Answer and Step-by-step explanation:
The given assertion and reason are correct. Let's break it down step by step:
1. Assertion: -4 divided by 4 equals -1.
- When dividing a negative number by a positive number, the result is negative.
- In this case, -4 divided by 4 is -1 because -4 is negative and 4 is positive.
2. Reason: -4 multiplied by 1/4 equals -1.
- Multiplying a negative number by a positive fraction gives a negative result.
- -4 multiplied by 1/4 can be rewritten as -4 * 1/4.
- Multiply the numerators (-4) and the denominators (4), which gives -4/4.
- Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 4. This results in -1/1 or simply -1.
Therefore, both the assertion and reason are correct, showing that -4 divided by 4 equals -1 because -4 multiplied by 1/4 also equals -1.