How can the properties of operations be used to solve problems involving integers and rational numbers?

Properties of operations help a lot in solving problems related to integers and rational numbers.

Step-by-step explanation:

There are four properties of operations in math. These properties are applicable in case of addition and multipication but not in case of division and subtraction.

These properties are used to solve problems involving rational numbers as well as integers.These properties are associative,commutative, distributive and identity.

commutative property is A+B=B+A

                                  ⇒5+4=4+5

and                                A*B=B*A

                                  ⇒5*4=4*5

associative property ( 32+14)+7= 32+(14+7)

                                   ( 8*9)*7= 8*(9*7)

Identity property is 35+0= 35

                                    1*58=58

distributive property is 15*21

                                   ⇒  15*(20+1)

                                   ⇒15*20+15*1

                                    15*21

                                  ⇒ 15*(22-1)

                                  ⇒15*22-15*1

blue marble is 15 times out of 50 = 15/50 reduces to 3/10

landing on tails is 24 out of 50 = 24/50 reduces to 12/25

to find the probability of both multiply together:

3/10 x 12/25 = 3 x 12 / 10 x 25 = 36/250

if you multiplied the numerator and denominator by 10 you get 360/2500.

the answer is 360/2500

so then what are you asking?

step-by-step explanation: