valuate the following expression:

| − 4 ⋅ (−8) − 5 ⋅ 13|

1 answer

To evaluate the expression \( | -4 \cdot (-8) - 5 \cdot 13 | \), we will first simplify the terms inside the absolute value.

  1. Calculate \( -4 \cdot (-8) \): \[ -4 \cdot (-8) = 32 \]

  2. Calculate \( -5 \cdot 13 \): \[ -5 \cdot 13 = -65 \]

  3. Now substitute these values back into the expression: \[ | 32 - 65 | \]

  4. Simplify \( 32 - 65 \): \[ 32 - 65 = -33 \]

  5. Finally, take the absolute value: \[ | -33 | = 33 \]

Thus, the final result is: \[ \boxed{33} \]