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Yes. This only works for multiplication and addition.
By the associative property of multiplication. 4 * 2 * 2 = 4 * (2 * 2) = 4 * 4
(8 + 6) + 4 = 8 + (6 + 4) Since 6 + 4 = 10, the second sum may be easier than the first.
The associative property is normally invoked in the context of two (or more) occurances of a binary operation. eg (2*3)*4 = 2*(3*4). Here, you could break down 16 into 2*2*2*2 So that 16*20 = 2*2*2*2*20 which, by the ASSOCIATIVE property can also be written as 2*(2*(2*(2*20))) = 2*(2*(2*(40)) = 2*(2*80) = 2*160 = 320
4*25*27 = (4*25)*27 = 100*27 = 2700
4*25 = 100 So 4*25*27 = (4*25)*27 = 100*27 = 2700
The associative property is defined as follows: (a*b)*c = a*(b*c), that is, when carrying out a number of multiplications, it does not matter which multiplications you carry out first. So, you could compute 4*25*27 the hard way as 4*(25*27) = 4*675 and then 4*675 = 2700 but you might note that 4*25 = 100, and so doing that multiplication first makes the whole thing much simpler: 4*25*27 = (4*25)*27 = 100*27 = 2700
No, you cannot have subtraction in the associative property of multiplication because the associative property of multiplication is about multiplication. More to the point, if you're asking whether subtraction is associative, the answer is still no. (2 - 3) - 4 does not equal 2 - (3 - 4)
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.
The Associative Property in math is how the numbers are associated; ex. 2*(3*4) is the same as (2*3)*4.
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no
Division (and subtraction, for that matter) is not associative. Here is an example to show that it is not associative: (8/4)/2 = 2/2 = 1 8/(4/2) = 8/2 = 4 Addition and multiplication are the only two arithmetic operations that have the associative property.
( 2 + 7 ) + 10 = ( 7 + 10 ) + 2 ( 3 * 9 ) * 4 = 3 * ( 9 * 4 ) The associative property means you can move the terms of the expression around without changing the value. Multiplication and addition are both associative.
No, the associative property only applies to addition and multiplication, not subtraction or division. Here is an example which shows why it cannot work with subtraction: (6-4)-2=0 6-(4-2)=4
No. Rearranging numbers [2+3=3+2] is the commutative property. The associative property involves rearranging parentheses - (3 x 4) x 6 = 3 x (4 x 6).