Slideshow 6, Mathematics Room 307, Mr. Sasaki

 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

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!

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. =

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.

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

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!

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

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

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!

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

Answers or