define the closer property.

• We see that, in the given expression, (- 3/8) and 1/7 are interchanging their places yet their sum is equal. This is commutative property.

• The commutative property holds for any number, real or complex.

#SPJ3

Answer 2

(-3/8) + 1/7 = 1/7 + (-3/8) is an example to show that Addition of rational numbers is commutative

Given :

(-3/8) + 1/7 = 1/7 + (-3/8)

To find :

(-3/8) + 1/7 = 1/7 + (-3/8) is an example to show that:

a) Addition of rational numbers is commutative.

b) Rational numbers are closed under addition

c) Addition of rational number is associative

d) Rational numbers are distributive under addition

Concept :

Commutative property under addition of rational numbers states that for two integers a and b

a + b = b + a

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is (-3/8) + 1/7 = 1/7 + (-3/8)

Step 2 of 2 :

Mention the property used

We know that Commutative property under addition states that for two integers a and b

a + b = b + a

We take a = - 3/8 , b = 1/7

Then above becomes (-3/8) + 1/7 = 1/7 + (-3/8)

∴ (-3/8) + 1/7 = 1/7 + (-3/8) is an example to show that Addition of rational numbers is commutative

Hence the correct option is a) Addition of rational numbers is commutative.

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ Apply the distributive property to create an equivalent expression. 5*(−2w−4)

https://brainly.in/question/33967867

2. Complete the following product (x-3)(x^(2)+3x+9)

https://brainly.in/question/25709643

#SPJ3