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Math 7 Warm-Up 12/5/16Write each rational as a repeating or terminating decimal: -7120= 513= -5 9 = Write each repeating or terminating decimals as rationals: 0.8 =0.72 =Content Standards 7.NS.2 – Apply and extend previous understandings of multiplication and division of fractions to multiply and divide rational numbers.7.NS.2b – Understand that integers can be divided provided that the divisor is not zero and every quotient of integers is a rational number.7. EE.3 – Convert between forms (whole numbers, fractions, and decimals) as appropriate.Mathematical Practices:1: Make sense of problems and persevere in solving them.3: Construct whole arguments and critique the reasoning of others.4: Model with mathematics.A rational number is a number that can be expressed as a ratio of two integers written as a fraction p/q as long as the denominator q ≠ mon fractions, terminating or repeating decimals, percents, and integers are all rational numbers.Any number which is a whole number is also part of the integers and part of the rational numbers.Any number which does not terminate or repeat cannot be written as a decimal and, therefore, cannot be rational. Example π, 7, 3To compare rational numbers with unlike denominators, make a common denominator or common multiple by finding the lowest common denominator (LCD) or least common multiple (LCM) of the two denominators.*To find a LCM just multiply the two denominators together. Note, this will not be the LCM unless the two numbers are relatively prime (have no common factors other than 1 and itself).19621504381500Example 1: Compare 712 818 using <, >, or =.19621504381500Example 2: Compare 56 79 using <, >, or =.19621504381500Example 3: Compare -916 - 710 using <, >, or =.To compare rationals on a number line, mark off equal-size increments between the two given values,Example 4: Compare -338 -3 78 using <, >, or =.5048254635500 Example 5: Compare -57 -27 using <, >, or =.504825444500Example 6: Compare -559 -5 19 using <, >, or =.5048251206500To compare rational numbers in different forms, express each number as a decimal and then compare.Example 7: Compare 20% of students own roller shoes in Mr. Huang’s class to 5 out of 29 who own roller shoes in Mrs. Trevino’s class.20% = __________________529 = _________________Example 8: Order the set 23%, 0.21, 14, 15 from least to greatest.Example 9: Order the set 60%, 0.72, 1625,710, 15 from least to greatest.Guided Practice:Homework p. 187 – 188 (2, 4, 7, 8, 10, 12) ................
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