Wednesday, June 30, 2010

Summer Math Part 2 - 8th Grade

Scroll down to the previous post for help on #1-27.


Okay...it's been more than a few days since the other post, but here is the rest of the summer math examples! Remember, you can always email me if you have any questions. That's what I'm here for.

#28-32. Scientific Notation

Remember, first you multiply the first numbers in parentheses. Then multiply the powers of 10. How you do that is by ADDING the exponents following the rules for adding integers. If your first number is a single digit or has a single digit before a decimal point, you are finished.If your first number is two or more digits, you have to change that. Remember, in scientific notation, your first number has to between 1 and less than 10...one digit before the decimal point. So, if you multiply and get a number greater than 10, such as 24, you have to move the decimal point over until you have only a single number before the pont. So, 24 would change to 2.4. Once you do that, since we moved the decimal over 1 time, ADD one to the exponent with the 10.

Here are two examples. In the first, you don't have to move the decimal point or change the exponent. In the second, you do have to move the decimal point.


For #33-36, remember the rules for multiplying and dividing signed numbers.

If the signs are the same the answer is POSITIVE.

If the signs are different, the answer is NEGATIVE.

If you are multiplying more than two numbers, just count the number of negative signs. If there is an even number of negative signs, it's POSITIVE. If there is an odd number of negative signs, it's NEGATIVE. All you have to do is multiply the numbers.

#37-40 Simple Equations. Here are a few examples. Remember, to solve an equation, you are trying to get the variable by itself.
For #41-43, remember that to add like terms, you combine the terms that have the exact same variable. Numbers without variables are like terms with each other. Do not combine terms that have two different letters. Here are a few examples:

Example 1:



Example 2:




For #44-45, you are using distributive property. You multiply the number on the outside by each of the numbers on the inside.


That's it! Remember to write if you need help and ----

HAVE A GREAT SUMMER! See you in the fall!

Mrs. Swickey