Final answer:
The expression 12×(0.25)×(−8)÷ 1/3 ×5 should be solved using the order of operations. By multiplying and dividing from left to right, we find that the correct answer is −360. Any deviation from this order may result in an incorrect answer.
Step-by-step explanation:
The expression given is 12×(0.25)×(−8)÷ 1/3 ×5. To find the mistake, we need to follow the order of operations, which is parentheses first, then exponents, followed by multiplication and division from left to right, and finally addition and subtraction from left to right (PEMDAS/BODMAS).
Step by Step Explanation
First, we multiply the numbers in parentheses:
12 * 0.25 = 3
3 * (−8) = −24
Next, we address the division and multiplication:
−24 ÷ (1/3) * 5
Because division and multiplication are of equal priority, we perform them from left to right:
(−24 ÷ 1/3) equals to −24 * 3 (since dividing by a fraction is the same as multiplying by its reciprocal) giving us −72.
Then we multiply −72 by 5:
−72 × 5 = −360
Thus, the correct calculation results in −360.