35+50+25/5 X 5 - (8+11) = 25
(-16 + 20) x 6 / (6+2) + 31 = 34
3+2 (4+ 9 / 3) = 17
5 [48 / (12 + 4) ] - 16 = -14
1/2(-16-4) = -10
To solve these mathematical expressions, you need to follow the order of operations, also known as PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). Here's how you can solve each expression step by step:
1. 35 + 50 + 25 ÷ 5 × 5 - (8 + 11)
- First, simplify inside the parentheses: (8 + 11) = 19.
- Then divide 25 ÷ 5 = 5.
- Next, multiply 5 × 5 = 25.
- Finally, perform addition and subtraction from left to right: 35 + 50 + 25 - 19 = 111.
2. (-16 + 20) × 6 ÷ (6 + 2) + 31
- Simplify inside the parentheses: (-16 + 20) = 4.
- Perform the addition within the parentheses: (6 + 2) = 8.
- Multiply 4 × 6 = 24.
- Divide 24 ÷ 8 = 3.
- Finally, perform addition and subtraction from left to right: 3 + 31 = 34.
3. 3 + 2(4 + 9 ÷ 3)
- First, simplify the division inside the parentheses: 9 ÷ 3 = 3.
- Perform the addition within the parentheses: 4 + 3 = 7.
- Next, multiply 2 × 7 = 14.
- Finally, perform addition from left to right: 3 + 14 = 17.
4. 5[48 ÷ (12 + 4)] - 16
- Simplify inside the parentheses: (12 + 4) = 16.
- Perform the division within the brackets: 48 ÷ 16 = 3.
- Multiply 5 × 3 = 15.
- Finally, subtract 16 from 15: 15 - 16 = -1.
5. 1/2(-16 - 4)
- Simplify inside the parentheses: -16 - 4 = -20.
- Multiply 1/2 by -20: 1/2 × -20 = -10.
Therefore, the solutions to the given expressions are:
1. 35 + 50 + 25 ÷ 5 × 5 - (8 + 11) = 111
2. (-16 + 20) × 6 ÷ (6 + 2) + 31 = 34
3. 3 + 2(4 + 9 ÷ 3) = 17
4. 5[48 ÷ (12 + 4)] - 16 = -1
5. 1/2(-16 - 4) = -10