Tag: burtonmath10C

Math 10- Week 3

Week 3 was almost like a review of exponents from grade 9 but with a bit more “pizazz” because we learned about negative exponents, which was entirely new to me.

I understood it quickly and got the hang of it after a few examples, however, I did still have some trouble with the assignments. Mainly this one: Simplify. Write the final answer with positive exponents. (5 a^3 b^2)(-2a^-2b)^-3 ÷ (-5a^8b^-9)^-2

At first, I got confused while I was simplifying and ended up with this:

I realized where I went wrong- the exponents inside do not change when you move it “upstairs” or “downstairs.” So then I changed how I did my work and got this:

which was correct. I learned to be extremely careful with negatives because I can be forgetful with the rules.

Week 2- Math 10

This week, we covered more prime factorization and a few square and cube root related questions.

One question I had a bit of trouble with was this one:

The mixed radical \frac{1}{12} \sqrt[3]{128} can be converted to a mixed radical in simplest form a \sqrt[3]{b} . The value of a+b to the nearest tenth is ______. 

At first, I did this:

Then I checked the answer and it wasn’t right. I realized what I did wrong so I redid my math which resulted in this:

And it was the right answer.