Skill: Divide integers

Division is the inverse of multiplication. To find $a \div b$, look for the number $q$ that makes

$$bq=a.$$

For nonzero integers:

• Same signs give a positive quotient.
• Different signs give a negative quotient.
• Divide the absolute values, then apply the sign.

Example

Find

$$-48 \div 6.$$

1. The signs are different: $-48$ is negative and $6$ is positive. Therefore, the quotient will be negative.

2. Divide the absolute values:

$$48 \div 6=8.$$

3. Apply the negative sign:

$$-48 \div 6=-8.$$

Check using multiplication:

$$6(-8)=-48.$$

So,

$$\boxed{-48 \div 6=-8}.$$

Remember that $0$ divided by any nonzero integer is $0$, but division by $0$ is undefined.