1. Slideshow 6, Mathematics Room 307, Mr. Sasaki

2.  Multiplication and division drill  Learn what a monomial is  Recall what happens when we multiply something by something else or itself  Recall what happens when we divide something by something else or itself  Practice multiplying and dividing monomials

3. What is a monomial? A monomial is a polynomial that contains only one term and a coefficient (even 1). Is this a monomial? Yes! Is this a monomial?No! Is this a monomial?Yes!

4. Basically, a monomial is a polynomial without any addition or subtraction operators. When we multiply monomials, we combine each monomial to make one, single monomial. Let’s have a look… Example Here are two monomials, a and b. In the simplest case, we just write them together. =

5. Algebraic expressions in their simplest form do not contain x or ÷ symbols, this is why it is important to remove them. Example = When written as a fraction, this is thought of as one number, one term. This is why this is simplified in algebra.

6. Numbers follow rules that you should be familiar with by now, let’s have a look. Example Simplify. =

7. When we divide, the same applies however we write the first unknown at the top and last at the bottom. Example Simplify ÷. ÷ = Try the short worksheet!

8. Answers You can see here that it’s much easier to read this as a set of fractions!

9. When terms are the same as each other, they combine as one term in a different way. Example = = = = x

10. Division works in the opposite way. Example = = ÷ So when we multiply powers of the same term, the power is added and when we divide, the power is subtracted. Try to remember this!

11. Let’s try some general examples. Example = = Try the last worksheet!

12. Answers or