Algebra: Chapter 3, Lesson 10, page 152 and Chapter 3, Lesson 11, page 158.
More Expressions and Equations
Remember, the sum of an integer and the next integer can be represented by `x` and `(x+1)` or `x+(x+1)` or `2x+1`.
The sum of consecutive (comes right after each other) odd OR even integers can be expressed as `x` and `(x+2)` or `x+(x+2)` or `2x +2`.
If you get confused, just make a little table, like `3`, `4`, `5`, `6`, `7` and `8` and see where the variable `n ` would line up if the numbers were hidden.
Here is a link that shows a few examples too.
Two of tonight’s homework problems solved by MrE are here! Just click it!
Using Percent
The ratio of numbers to 100 is called percent. Percent means “per one hundred”. We use whickity-whack divide, the method that Ms. Phillips taught us in 7th grade. Here is my podcast that describes the process!
Two of tonight’s homework problems solved by MrE are here! Just click it!
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Algebra 1a: Chapter 2, Lessons 5 and Lesson 6, pages 77 and 81.
Multiplication and Division of Rational Numbers
Today is easy because the rules for multiplication and division are simple.
- When multiplying 2 numbers AND if the SIGNS are the same, the product is ALWAYS positive.
- If the signs are different, them the product is ALWAYS negative. This is pretty straightforward.
Division follows the same rules as multiplication.
2 rational numbers whose product is 1 are called multiplicative inverses or reciprocals of each other. Just flip the rational expression over and keep the same sign. For example, the reciprocal of `2/3` or `m/n` is `3/2 ` and `n/m` respectively.
Remember too, to divide rational numbers, sometimes its easier to express them as improper fractions, then convert the 2nd term to its reciprocal and change the `/` to a `⋅`.
Two of tonight’s homework problems solved by MrE are here! Just click it!
Purplemath.com has these tutorials about multiplying and dividing rational numbers, check it out!