How is the sign of the quotient determined
The sign of the quotient is determined by the following rules:
1. If both the dividend and divisor have the same sign (either both positive or both negative), then the quotient will be positive.
2. If the dividend and divisor have different signs (one is positive and the other is negative), then the quotient will be negative.
In other words, if the signs of the numbers being divided are the same, the quotient is positive. If the signs are different, the quotient is negative.
The sign of the quotient is determined based on the signs of the dividend and divisor in a division operation. Here are the rules to determine the sign of the quotient:
1. When both the dividend and divisor have the same sign (both positive or both negative), the quotient is positive. For example, 10 divided by 2 is 5, and -20 divided by -4 is 5.
2. When the dividend and divisor have different signs (one positive and one negative), the quotient is negative. For example, 10 divided by -2 is -5, and -20 divided by 4 is -5.
Note that when one or both of the dividend and divisor are zero, the quotient will always be zero, regardless of signs.
The sign of a quotient (or division) is determined based on the signs of the dividend and divisor being divided. To determine the sign of the quotient, you can follow these steps:
1. Determine the sign of the dividend (the number being divided).
- If the dividend is positive (+), the sign is positive.
- If the dividend is negative (-), the sign is negative.
2. Determine the sign of the divisor (the number dividing the dividend).
- If the divisor is positive (+), the sign is positive.
- If the divisor is negative (-), the sign is negative.
3. Analyze the signs of the dividend and divisor together:
- If the signs of the dividend and divisor are the same (both positive or both negative), the quotient will be positive.
- If the signs of the dividend and divisor are different (one positive and one negative), the quotient will be negative.
For example:
- Dividend (+) ÷ Divisor (+) = Quotient (+)
- Dividend (-) ÷ Divisor (+) = Quotient (-)
- Dividend (+) ÷ Divisor (-) = Quotient (-)
- Dividend (-) ÷ Divisor (-) = Quotient (+)
Remember, this method applies to real numbers and not just integers.