what is a -210 Divided by 14
The correct answer and explanation is:
The correct answer to -210 divided by 14 is -15.
Here is the explanation:
Division involves splitting a number into equal parts. When dividing a negative number by a positive number, the result will be negative. This is because the division of a negative number by a positive number follows the rule of signs: a negative divided by a positive results in a negative.
To perform the division:
- Ignore the signs for a moment and divide 210 by 14.
210 ÷ 14 = 15. - Since the original number, -210, is negative, and 14 is positive, the result will be negative.
Therefore, -210 ÷ 14 = -15.
This division operation follows basic arithmetic rules for handling positive and negative numbers. It is important to note that when dividing two numbers of the same sign (both positive or both negative), the result is positive. Conversely, when the numbers have opposite signs, the result is negative.
The operation is similar to a straightforward division where you are essentially determining how many times 14 fits into 210. Since 14 goes into 210 exactly 15 times, the answer is -15 because of the negative sign from the numerator.
This result can be checked by multiplying the quotient (-15) by the divisor (14) to see if it returns the original number:
-15 × 14 = -210, confirming the correctness of the division.