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               \ 29-Jan-2025                      Surender Prajapati   Proof-6             Reader’s Sign _______________________ Date __________




                                                     Answers





                                  Chapter 1: Integers                   4.  (a)  1   (b)  –90   (c)  2   (d)  0.5
                Let’s Recall                                            5.  –144   6.  –24
                  1.  –1, 0, –9 (Answer may vary)   2.  (–3) + 4 + (–6)  7.  (a)  At midnight   (b)  –6 °C
                  3.  –4, 1 (Answer may vary)   4.  2760 m              8.  (a)  12   (b)  22     9.  (a) 480   (b)  960
                  5.  (a)  (–7)  (b)  (–18)  (c)  (–9)               Practice Time 1D
                Think and Answer                                        1.  0         2.  –26     3.  –16     4.  28
                  1.  1          2.  –1                                 5.  15        6.  7       7.  –1      8.  24
                Quick Check                                          Maths Connect
                     (a)  –13   (b)  24   (c)  –1   (d)  8   (e)  0       (a)  0      (b)  +4     (c)  –8
                Life Skills                                          Mental Maths
                     Roma scored 5 marks more than Ruhi.                1.  6         2.  –2
                Practice Time 1A                                     Chapter Assessment
                  1.  (a)  – 17   (b)  8     (c)  78     (d)  100    A.  1.  (b)      2.  (b)     3.  (c)     4.  (c)
                  2.  (a)  –17, –13, –7, 3, 11, 15   (b)  –15, –10, –9, –1, 0, 2, 12  5.
                  3.  (a)  51, 10, –2, –6, –15, –27, –35   (b)  –59, –70, –79, –84, –100  (d)    6.  (b)
                  5.  (a)  >     (b)  <      (c)  >                  B.  1.  (d)    2.  (b)
                  6.  (a)  –1, –8   (b)  –10, 1   (c)  –3, 1         C.   (a) - (vi)  (b) - (iii)  (c) - (v)  (d) - (vii)  (e) - (viii)
                     (Answers may vary)                                   (f) - (iv)  (g) - (ii)  (h) - (ix)  (i) - (i)
                  7.  –34        8.  –155                            D.  1.  y, x, z,   2.  a   3.  12, 5   4.  –4   5.  40
                  9.  (a)  0, Existence of Additive inverse          E.  1.  (a)  –240   (b)  –3   (c)  –26   (d)  0   (e)  500
                     (b)  –18, Existence of Additive inverse            2.  (a)  19   (b)  13   3.  5, –3   4.  39 seconds
                     (c)  –7, commutative property   (d)  (–28), Associative property  5.  260°C   7.  20 bees decreases per day
                     (e)  0, Additive identity                          8.  23 January  9.  17 m
                  10.  47,000 ft    11. `1450   12. 12               Brain Sizzlers
                Quick Check                                               Imran – 10:01 p.m., Ruhi – 10:01 p.m., Roma – 10:03 p.m.,
                        x –3 –2 –1 0  1  2  3                             Sumit – 10:06 p.m., Sonam – 10:10 p.m.
                        –3 9  6  3  0 –3 –6 –9
                        –2 6  4  2  0 –2 –4 –6                                    Chapter 2: Fractions and Decimals
                        –1 3  2  1  0 –1 –2 –3                       Let’s Recall
                        0  0  0  0  0  0  0  0
                        1 –3 –2 –1 0  1  2  3                           1.  (a)  Improper fraction, simplest form (b)  Improper fraction, simplest form
                        2 –6 –4 –2 0  2  4  6                             (c)  Mixed fraction, in simplest form  (d)  Proper fraction
                        3 –9 –6 –3 0  3  6  9                             (e)  Mixed fraction       (f)  Proper fraction, simplest form
                     (a)  (–2) × 3 = –6  (b)  3 × (–3) = –9               (g)  Proper fraction, simplest form
                Quick Check                                             2.  5 3 2 7
                                                                            ,, ,
                     (a)  –1     (b)  1                                    12 5 3 10
                Think and Answer                                             8 2         1   9         7  55     17
                                                                              ,
                     (c)  (–3) × (–3) × (–3) × (–3) × (–3)              3.  (a)   5 5  (b)   11  1 ,  11  (c)  3 112  7 ,  112    4.   180
                Quick Check                                          Practice Time 2A
                     (a)  Distributive property of multiplication over subtraction  1     8           2           1
                     (b)  Associative property   (c)  Multiplication by 0  1.  (a)  4 7  (b)  2 13  (c)  9 9  (d)  2 50
                     (d)  Multiplicative identify
                Practice Time 1B                                        2.  (a)   45  (b)   78    (c)   49    (d)   65
                  1.  (a)  77    (b)  –132   (c)  –9     (d)  428            7           7           11          9
                  2.  (a)  128   (b)  –221   (c)  –399   (d)  980            6 9 12      4 8 16      22 33 44
                                                                                ,
                                                                                          ,
                                                                                                       ,
                                                                                                         ,
                                                                                             ,
                                                                              ,
                     (e)  –13,200   (f)  120                            3.  (a)   8 12 16  (b)   7 14 28  (c)   28 42 56
                  3.  (a)  1     (b)  1      (c)  –1     (d)  1
                  4.  (a)  0     (b)  –1     (c)  –23    (d)  –11         (d)   28 42 56
                                                                               ,
                                                                                 ,
                     (e)  103    (f)  (–2)                                   50 75 100
                  5.  (a)  –5075   (b)  –1716   (c)  –4   (d)  1200          21          2           3           4
                     (e)  436    (f)  2,11,970                          4.  (a)       (b)         (c)         (d)
                  7.  (a)  –ve   (b)  +ve    (c)  +ve    (d)  –ve            49          5           7           6
                  8.  0          9.  Loss of `3000                      5.   21          11
                  10.  2°C, 20°C to 25°C or 68 °F to 77 °F                (a)   18    (b)   35
                Life Skills                                                    3  6  5 11            7  3 1  5
                                                                                 <
                     504 feet                                           6.  (a)  (i)   42 21  < <  (ii)   48  << <
                                                                                     7 14
                                                                                                        8
                                                                                                           2 6
                Practice Time 1C                                               11 16  13  5          2  5  3  1
                  1.  (a)  –4   (b)  –7   (c)  8   (d)  5   (e)  –1       (b)  (i)   >  >  >      (ii)   >  >  >
                  2.  (a)  –17   (b)  –2   (c)  –29   (d)  0   (e)  –12        10  21  35 14         3 16 18 12
                     (f)  –20   (g)  –225                               7.    11      1       7     (d)  1    77
                                                                                                      5
                  3.  (a)  –101   (b)  –34   (c)  –81   (d)  –16          (a)  6 12  (b)  6 18  (c)  2 40  6  (e)  4 144
                                                                  355
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