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Understanding Rational and Irrational Numbers in Calculations

Explore rational and irrational numbers for real number operations. Practice questions on integers, natural numbers, and fractions. Enhance your math skills and prepare for upcoming exams.

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Understanding Rational and Irrational Numbers in Calculations

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  1. Thursday, 20190815 Essential Questions • EQ1: How can we use rational and irrational numbers in calculations? Agenda Bridge Math • Store your phones • Find your seat • EQ1 Rational & Irrational Numbers • Bellwork: Rational and Irrational numbers • Practice Real Number Operations • WW#1 EXAM 20190923 • Benchmark1 20190930 • NO VISA • No Calculator • No Exit Ticket • Remain in seat until bell rings. Teacher Dismisses NOT the bell. • Quote of the day: “Knowledge has never been known to enter the head via an open mouth” –Doug Larson

  2. Bellwork: Thursday, 20190815 Determine if the number is rational (Q) or Irrational (Ir) Ir Q Q Ir Q Q Ir Q Q Q

  3. Real Numbers Rational and Irrational

  4. Real Number Sets Rational Numbers: Integers + fractions (ratios) {…,-3, -2.57,-2, -1 ¼ ,-1, 0, 2/3, 1, 1.3, 2, 5/2, 3, 4, …} Integers: Whole numbers + negative numbers {…,-3,-2,-1, 0, 1, 2, 3, 4, …} Whole Numbers: Natural numbers + zero {0, 1, 2, 3, 4, …} Natural Numbers {1, 2, 3, 4, …}

  5. Practice Real Number Operations • Please take out a full sheet of paper. • Label your paper with name, date, and class period. • Please write out the questions and answers on your paper.

  6. Compare, Use <, >, or =. 1) -32 □ 32 2) 26 □ |-26| 3) -8 □ -12 4) Graph the numbers -2, 3, -4, 5. and -1 on a number line. Then list the numbers in order from least to greatest. 5) The coldest temperature ever recorded east of the Mississippi is fifty-four degrees below zero in Danbury, Wisconsin, on January 24, 1922. Write the temperature as an integer. Integer

  7. Find the sum or difference 1) -7 + (-6) = 2) -15 + 24 + (-9) = Evaluate x + y for x = -2 and y = -15 3) 3 – 9 = 4) -3 – (-5) = 5) Evaluate x – y + z for x = -4, y = 5, and z = -10 Find the product or quotient 1) -8 · 12 = 2) -3 · 5 · (-2) = 3) -75 ÷ 5 = 4) -110 ÷ (-2) = 5) The temperature in Bar Harbor, Maine, was -3 F. During the night, it dropped to be four times as cold. What was the temperature then? Integer Operations Lesson Quiz

  8. Examples: Write each rational number as a fraction: Rational Number Lesson Quiz • 0.3 • 0.007 • -5.9 • 0.45

  9. The End

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