Algebra: Chapter 3 Review
Make sure that your notes are up-to-date.
Remember too, the steps to SOLVING 2-STEP EQUATIONS:
- Multiply both sides to clear fractions or decimals, if necessary.
- Collect like terms on each side, if necessary.
- Use the addition property to move the variable to one side and all other terms to the other side of the equation.
- Collect like terms again, if necessary
- Add or subtract to isolate the variable and finally
- Use the multiplication or division or reciprocal properties to solve for the variable.
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Algebra 1a: Chapter 2, Lesson 6, page 81.
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!