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Chapter 2

Chapter 2. 2.1: Rational Numbers. Rational numbers. There are over 360 different species of sharks, which are divided into 30 families. The most common species found around Florida are listed. Rational numbers. What fraction of the shark species have an average length of less than 6 feet?.

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Chapter 2

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  1. Chapter 2 2.1: Rational Numbers

  2. Rational numbers There are over 360 different species of sharks, which are divided into 30 families. The most common species found around Florida are listed.

  3. Rational numbers What fraction of the shark species have an average length of less than 6 feet?

  4. Rational numbers What fraction of the sharks are/can be a shade of blue?

  5. Rational numbers What fraction of the sharks are not a shade of gray?

  6. Rational Numbers Numbers that can be written as a fraction are called RATIONAL NUMBERS. Since can be written as , can be written as and can be written as , are all rational numbers. ALL INTEGERS, FRACTIONS, AND MIXED NUMBERS ARE RATIONAL NUMBERS.

  7. Rational numbers Mathematical Definition of a rational number.

  8. Converting a fraction to a decimal Any fraction can be expressed as a decimal by dividing the numerator by the denominator. Example: as a decimal is…

  9. Write each fraction as a decimal

  10. Rational Numbers Every rational number can be written as either a terminating decimal or repeating decimal. A decimal is called a TERMINATING DECIMALbecause the division ends, or terminates, with a remainder of 0. Examples:

  11. Rational Numbers If the division does not end, a pattern of digits repeats. REPEATING DECIMALShave a pattern in their digits that repeats without end. Instead of the three dots to indicate infinite continuation we use BAR NOTATIONto indicate a digit or group of digits repeats.

  12. Rational numbers Examples of Repeating Decimals

  13. Common repeating decimals All DENOMINATORS DIVISIBLE BY 3 MAY PRODUCE A REPEATING DECIMAL.

  14. Write as a decimal.

  15. REDUCING FRACTIONS When writing a fraction you should ALWAYS reduce EVERY fraction. , , , When reducing start with the smallest numbers to find divisibility. For example you should always check to see if they are divisible by 2 or 3 first.

  16. Writing a decimal as a fraction Terminating and Repeating Decimals are rational numbers because they can be written as fractions. Example: Write as a fraction.

  17. WRITING A REPEATING DECIMAL AS A FRACTION

  18. Another example

  19. Last Example Write as a fraction.

  20. Homework #15 Page 87 – 88, #’s 14 – 24 Evens, 26 – 29, 30 – 36 Evens, 43 – 46, 53 – 55

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