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Math 6 NOTES 5.1 Name:_______________________________ Integers (SOL 6.3 a & b) • An integer is any number from the set {…, –4, –3, –2, –1, 0, 1, 2, 3, 4, …} where … means continues without end. • Negative integers are integers ____________ than zero. • Positive integers are integers _____________than zero. • _____________ is neither negative nor positive. We call it the origin. Number the number line from –5 to 5. 0 These numbers are Integers: 0; 3; –100; 432; 987,654,321; These numbers are not Integers: 7.2, 10 4 , – 5 8 10 2 6 ; – ; 3 99 9 , – 3.7 Write Integers for Real-Life Situations a gain of 5 yards on the first down. 6 feet below sea level a temperature of 10 degrees below zero. a $35 withdrawal You Try! Underline key words a. Lost 6 points h. 5000 feet above sea level b. 3 strokes below par i. 7 inches below normal c. $5 deposit j. $5 off the original price d. A loss of $30 k. ascend 100 meters e. descend 20 meters l. 10 strokes above par f. 12 centimeters longer m. 6 yard loss Graph an Integer on a Number Line 8 Graph –4 on a number line. Then graph on a number line. Which one is greater???? 2 0 Compare Integers –6 Use the > , <, or = to make a true sentence. –4 a. 3 –5 b. –5 0 c. 6 6 d. –3 − 2 Positive numbers are always _________________ than negative numbers 9 3 Zero is always _____________ than a positive number, but ________________ than a negative number. When comparing two negative numbers, first imagine them on a number line. Whichever negative number is closer to the zero is always __________________________. Order Integers SCIENCE The average surface temperatures of Jupiter, Mars, Earth, and the Moon are shown in the table. Order the temperatures from least to greatest (in ascending order). Name Jupiter Moon Mars Earth Average Surface Temperature (°F) –162 –10 –81 59 Write the following integers in descending order. –5, 20 4 , 3, –12, 8, – 12 3 ______________________________________ ??? Why is it better to have a positive bank account rather than a negative bank account? Math 6 HOMEWORK (5.1) Name:_______________________________ Write an integer to represent the situation below: 1) sea level _______ 2) a withdraw of 42 dollars 3) 14 degrees below 0 _______ ________ 4) an increase in height of 3 inches ________ Write the letter value represented by the point for each letter. Then find its opposite value. H -5 P -4 -3 5) K ____ K -2 -1 0 6) H ____ M 1 2 3 4 7) M ____ 5 8) P ____ Compare using > , < , or = 9) -32 14 10) 11 –4 27 11) –9 3 12) –10 –12 Order the following from least to greatest (ascending order). 13) –8, 20 2 , 2, –13, –5, 14) –22, –11, 6 _______________________________ 2 44 4 , 0, –14, 22, – 30 3 _______________________________ Order the following from greatest to least (descending order). 15) – 81 , 9 –19, 19, 99, –99, 18 2 _______________________________