Without calculating, which of the following quotients can you determine will be positive?

657 divided by (-23)

-111 divided by 37

1001 divided by (-143)

-725 divided by (-29)

1 answer

To determine if a quotient will be positive or negative without calculating, we can use the following rules:

- A positive number divided by a positive number will be positive.
- A negative number divided by a negative number will be positive.
- A negative number divided by a positive number will be negative.
- A positive number divided by a negative number will be negative.

Using these rules, we can determine the following quotients will be positive:

- 657 divided by (-23) will be negative, as a positive number divided by a negative number will be negative.
- -111 divided by 37 will be negative, as a negative number divided by a positive number will be negative.
- 1001 divided by (-143) will be negative, as a positive number divided by a negative number will be negative.
- -725 divided by (-29) will be positive, as a negative number divided by a negative number will be positive.