# Common Core: 7th Grade Math : Divide Rational Numbers

## Example Questions

### Example Question #1 : Divide Rational Numbers

Solve:

Explanation:

We know the following information:

However, the  changes our answer, in this particular case. There are a couple of rules that we need to remember when multiplying with negative numbers:

• A negative number divided by a positive number will always equal a negative number, and a positive number divided by a negative number will always equal a negative number.
• A negative number divided by a negative number will always equal a positive number

Thus,

### Example Question #2 : Divide Rational Numbers

Solve:

Explanation:

We know the following information:

However, the  changes our answer, in this particular case. There are a couple of rules that we need to remember when multiplying with negative numbers:

• A negative number divided by a positive number will always equal a negative number, and a positive number divided by a negative number will always equal a negative number.
• A negative number divided by a negative number will always equal a positive number

Thus,

### Example Question #3 : Divide Rational Numbers

Solve:

Explanation:

We know the following information:

In this particular case, do the negative numbers change our answer? . There are a couple of rules that we need to remember when multiplying with negative numbers:

• A negative number divided by a positive number will always equal a negative number, and a positive number divided by a negative number will always equal a negative number.
• A negative number divided by a negative number will always equal a positive number

Thus,

### Example Question #4 : Divide Rational Numbers

Solve:

Explanation:

We know the following information:

In this particular case, do the negative numbers change our answer? . There are a couple of rules that we need to remember when multiplying with negative numbers:

• A negative number divided by a positive number will always equal a negative number, and a positive number divided by a negative number will always equal a negative number.
• A negative number divided by a negative number will always equal a positive number

Thus,

### Example Question #1 : Divide Rational Numbers

Solve:

Explanation:

We know the following information:

In this particular case, do the negative numbers change our answer? . There are a couple of rules that we need to remember when multiplying with negative numbers:

• A negative number divided by a positive number will always equal a negative number, and a positive number divided by a negative number will always equal a negative number.
• A negative number divided by a negative number will always equal a positive number

Thus,

### Example Question #6 : Divide Rational Numbers

Solve the following: