Solve the Nested Expression: Breaking Down 304 - (94 + (45 - (9 - 35)))

304(94+(45(935)))=? 304-(94+(45-(9-35)))=\text{?}

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Step-by-step video solution

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00:00 Solve
00:03 Always solve parentheses first, even within parentheses
00:10 Note, negative times positive always equals negative
00:15 Note, negative times negative always equals positive
00:34 Note, negative times positive always equals negative
00:46 Note, negative times negative always equals positive
01:01 Solve from left to right, one operation at a time
01:22 Break down 71 into 70 and 1, so it will be easier to solve
01:29 This is the solution to the question

Step-by-step written solution

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1

Understand the problem

304(94+(45(935)))=? 304-(94+(45-(9-35)))=\text{?}

2

Step-by-step solution

To solve the expression 304(94+(45(935))) 304-(94+(45-(9-35))) , we will follow these steps:

  • Step 1: Begin with the innermost parentheses: (935) (9-35) .
    Calculation: 935=26 9 - 35 = -26 .
  • Step 2: Substitute this result into the next part: (45(26)) (45 - (-26)) .
    Calculation: 45+26=71 45 + 26 = 71 (Recall that subtracting a negative number is equivalent to adding its absolute value).
  • Step 3: Substitute this result back into the expression: 94+71 94 + 71 .
    Calculation: 94+71=165 94 + 71 = 165 .
  • Step 4: Substitute this result into the outermost expression: 304165 304 - 165 .
    Calculation: 304165=139 304 - 165 = 139 .

Therefore, the solution to the problem 304(94+(45(935))) 304-(94+(45-(9-35))) is 139 139 .

3

Final Answer

139

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\( 100-(5+55)= \)

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