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Updated: 4/28/2022

Wiki User

8y ago

Suppose you were trying to multiply 17 x 5 x 2. The associative property states that (17 x 5) x 2 = 17 x (5 x 2) The second one is easier to do in your head.

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8y ago

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### How can associative property of multiplication can help solve math problems mentally?

You can do the easy bits first. Thus, to calculate 7*5*2, instead of doing 35*2 = 70, you can calculate 7*10 = 70. By itself, the associative property is not as useful as it is in combination with the commutative and distributive properties.

### How do the commutative and associative properties of multiplication could help evaluate the product of 5 multiplied by 17 multiplied by 2 mentally?

5*2 is 10 and 10*17 is 170

### How do commutative and associative properties help solve 5x17x2?

5*17*2 The commutative property allows yu to swap the 17 and 2: = 5*2*17 The associative property allows you to group 5 and 2 to evaluate first = (5*2)*17 = 10*17 = 170

the property says that a+b+c is the same as a+c+b and it is the commutative property of addition.

### How does associative property of multiplication help to calculate products mentally?

For example, evaluate 17*5*20: Method 1: (17*5)*20 = 85*20 = 1,700. Method 2: 17*(5*20) = 17*100 = 1,700. Notice that by first multiplying 5*20 to get 100, the calculation is easy to do in your head. You can also use the commutative property to rearrange a question: 5*21*4 = 5*4*21 = 20*21 = 420

4 = 3 + 1 so 4 + 9 = (3 + 1) + 9 Then, by the associative property, = 3 + (1 + 9) = 3 + 10 = 13

### How can knowing the multiplication properties help you evaluate 5 times 20 times 63?

According to the associative property when more than two numbers are multiplied, the order in which the numbers are multiplied will give the same product.

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### How can family therapy help the mentally retarded?

Family therapy can help relatives of the mentally retarded develop coping skills.

### How is fimding the Area of a rectangle related to Distributive Property?

It is not. You simply multiply length x width.

### How would you use associative property of multiplication to help me solve four multiplied by 25multiplied by 27?

You are free to choose whether to multiply first the left part: (4 x 25) x 27 or the right part: 4 x (25 x 27). Multiplying the left part first is easier; 4 x 25 is 100, and multiplying by 100 can easily be done in your head.

### How are the commutative and associative Properties helpful?

They are useful in speeding up basic arithmetic calculations.The properties allow you to rearrange the arguments of a calculation and the order in which the operations are carried out. So, for example,(5 + 13) + 15 = (13 + 5) + 15 [using the commutative property]= 13 + (5 + 15) [using the associative property]= 13 + 20 = 33.