3×-⅓×(6×-18)
First, we'll simplify the expression inside the parentheses:
6×-18 = 6x - 18
Now, we can use the distributive property to simplify the entire expression:
3×-⅓×(6×-18) = 3(-⅓)(6x - 18)
= -2(6x - 18)
= -12x + 36
Therefore, 3×-⅓×(6×-18) simplifies to -12x + 36.
To solve the expression 3×-⅓×(6×-18) step-by-step, you can follow the order of operations known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right):
1. Start by simplifying the expression within the parentheses: (6×-18)
- Multiply 6 by -18: 6×-18 = -108
2. Now substitute the simplified expression back into the original equation: 3×-⅓×(-108)
- You can rewrite -⅓ as -1/3.
3. Multiply 3 by -1/3: 3 × -1/3 = -1
4. Finally, multiply -1 by -108: -1 × -108 = 108
So, the answer to the expression 3×-⅓×(6×-18) is 108.