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# Section 2.3 2.4 mult div rational (algebra)

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### Section 2.3 2.4 mult div rational (algebra)

1. 1. Section 2.3 – 2.4 Multiplying and Dividing Rational Numbers
2. 2. <ul><li>The term Rational Numbers refers to any number that can be written as a fraction. </li></ul><ul><li>This includes fractions that are reduced, fractions that can be reduced, mixed numbers, improper fractions, and even integers and whole numbers. </li></ul><ul><ul><li>An integer, like 4, can be written as a fraction by putting the number 1 under it. </li></ul></ul>Rational Numbers
3. 3. <ul><li>When multiplying fractions, they do NOT need to have a common denominator. </li></ul><ul><li>To multiply two (or more) fractions, multiply across, numerator by numerator and denominator by denominator. </li></ul><ul><li>If the answer can be simplified, then simplify it. </li></ul><ul><li>Example: </li></ul><ul><li>Example: </li></ul>Multiplying Fractions
4. 4. <ul><li>When multiplying fractions, we can simplify the fractions and also simplify diagonally. This isn’t necessary, but it can make the numbers smaller and keep you from simplifying at the end. </li></ul><ul><li>From the last slide: </li></ul><ul><li>An alternative: </li></ul>Simplifying Diagonally You do not have to simplify diagonally, it is just an option. If you are more comfortable, multiply across and simplify at the end. 1 1
5. 5. <ul><li>To multiply mixed numbers, convert them to improper fractions first. </li></ul>Mixed Numbers 1 1
6. 6. <ul><li>Remember, when multiplying signed numbers... </li></ul>Sign Rules Positive * Positive = Negative * Negative = Positive * Negative = Positive. Positive. Negative.
7. 7. <ul><li>Multiply the following fractions and mixed numbers: </li></ul>Try These: Multiply
8. 8. Solutions: Multiply
9. 9. Solutions (alternative): Multiply Note: Problems 1, 2 and 4 could have been simplified before multiplying. 1 2 2 1 1 2 1 3 1 3
10. 10. <ul><li>When dividing fractions, they do NOT need to have a common denominator. </li></ul><ul><li>To divide two fractions, change the operation to multiply and take the reciprocal of the second fraction (flip the second fraction). Keep-Change-Change. </li></ul>Dividing Fractions Change Operation. Flip 2nd Fraction.
11. 11. <ul><li>Finish the problem by following the rules for multiplying fractions. </li></ul>Dividing Fractions
12. 12. <ul><li>Divide the following fractions & mixed numbers: </li></ul>Try These: Divide
13. 13. Solutions: Divide
14. 14. <ul><li>2-1: Rational Numbers on the Number Line </li></ul><ul><li>(including absolute value)  </li></ul><ul><li>2-7: Square Roots and Real Numbers </li></ul><ul><li>(different types of numbers) </li></ul><ul><li>2-2: Adding and Subtracting Rational Numbers </li></ul><ul><li>2-3 & 4: Multiplying and Dividing Rational Numbers </li></ul>Chapter 2 Test