Question
Calculate. (a) \( 40 \times(-12+8)-10 \times(2+-8)-3 \times(-3-8) \)
Ask by Hobbs Gibson. in South Africa
Feb 20,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The result is -67.
Solution
Calculate or simplify the expression \( 40*(-12+8)-10*(2+-8)-3*(-3-8) \).
Calculate the value by following steps:
- step0: Calculate:
\(40\left(-12+8\right)-10\left(2-8\right)-3\left(-3-8\right)\)
- step1: Add the numbers:
\(40\left(-4\right)-10\left(2-8\right)-3\left(-3-8\right)\)
- step2: Subtract the numbers:
\(40\left(-4\right)-10\left(-6\right)-3\left(-3-8\right)\)
- step3: Subtract the numbers:
\(40\left(-4\right)-10\left(-6\right)-3\left(-11\right)\)
- step4: Multiply the numbers:
\(-160-10\left(-6\right)-3\left(-11\right)\)
- step5: Multiply the numbers:
\(-160+60-3\left(-11\right)\)
- step6: Multiply the numbers:
\(-160+60+33\)
- step7: Add the numbers:
\(-67\)
The result of the expression \(40 \times (-12+8) - 10 \times (2+(-8)) - 3 \times (-3-8)\) is \(-67\).
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Simplify this solution Mind Expander
Let's break it down step by step! First, simplify the expressions inside the parentheses: - For \( -12 + 8 \), you get \( -4 \). - For \( 2 + -8 \) (which is \( 2 - 8 \)), you get \( -6 \). - For \( -3 - 8 \), you get \( -11 \). Now substitute these simplified values back into the expression: \[ 40 \times (-4) - 10 \times (-6) - 3 \times (-11) \] Calculating each term: - \( 40 \times (-4) = -160 \) - \( -10 \times (-6) = 60 \) - \( -3 \times (-11) = 33 \) Now, plug these back into the expression: \[ -160 + 60 + 33 \] Now sum it all up: 1. \( -160 + 60 = -100 \) 2. \( -100 + 33 = -67 \) So the final answer is \( \boxed{-67} \).
