What is 3x4x(10-7)divided by 2?

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Feb 16, 2017

Answer:

Insert your own parentheses when confused

Explanation:

With a problem like this, we want to group terms together.

Let's write this as

#(3 * 4 * (10-7))/2#

Now, we want to do the innermost parentheses first.

#(3 * 4 * (3))/2#

A term with no operations needs no parentheses, so let's remove them.

#(3 * 4 * 3)/2#

Now, we work on the other parentheses #3 * 4 * 3=36#.

Our problem is now #(36)/2#

Again, terms with no operations need no parentheses, so let's remove them. We have #36/2#, which is 18.

Except, maybe we didn't do it in the right order. Maybe it's a trick question. Let's try it differently.

#3*4*((10-7)/2)#

We evaluate the numerator:

#3*4*(3/2)#

And multiply it out:

#12*(3/2) = 36/2 = 18#

So, as long as we evaluate the parentheses before doing anything else, it works out.

How about we write the problem differently a third time?

#3*4*(10-7)*(1/2)#

We can now multiply the 3 and 4:

#12*(10-7)*(1/2)#

Now, we'll multiply the 12 to both terms in the parentheses.

#(120-84)*(1/2)#

Evaluate the parentheses:

#36*(1/2)=36/2=18#

So, you can approach it many ways, but make sure that you follow the order of operations.

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