Question

Apply the correct order of operations to simplify each expression.

1.4 x 85 x 2
2.8 x 3÷2
3.-4(5-7) x 9
4.3(4-6) 2(8 + 1)
5.9(87)- 3 x 2²

Answer 1

1. 4 x 85 x 2 = 238To simplify this expression, we perform the multiplication from left to right: 1.4 x 85 = 119, and then 119 x 2 = 238.
2. 8 x 3 ÷ 2 = 12According to the order of operations (PEMDAS/BODMAS), we perform the multiplication first: 8 x 3 = 24. Then, we divide by 2: 24 ÷ 2 = 12.
3. -4(5-7) x 9 = 72We start by simplifying the parentheses: (5-7) = -2. Then, we multiply: -4 x (-2) = 8. Finally, we multiply by 9: 8 x 9 = 72.
4. 3(4-6) 2(8 + 1) = -27Following the order of operations, we simplify the parentheses: (4-6) = -2, and (8 + 1) = 9. Then, we perform the multiplications: 3 x (-2) = -6, and 2 x 9 = 18. Finally, we subtract -6 - 18 = -27.
5. 9(87) - 3 x 2² = 759

Again, we follow the order of operations: 3 x 2² = 12. Then, we multiply: 9 x 87 = 783. Finally, we subtract: 783 - 12 = 759.

Answer 2

1. 4 x 85 x 2 = 680
2. 8 x 3 ÷ 2 = 12
3. -4(5-7) x 9 = 72
4. 3(4-6) + 2(8+1) = -6 + 18 = 12
5. 9(87) - 3 x 2² = 783 - 12 = 771

Therefore, the simplified expressions are:
1. 680
2. 12
3. 72
4. 12
5. 771