This problem can be represented by the expression 45 − 5 + 3 × 4. First, calculate the number of passengers getting on: 3 × 4 = 12. The expression becomes 45 − 5 + 12. Now, do the addition and subtraction from left to right. First, 45 − 5 = 40. Then, 40 + 12 = 52. There are 52 passengers on the bus.

To find the original number, work backward from the final answer and reverse the operations. The final answer is 30. The last step was adding 6, so subtract 6: 30 − 6 = 24. The step before that was multiplying by 4, so divide by 4: 24 ÷ 4 = 6. The first step was subtracting 3, so add 3: 6 + 3 = 9. The original number was 9.

Evaluate each expression using the order of operations. A) 10 + 12 − 4 = 22 − 4 = 18. B) 16 × 2 − 4 = 32 − 4 = 28. C) 10 + 6 × 2 = 10 + 12 = 22. D) 16 × 2 = 32. Comparing the results (18, 28, 22, 32), the expression in choice D has the greatest value.

Following the order of operations, first perform multiplication and division from left to right. 3 × 2 = 6 and 10 ÷ 5 = 2. The expression becomes 12 + 6 − 2. Now, perform addition and subtraction from left to right. 12 + 6 = 18. Then, 18 − 2 = 16.

When an expression has only division, the operations are performed from left to right. First, calculate 36 ÷ 6 = 6. Then, use that result for the next operation: 6 ÷ 3 = 2.

The correct way to solve 50 − 10 + 4 × 2 is: First, multiplication: 4 × 2 = 8. The expression becomes 50 − 10 + 8. Next, addition and subtraction are done from left to right. So, 50 − 10 = 40. Then, 40 + 8 = 48. Samara correctly did the multiplication in Step 1. However, in Step 2, she added 10 + 8 before subtracting 10 from 50. This violates the left-to-right rule for addition and subtraction. Her first mistake was in Step 2.

To solve this problem, follow the order of operations (PEMDAS/BODMAS). First, solve the operation in the parentheses: (5 − 1) = 4. The expression becomes 48 ÷ 4 + 2 × 4. Next, perform multiplication and division from left to right. 48 ÷ 4 = 12, and 2 × 4 = 8. The expression is now 12 + 8. Finally, perform addition: 12 + 8 = 20.

Test each option. A) 6 × (5 − 2) + 3 = 6 × 3 + 3 = 18 + 3 = 21. This is true. B) 6 × 5 − (2 + 3) = 30 − 5 = 25. False. C) (6 × 5) − 2 + 3 = 30 − 2 + 3 = 31. False. D) 6 × (5 − 2 + 3) = 6 × (3 + 3) = 6 × 6 = 36. False. Therefore, placing parentheses around 5 − 2 makes the equation true.

To evaluate 4 + 8 × 2, follow the order of operations. Multiplication comes before addition. So, first calculate 8 × 2 = 16. Then, add 4: 4 + 16 = 20. Ben's answer of 20 is correct. Anna likely added first: (4 + 8) × 2 = 24.

According to the order of operations, first calculate the expression inside the parentheses: 10 − 4 = 6. The expression becomes 5 + 3 × 6. Next, perform the multiplication: 3 × 6 = 18. The expression becomes 5 + 18. Finally, perform the addition: 5 + 18 = 23.