Solve Integer Arithmetic Expression
We need to evaluate the expression: $ \{8 - (28 - 53)\} \div \{-4 \times 5 - (-9)\} $
Follow the order of operations (PEMDAS/BODMAS): Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
Simplify Numerator
First, calculate the value inside the first main bracket:
- Calculate the innermost parenthesis: $28 - 53 = -25$.
- Substitute this back into the expression: $8 - (-25)$.
- Perform the subtraction: $8 - (-25) = 8 + 25 = 33$.
The numerator is 33.
Simplify Denominator
Next, calculate the value inside the second main bracket:
- Perform the multiplication: $-4 \times 5 = -20$.
- Substitute this back: $-20 - (-9)$.
- Perform the subtraction: $-20 - (-9) = -20 + 9 = -11$.
The denominator is -11.
Perform Division
Finally, divide the simplified numerator by the simplified denominator:
$33 \div (-11) $
$ \frac{33}{-11} = -3 $
Final Result
The value of the expression $ \{8 - (28 - 53)\} \div \{-4 \times 5 - (-9)\} $ is $-3$.
Similar Questions
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What will come in the place of question mark (?) in the given expression?
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