Question

Verify the property p × q = q × p of the rational numbers using p =5/28 and q=49/35

Answer 1

The commutative property of multiplication is verified for the case when p =5/28 and q=49/35 because we get p × q = 0.25 =  q × p

What is the difference between verification and proof?

Proof usually is generalized, ie, it applies for all possible cases of the given condition, or a large set of cases. But vertification is a check for single special case.

For this case, we've to verify that p × q = q × p when p =5/28 and q=49/35

For p =5/28 and q=49/35 we get:

$p \times q = \dfrac{5}{28} \times \dfrac{49}{35} = \dfrac{5 \times 49}{28 \times 35}\\\\\\p \times q = \dfrac{245}{980} = 0.25$

Also, we get:

$p \times q =\dfrac{49}{35} \times \dfrac{5}{28} = \dfrac{49 \times 5}{35 \times 28}\\\\\\p \times q = \dfrac{245}{980} = 0.25$

Thus, we get: p × q = 0.25 =  q × p

Hence, verified.

Thus, the commutative property of multiplication is verified for the case when p =5/28 and q=49/35 because we get p × q = 0.25 =  q × p

Learn more about commutative property of multiplication here:

https://brainly.com/question/778086

#SPJ1