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Math  /  Numbers & Operations

QuestionEvaluate: 11−∣33+−18∣+−911-|33+-18|+-9

Studdy Solution

STEP 1

1. The expression involves absolute value, addition, and subtraction.
2. We need to evaluate the expression step by step, respecting the order of operations.

STEP 2

1. Simplify the expression inside the absolute value.
2. Evaluate the absolute value.
3. Substitute back into the original expression.
4. Perform the remaining arithmetic operations.

STEP 3

Simplify the expression inside the absolute value:
33+(−18)=33−18=15 33 + (-18) = 33 - 18 = 15

STEP 4

Evaluate the absolute value:
∣15∣=15 |15| = 15

STEP 5

Substitute the evaluated absolute value back into the original expression:
11−15+(−9) 11 - 15 + (-9)

STEP 6

Perform the arithmetic operations from left to right:
First, calculate 11−15 11 - 15 :
11−15=−4 11 - 15 = -4
Then, add −9-9:
−4+(−9)=−4−9=−13 -4 + (-9) = -4 - 9 = -13
The evaluated result of the expression is:
−13\boxed{-13}

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