‘Absolute Value Absolute value is the distance between a number and zero on the number fine in negative direction. Since distance is positive, the absolute value of a number is always pesitive. Absolute value is denoted with the sign | | 5 units 5 units Para a S D e 87 -65-43-210123 45678 ‘The distance between -5 and 0 is 5 units, so is the distance between 0 and 5 and we write |-5| = 5, and [5] Examplet: Whether you take two steps forward (+2) or two steps backward (~2), you only took twe steps from your original location which was zero. So, the ‘absolute value of your movement is 2, and we write: |2| = 2 or |-2| = 2 Example 2: A com seed grew roots1foot deep below ground level and a stub that extended 4 feet above ground level. What was the distance between the root of the plant and the top of its stub? 1, Think: 4 feet above ground level is written as 4 1 foot below ground level is written as -1 Since distance is always positive, add the absolute value of the two numbers to get the distance. uy eee id round it 2. saa To d= Breet ba b+‘Absolute value is the distance a number is from zero on a number line. Distances are always positive, so ‘absolute value is always postive. Example: Find the absolute value of -3. a) Graph-3 ona rumber line S2a01234 b) The distance between-3 and 0is_3 2) S,/-3] = _3 1) Find the absolute value of 2. a) Graph 2ona nunber ine. b) The distance between 2and 0 is $0, [21 = 2) Find the absolute value of 2. a). Graph-2.0n a nunber line b) The distance between -2 and 0s. ) $0, [-2) 3) Find the absolute value of -5. 2) Graph-S ona number line. b) The distance between -5 and 0s @) S, 15] =__.4 Find the absolute value of 4. a). Graph 4 ona number line, b). The distance between 4 and O's. ©) 50,4) 5) Find the absolute value of -1. 8) Graph -1 on number ine. b) The distance between -1 and 0is $0, |-1) Word Problems. 6) At 12:00 a.m. the temperature was 0°F. By 4:00 a.m, the temperature dropped to five degrees below zero, a) Write an integer to represent the 4:00 a.m, temperature. 'b) Find the absolute value ofthis integer to determine the distance its from zero, 1 7) Sally srunning a marathon. After running thirteen miles, she stops to rest. 8) Write an integer to represent the distance she ran. b) Find the absolute valve ofthis integer to determine the distance itis from zero, tie 8) _Jackowes $63 on his ereit card. b) Write an integerto represent the amount he owes, b) Find the absolute value ofthis integer to determine the amount he will pay the credit card company.Free Math Worksheets @ hitp:/www.mathworkshetetkigecomFree Math Workehests @ hp //anww.mathoworksheetiids comName: = _______________m Score Teacher, pate 1) Absolute value of 31is___ 2.) Absolute value of 17is____ 3.) Absolute value of 19is__ 4.) Absolute value of 35is___ 5) Absolute value of 79is__ 6) Absolute value of -77 is 7) Absolute value of 10is__—» 8) Absolute value of 97 is____ 9) Absolute value of -2is___ 10) Absolute value of 60 is 11) Absolute value of 85is__-- 12.) Absolute value of 99 is 13) Absolute value of 63is___—=» 14.) Absolute value of 29 is___ 15) Absolute value of 33is___-» 16.) Absolute value of 87 is 17) Absolute value of S5is__- 18) Absolute value of -98 is 19) Absolute value of 41is__- 20) Absolute value of -71is____ 21) Absolute value of 82is__—=S»- 22) Absolute value of 6is____ 23) Absolute value of 51is__-«24) Absolute value of -53is____ 25) Absolute value of 38is__ 26) ‘Absolute value of 10 is 27) Absolute value of 80is__—=»- 28) Absolute value of -48 is 29.) Absolute value of 79 is 30) Absolute value of -61 isIntegers, Opposites, Absolute Value — Worksheet #2 Write the integer that can be used to represent the situation, 1) adebt of $60 2) 10 strokes under par 3) 400 feet above sea level 4) aloss of 15 yards 5) a surplus of 8 computers Insert the correct comparison symbol. (<,>,=) 6 «Ll-0 7 -7LIo » sLiisi 9 \4if ]3 10) |-21] }16!) 11) 131] ]I41 1 5 ]I-51 13) of fi-91 4 1-21, J 1-71 ‘Order the following lists from least to greatest. 15) -5, |-3|, -9, |2}, -1 16) -2, 11, |-20|, |S], -1 17) (15), 8, |-31, 0, 1-6)AL. NOTE: Ineach section, do NOT connect the ast point back to first point an “0 Dam Des Gam en Oem ea Oe» Oe Om os ae) des a O20 Gam oes Ow uo isa = O82 Gem iss Dem oes Dam es Cie os Osa oe Dew ous Oem g ew an» Dew av Oem aa Ges oes Oew aa 4 Oe 4 De a (839 2 6 am a OF 6a m an 2 Ooo 13) 44 ay Daw Oem Daw Daw Ges Dew Oa Bass, Baas oooooo000 Oooo oo cs) (6.8) an 9.7) (19.6) (10.5) 19.4) way 16.5) (66) oooooo0000) gooooo000 dooooooo00000 an ven en et (70) (a (9.0) (3.2) (20,2) 0.1) (9.2) 47.2) oooooooo00000} 1.16) 3.16) aus) (18) 36) ooo00 (2.6) (319) a) ae ooo00 Q Qo Des o a