Simplify the following expression: 16 ÷ 2 − 7 × 15 ÷ 3 + 5 × 5 + 4 × 3 − 10.

Question

Accepted Answer

Let's simplify the expression step by step using BODMAS/PEMDAS rules (Brackets, Orders, Division and Multiplication, Addition and Subtraction):

Expression: 16 ÷ 2 − 7 × 15 ÷ 3 + 5 × 5 + 4 × 3 − 10

Step 1: Solve all divisions and multiplications from left to right:

16 ÷ 2 = 8
7 × 15 = 105
105 ÷ 3 = 35
5 × 5 = 25
4 × 3 = 12

So, substitute back:
= 8 − 35 + 25 + 12 − 10

Step 2: Now, perform addition and subtraction from left to right:

8 − 35 = -27
-27 + 25 = -2
-2 + 12 = 10
10 − 10 = 0

Wait, let's double-check the multiplication and division order for 7 × 15 ÷ 3:

According to BODMAS, multiplication and division are done from left to right.
So, 7 × 15 ÷ 3 = (7 × 15) ÷ 3 = 105 ÷ 3 = 35

So, the steps are correct.

Now, let's check the addition and subtraction again:
8 − 35 = -27
-27 + 25 = -2
-2 + 12 = 10
10 − 10 = 0

But the options do not match this answer. Let's check if the original question had any ambiguity in operator precedence.

Let's try grouping the operations as per strict left-to-right for multiplication/division:
16 ÷ 2 = 8
7 × 15 = 105
105 ÷ 3 = 35
5 × 5 = 25
4 × 3 = 12

So, 8 − 35 + 25 + 12 − 10

8 − 35 = -27
-27 + 25 = -2
-2 + 12 = 10
10 − 10 = 0

So the answer is 0, but the correct option is marked as -1 in the answer key. Let's check if the question expects us to do 7 × (15 ÷ 3):

7 × (15 ÷ 3) = 7 × 5 = 35

So, the result is the same.

Therefore, the correct answer is 0, not -1. But according to the answer key, -1 is marked correct. Let's check if there is a calculation mistake.

Let's try again:
16 ÷ 2 = 8
7 × 15 = 105
105 ÷ 3 = 35
5 × 5 = 25
4 × 3 = 12

8 − 35 + 25 + 12 − 10

8 − 35 = -27
-27 + 25 = -2
-2 + 12 = 10
10 − 10 = 0

So, the correct answer is 0. The answer key seems to be incorrect. The correct answer is option 3: 0.

Answer

Answer

Answer