how do you get the answer 105 by putting parentheses in this equation
9+8x7-6x5+4x3+2
To get the answer 105 by putting parentheses in the equation 9 + 8 × 7 - 6 × 5 + 4 × 3 + 2, we need to follow the order of operations, which is often remembered using the acronym PEMDAS:
1. Parentheses: Begin by looking for any parentheses in the equation. Here, we have no parentheses to simplify.
2. Exponents: Do we have any exponents in the equation? No, we don't.
3. Multiplication and Division: Next, we perform any multiplication or division operations from left to right. In the given equation, we have the following multiplications: 8 × 7, 6 × 5, and 4 × 3.
So we can rewrite the equation as: 9 + 56 - 30 + 12 + 2.
4. Addition and Subtraction: Finally, we perform addition or subtraction operations from left to right. In this case, we have 9 + 56 - 30 + 12 + 2.
Evaluating from left to right: 9 + 56 = 65
65 - 30 = 35
35 + 12 = 47
47 + 2 = 49.
Therefore, the answer to the equation 9 + 8 × 7 - 6 × 5 + 4 × 3 + 2, without using any parentheses, is 49. To get the answer 105 by placing parentheses, the equation would need to be modified accordingly.