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INTEGERS #5 1. Show the following addition operations a) (+1) + (+5) + (-3 ) on the number line. b) (-2) + (-6) + (+2) 2. Simplify the followings. a) (-2)6 = ? b) (+3)3 =? c) (-4)3 =? d) (-5)3 =? e) (-1)4 =? f) (-1)20 =? g) (-1)2006 =? h) (+1)3 =? ı) (+1)99 =? i) (+1)155 =? 3. Simplify each of the followings. a) 4 x (-36) =? c) (+2) + (-7) x (-3) =? b) (-5) x (-21) =? d) (56) (54) x (2) (9) ? Simplify 4. (-72) : (+6) + (-15) . (+2)=? 5. (-109)+(+57) : (+61)+(-65) =? 1 6. (+23)+(-41) - (-15)+(+27) = 8. ( 63 : 7 ) + 35 + 16 - 6 . 3 = 7. 9. [-8 + 2 . 6 ] . [36 : (-4) + 7 ] = (39): (3) (25) (8). (7) =? 10) Find the unknowns. a) (-12) + ( ) = - 8 b) (+15) + ( ) = - 3 c) ( ) + ( - 17 ) = 0 d) ( ) - (-7) = -20 2 11) Let a) a=-2 and b = +3 2a - 6b 12. Rearrange the numbers then calculate b) (-4)x a - 5 x b -5 , -14 , -7 , 15 , 11 , 0 , 9 c) 6a + 2 b in order of size, largest first. 13. Simplify each of the followings. a) (12+165+22) : (13+16)=? b) (28): (4) (32) (7). (6) =? c) [(+9) . (+4)] + [(-8) . (-5)] =? d) 288 : 6 4x 7 = ? 3 14. Find the product of the integers in between -100 and +100. 15. Find the missing numbers. a) ......... - (+6) = (-21) b) ( - 65 ) - .......= (+12) c) (+54) - ....... = - 7 d) (-36) - ....... = - 62 e) .......... - (-13) = + 9 16. Simplify 10 5 . 7 42 : (6) 22 =? 4 8. Find the greatest negative integer whose absolute value is greater than 9 ? 9. Find the greatest negative integer whose absolute value is greater than 4 ? 10. Find the smallest positive integer whose absolute value is greater than 11 ? 11. Find the smallest positive integer whose absolute value is greater than 9 ? 13. Evaluate the followings for x= 4 , y = 6 and z= ( - 2 ) a) 3x – y + 2z b) 5y – 2z + 3z 5