Multiplying & Dividing Integers

Multiplying & Dividing Integers

What are the ways we see multiplication problems?

• 3 x 2 (The most commonly used)

• 3 * 2 (This is using a star symbol)

• (3)(2) (Two numbers next to one another in parenthesis) 

•  $3\cdot2$  (The simple dot)

What are the ways we see division problems?

• 3 ÷ 2 (Most commonly seen way)

• 3/2 (Looks like a fraction)

•  $\frac{3}{2}$  (This also looks like a fraction, but a fraction is another way of saying a division problem)

Multiple Choice

Which is NOT a way to see a division problem?

• 4/5

• 4 * 5

• 4 ÷ 5

• $\frac{4}{5}$

Multiple Choice

To determine if the solution to a multiplication/division is positive or negative, we use the pizza diagram.

• True

• False

Multiple Choice

If I have two negatives what will the product be?

• Negative

• Positive

Multiple Choice

If I have a negative multiplied with a positive, what will the answer be?

• Positive

• Negative

Multiple Choice

-24 ÷ 6 =

• -4

• 4

• -18

• -3

Multiple Choice

• 5

• -5

• 3

• -3

What about 3 or more digits beings multiplied together at the same time?

Anytime you have 3 or more digits being multiplied, you just follow the rules of GEMDAS and start from left to right.

Example: 2 x 3 x -3

Start with the first two numbers (2 x 3 which is 6), and then multiply that answer by the last number (6 x -3 which is -18).

Multiple Choice

Multiply

(5) • (–9) • (–2)

• 90

• -45

• -90

• 47

Multiple Choice

(-2)(-4)(-3)

• 24

• -24

• 8

• -21

Exponents with integers

By now we should know whenever we see an exponent it means I will be multiplying that number times itself.

For example:

 $-6^2$  
This translates to -6 x -6

Multiple Choice

Determine the answer to the following:

 $-3^3$  

• 9

• -9

• 27

• -27