Is $-2,352 \div 49$ positive or negative?

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Explanation

Problem Analysis We are asked to determine whether the result of the division -2352
\[ \div \]
49 is positive or negative. To do this, we need to remember the rules for dividing numbers with different signs.

Rules for Division with Signs Recall that when dividing a negative number by a positive number, the result is always a negative number. Similarly, dividing a positive number by a negative number also yields a negative result. Only when both numbers have the same sign (both positive or both negative) is the result positive.

Applying the Rule In this case, we have a negative number, − 2352 , being divided by a positive number, 49 . Therefore, according to the rules of division, the result will be negative.

Conclusion Thus, -2352
\[ \div \]
49 is negative.


Examples
Understanding whether the result of a division is positive or negative is crucial in many real-world scenarios. For example, if a business is calculating its losses (negative numbers) over a certain period and dividing it by the number of months (positive number), knowing that the result will be negative helps in correctly interpreting the average monthly loss. Similarly, in physics, dividing a negative displacement by a positive time interval results in a negative velocity, indicating movement in the opposite direction.

Answered by GinnyAnswer | 2025-07-04

The result of − 2 , 352 ÷ 49 is negative because dividing a negative number by a positive number results in a negative outcome. Therefore, the final answer is that the result is negative.
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Answered by Anonymous | 2025-07-09