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Transcript
Notes 4.3 Integers and the Number Line The numbers …, –3, -2, -1, 0, 1, 2, … are integers. Integers are divided into three categories: negative integers, zero, and positive integers. On a number line the negative numbers are to the left of zero and the positive integers are to the right of zero. The symbol “-” used to represent negative numbers is a negative sign. You read “-7” as “negative seven.” The symbol “+”, or no symbol is used to represent positive integers. You read “+8” as “positive 8” or “eight”, just like you read “8” as “eight.” In set notation, integers are shown as follows: Z={…, -2, -1, 0, 1, 2, …}; This is read as “Z equals the set whose elements are … URL of the day http://www.learningwave.com/chapte rs/integers/numline.html http://go.hrw.com/resources/go_s c/hst/HSTMW091.PDF homework answers 6) 7) 8) 9) mpa: The numbers are increasing by increments of four. mpa: The numbers are increasing by increments of two. mpa: The numbers are alternating negative and positive incarnations of decreasing absolute values. mpa: The numbers are increasing by increments which are also increasing by one. 10) < 11) > 12) > 13) < 14) false 15) false 16) true 17) -12 18) +5 19) -45 20) -9 21) -9, -8, -3, 0, 3 22) -2.5, -5/4, -1/2, 2, 5.5 23) -7, -5, -4.25, -7/2, -1¾ 24) -6.8, -2.3, -2 1/5, 3/8 25) Sole 26) 1800; 3300; 6000; 15,500; 36,000 27) B 28) A 29) D 30) -18, +20, -15, +30, -3, +8, -18, -15, -3, +8, +20, +30; profit