Solve the Nested Arithmetic Expression: 79 - (35 - (-9)) - (10 + 43)

Question

79(35(9))(10+43)=? 79-(35-(-9))-(10+43)=\text{?}

Video Solution

Solution Steps

00:00 Solve
00:03 Always solve parentheses first, even within parentheses
00:08 Note that negative times negative always equals positive
00:15 Calculate the parentheses
00:29 Use the distribution law and split 79 into 70 plus 9
00:35 Use the distribution law and split 44 into 40 plus 4
00:40 Collect terms
00:51 Use the distribution law and split 53 into 50 plus 3
00:55 Collect terms
01:00 And this is the solution to the question

Step-by-Step Solution

To solve this problem, let's simplify the expression 79(35(9))(10+43)79 - (35 - (-9)) - (10 + 43):

First, evaluate the expression inside the first parentheses:

  • 35(9)35 - (-9) is equivalent to 35+935 + 9 (since subtracting a negative number is equivalent to adding its positive counterpart).
    Thus, we have 35+9=4435 + 9 = 44.

Second, evaluate the expression inside the second parentheses:

  • 10+43=5310 + 43 = 53.

Now substitute these values back into the original expression:

  • 79445379 - 44 - 53.

Finally, perform the subtraction sequentially:

  • Calculate 7944=3579 - 44 = 35.
  • Then, calculate 3553=1835 - 53 = -18.

Therefore, the solution to the expression is 18-18.

Checking against the given choices, the correct choice is:

  • Choice 2: 1818- corresponds to 18-18.

Answer

18-