Algebra 1: 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!
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Algebra 1a: Chapter 1, Lesson 8, page 38.
Reasoning Strategies
Reasoning Strategies to use:
Phase 1: UNDERSTAND the problem
- What am I trying to find out?
- What data am I given?
- Have I ever solved a similar problem?
Phase 2: Develop and carry out a PLAN
- What strategies might I use to solve the problem?
- How can I correctly carry out the strategies I selected?
Phase 3: Find the ANSWER and CHECK
- Does the proposed solution check?
- What is the answer to the problem?
- Does the answer seem reasonable?
- Have I stated the answer clearly?
One of the most useful strategies is to DRAW A DIAGRAM of the situation.