Solve: (9+7+3)(4+5+3)(7-3-4) - Expression Evaluation Challenge

Question

(9+7+3)(4+5+3)(734)= (9+7+3)(4+5+3)(7-3-4)=

Video Solution

Solution Steps

00:00 Solve
00:03 Always solve parentheses first
00:06 Because in parentheses there's only addition/subtraction, solve from left to right
00:16 Between parentheses there's multiplication
00:22 Any number multiplied by 0 will always equal 0
00:26 And this is the solution to the question
00:30 Any number multiplied by 0 will always equal 0!

Step-by-Step Solution

Let's simplify this expression while following the order of operations which states that exponents come before multiplication and division, which come before addition and subtraction, and that parentheses come before all of these,

Therefore, we'll start by simplifying the expressions in parentheses first:
(9+7+3)(4+5+3)(734)=19120 (9+7+3)(4+5+3)(7-3-4)= \\ 19\cdot12\cdot0

Now we'll calculate the multiplication result step by step from left to right, remembering also that multiplying any number by 0 gives a result of 0:

19120=2280=0 19\cdot12\cdot0 =\\ 228\cdot0 =\\ 0

Note that since the commutative property of multiplication applies, and in the expression we simplified above there is multiplication between all terms, the order of operations in this calculation doesn't matter (it's not necessary to perform the leftmost multiplication first etc. as we did), however, it is recommended to practice performing operations from left to right as this is the natural order of arithmetic operations (in the absence of parentheses, or other preceding arithmetic operations according to the order of operations mentioned at the beginning of this solution)

Therefore, the correct answer is answer B.

Answer

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