Answer:The statement -1/-6 is untrue because when dividing, we can rewrite the expression as -1 * (1/(-6)), which simplifies to -1 * (-1/6). Multiplying a negative number by a negative number gives a positive result, so -1 * (-1/6) is equal to 1/6, not -1/-6.
To understand this concept further, let's break it down step by step:
1. The expression -1/-6 can be rewritten as -1 * (1/(-6)). This is because dividing by a negative number is the same as multiplying by its reciprocal.
2. Simplifying further, we have -1 * (-1/6). The negative sign in front of the fraction stays intact, as it is being multiplied by -1.
3. Multiplying a negative number (-1) by a negative number (-1/6) gives a positive result, so -1 * (-1/6) is equal to 1/6.
Therefore, the statement -1/-6 is untrue, and the correct answer is 1/6.
Step-by-step explanation: trusttttt