Let's see if you can be a GM ! Answer this
It's 12. As one mentioned, order of operations. No parenthesis was indicated, and there are no exponents, so multiplication and division come first:
3 + 3 * 3 = 3 + 9 = 12
the english is phrased as a consecutive order. had the OP used the past tense of multiply (multiplied) then yes, your math would be correct.
Since there is no parens, we can only go by grammar which is not enough. The math heirarchy is that multiplication supercedes addition. Therefore the three times three (in the absence of parens) comes first and equals nine. Then add three and you get twelve. 12
I would have to say that from a formal mathematical standpoint the question is ambigous. By convention 3+3*3=3+(3*3) however by just using definitions the notation 3+3*3 should not be used.
Definition:
An operation * on a set M is a function from M^2 to M.
If we let + and * be two operations on R ( we don't know wich but they could be addition and multiplication) the expression 3+3*3 does not make any sense and you would have to write (3+3)*3 or 3+(3*3). The reason for this is that for theese operations there is no conventions concerning order of operations. Now we look at 3+3*3 where + and * really mean addition and multiplication there is a convention about the order of operations to allow you to skip the parenthesis if you want the multiplication to be carried out first. This is ok in most situations, but i would have to say that if you need to be very strict it has to be written (3+3)*3=18 or 3+(3*3)=12.
I would have to say that from a formal mathematical standpoint the question is ambigous. By convention 3+3*3=3+(3*3) however by just using definitions the notation 3+3*3 should not be used.
Definition:
An operation * on a set M is a function from M^2 to M.
If we let + and * be two operations on R ( we don't know wich but they could be addition and multiplication) the expression 3+3*3 does not make any sense and you would have to write (3+3)*3 or 3+(3*3). The reason for this is that for theese operations there is no conventions concerning order of operations. Now we look at 3+3*3 where + and * really mean addition and multiplication there is a convention about the order of operations to allow you to skip the parenthesis if you want the multiplication to be carried out first. This is ok in most situations, but i would have to say that if you need to be very strict it has to be written (3+3)*3=18 or 3+(3*3)=12.
I would have to say that from a formal mathematical standpoint the question is ambigous. By convention 3+3*3=3+(3*3) however by just using definitions the notation 3+3*3 should not be used.
Definition:
An operation * on a set M is a function from M^2 to M.
If we let + and * be two operations on R ( we don't know wich but they could be addition and multiplication) the expression 3+3*3 does not make any sense and you would have to write (3+3)*3 or 3+(3*3). The reason for this is that for theese operations there is no conventions concerning order of operations. Now we look at 3+3*3 where + and * really mean addition and multiplication there is a convention about the order of operations to allow you to skip the parenthesis if you want the multiplication to be carried out first. This is ok in most situations, but i would have to say that if you need to be very strict it has to be written (3+3)*3=18 or 3+(3*3)=12.
The Op's command of asking a basic question of mathematical functions fails to meet the minimum standards reserved for coherent inquiry.
I would have to say that from a formal mathematical standpoint the question is ambigous. By convention 3+3*3=3+(3*3) however by just using definitions the notation 3+3*3 should not be used.
Definition:
An operation * on a set M is a function from M^2 to M.
If we let + and * be two operations on R ( we don't know wich but they could be addition and multiplication) the expression 3+3*3 does not make any sense and you would have to write (3+3)*3 or 3+(3*3). The reason for this is that for theese operations there is no conventions concerning order of operations. Now we look at 3+3*3 where + and * really mean addition and multiplication there is a convention about the order of operations to allow you to skip the parenthesis if you want the multiplication to be carried out first. This is ok in most situations, but i would have to say that if you need to be very strict it has to be written (3+3)*3=18 or 3+(3*3)=12.
Three plus three multiply by three how much in total?