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

Question

Solve the following problem

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

Video Solution

Solution Steps

00:00 Solve the following expression
00:03 Always solve the parentheses first
00:06 Given that within the parentheses there's only addition/subtraction, solve from left to right
00:16 Between the parentheses there's multiplication
00:22 Any number multiplied by 0 will always equal 0
00:26 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 whilst following the order of operations. Exponents precede multiplication and division, which in turn precede addition and subtraction, and parentheses precede all of the above,

Therefore, we'll start by simplifying the expressions inside of the 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

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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