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Q: Explain how to use the associative properties of addition and multiplication to find sums mentally?

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Explain how you can use the commutative and associative prpoperties to add 19+28+81 mentally.

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.

easy to divide mentally

You use the distributive property every time you use the standard multiplication method, whether mentally or with pencil and paper. In this case, 6 x 53 = 6 x (50 + 3) = 6 x 50 + 6 x 3.

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5*2 is 10 and 10*17 is 170

dont know about associative property but this one is easy in your head. 4x25=100x27=2700

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.

Do the 2 x 50 first. Get 100. Multiply that by 14.

the property which states that for all real numbers a,b,and c their product is always the same, regardless of their grouping

In general, the associative property cannot be used for this purpose. The volume of a prism is the area of cross section multiplied by the length, and except in the case of a rectangular prism, there is no scope for using the associative property.

The exact answer will depend on the details of the prism which is not shown!

Explain how you can use the commutative and associative prpoperties to add 19+28+81 mentally.

if you mean multiplication then 4x25=100 x 27 = 270

The addition or multiplication of a set of numbers is the same regardless of how the numbers are grouped. The associative property will involve 3 or more numbers. The parenthesis indicates the terms that are considered one unit.The groupings (Associative Property) are within the parenthesis. Hence, the numbers are 'associated' together. In multiplication, the product is always the same regardless of their grouping. The Associative Property is pretty basic to computational strategies. Remember, the groupings in the brackets are always done first, this is part of the order of operations.When we change the groupings of addends, the sum does not change:(2 + 5) + 4 = 11 or 2 + (5 + 4) = 11(9 + 3) + 4 = 16 or 9 + (3 + 4) = 16Just remember that when the grouping of addends changes, the sum remains the same.Multiplication ExampleWhen we change the groupings of factors, the product does not change:(3 x 2) x 4 = 24 or 3 x (2 x 4) = 24.Just remember that when the grouping of factors changes, the product remains the same.Think Grouping! Changing the grouping of addends does not change the sum, changing the groupings of factors, does not change the product.*** 4x(25x27) = (4x25)x27***

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.

The patterns and properties to compute mentally 120 times 30 is the numbers 12 and 3 plus the two 0. Multiply 12 by 3 (36) and add the two 0 (3600).