Question

multiplying integers
dividing integers

• multiplying or dividing two numbers that have the ____ signs results in a __ answer. • multiplying or dividing two numbers that have __ signs results in a ____ answer. • the “mickey mouse” on the right can be helpful to remember this pattern. cover up the two signs of your numbers, and the remaining sign in your mickey mouse is the sign of the answer. examples: negative positive = negative, negative negative = positive

1. -7 * 3
2. 32 * 8
3. 10(-8)

12

1. $\frac{-48}{3}$
2. -20 ÷ -4
3. $\frac{90}{-45}$

Explanation:

Step1: Recall sign - rule for multiplication/division

When multiplying or dividing two numbers with the same sign, the result is positive. When multiplying or dividing two numbers with different signs, the result is negative.

Step2: Solve - 7×3

The numbers - 7 and 3 have different signs. So, - 7×3=-21.

Step3: Solve 32÷8

The numbers 32 and 8 have the same sign. So, 32÷8 = 4.

Step4: Solve 10×(-8)

The numbers 10 and - 8 have different signs. So, 10×(-8)=-80.

Step5: Solve - 48÷3

The numbers - 48 and 3 have different signs. So, - 48÷3=-16.

Step6: Solve - 20÷(-4)

The numbers - 20 and - 4 have the same sign. So, - 20÷(-4)=5.

Step7: Solve 90÷(-45)

The numbers 90 and - 45 have different signs. So, 90÷(-45)=-2.

Answer:

1. - 21
2. 4
3. - 80
4. - 16
5. 5
6. - 2