Yes, the Distributive Property is true over addition and multiplication, and it will continue to until you start studying exotic concepts such as Ring Theory or Field Theory.
Whether or not the distributive property can or should be used depends on what you wish to multiply 43.2 by. For example, if you wish to multiply 43.2 by 10, the distributive property is irrelevant!
10*46 = 10*(40+6) = 10*40 + 10*6 (using the distributive property) = 400 + 60 = 460 Except that to multiply by 10 you should not need the ditributive property!
BEDMAS= brackets, exponents,division,multiplication,addition,subtraction
Yes.
I don't know if it should be called "preference", but if an expression has both multiplication and addition in it, then the multiplication has to be done first. This is only because you'll get the wrong answer the other way, not because there's anything preferable about multiplication.
You should state the property used, such as distributive property of multiplication over addition or addition property of equality, etc.
Whether or not the distributive property can or should be used depends on what you wish to multiply 43.2 by. For example, if you wish to multiply 43.2 by 10, the distributive property is irrelevant!
For addition and subtraction, nothing. For multiplication, nothing provided you are able to use the distributive property efficiently. For division the mixed fraction should be converted to a top-heavy fraction. Although this can help with the other operations, it is not a "must".
when you do distributive property you share whatever is outside the parentheses with what is inside. I'll give you an example: 4(7-6) step1:multiply 4 by 7-4 times 6 (you are sharing the number outside parenthese,4, with the number inside the parentheses,7 and 6. remember to bring down the symbol which is minus. step2: you should get 4*7-4*6. this is you answer. you can check this by... writing the oringinal problem and then write the answer. do order of operations and you should get the same answer on both sides. 4(7-6)=4*7-4*6 4 (1) =28- 24 4= 4 THAT IS CORRECT! you have just completed the distributive property.
For example, (10 + 2) / 2 = (10 / 2) + (2 / 2). This works if the added terms are on the left side of the division side (or the numerator of a fraction). Consider the distribution of multiplication over addition to be the fundamental rule; if you convert the division above to a multiplication, and later you convert the multiplication back to a division, it should be clear why the distributive property works in this case: (10 + 2) / 2 = (10 + 2) x (1/2) = (10 x 1/2) + (2 x 1/2) = (10 / 2) + (2 / 2) Please note that it does NOT work the other way round, that is, if the added terms are on the right of the division sign (denominator of a fraction).
10*46 = 10*(40+6) = 10*40 + 10*6 (using the distributive property) = 400 + 60 = 460 Except that to multiply by 10 you should not need the ditributive property!
BEDMAS= brackets, exponents,division,multiplication,addition,subtraction
Well, honey, the distributive property has been around longer than you and me combined. But if you want a name to credit, how about we give a shoutout to good ol' Al-Khwarizmi, the Persian mathematician who popularized it back in the 9th century. So, there you have it - the distributive property was probably invented over a cup of tea and some serious brainpower centuries ago.
Measurements Addition subtraction Multiplication Division
Yes.
I don't know if it should be called "preference", but if an expression has both multiplication and addition in it, then the multiplication has to be done first. This is only because you'll get the wrong answer the other way, not because there's anything preferable about multiplication.
The Associative Property is when you switch the parenthesis and your results should be the same results (if you didn't you did something wrong). The Associative Property only works for Addition and Multiplication ........NOT DIVISION OR SUBTRACTION!!! Ex: 7+(10+13) 7+23 30 (7+10)+13 17+13 30