Question

Please help in my maths homework

Answer 1

$4. \\ i.)23 \\ = ( - 23) \times ( - 1) \\ ii.) - 47 \\ = 47 \times ( - 1) \\ iii.)0 \\ = 0 \times ( - 1)$

$3. \\ i. ) \\ 23 \times (7 + ( - 2)) = 23 \times 7 + 23 \times ( - 2) \\ 23 \times (7 - 2) = 23 \times 7 + 23 \times ( - 2) \\ 23 \times 5 = 161 + ( - 46)\\ 115 = 161 - 46 \\ 115 = 115$

$ii.) \\ r.h.s.( - 18) \times (( - 3) + ( - 5)) \\ = ( - 18) \times ( - 8) \\ = 144 \\ \\ l.h.s. \\ (( - 18) \times ( - 3)) + (( - 18) \times ( - 5)) \\ = 54 + 90 \\ = 144 \\ \\ 144 = 144$

$4. \\ i.) \\ ( - 5) \times 19 \times ( - 60) \\ = 570 \\ ii.) \\ 25 \times 31 \times ( - 4) \\ ( - 3100) \\ iii.) \\ 97 \times 25 \times ( - 2) \times ( - 4) \\ = 19400 \\ iv.) \\ ( - 2) \times 4896 \times ( - 5) \\ = 48960$

$6. \\ i.) \\ b \times (a - c) = b \times a + b \times c \\ ( - 2) \times (3 - ( - 1) = - 2 \times (3 + ( - 1)) \\ ( - 2) \times 4 = ( - 2) \times 2 \\ - 8 = - 4 \\ not \: verified \: \: \\ ii.) \\ b \times c \times a = a \times b \times c = c \times a \times b \\ - 2 \times - 1\times 3 = 3 \times - 2 \times - 1 = \\ - 1 \times - 2 \times 3 \\ 6 = 6 = 6 \\ iii.) \\ b \times c = c \times b \\ - 2 \times 3 = 3 \times - 2 \\ - 6 = - 6$

$7. \\ i.) \\ = 2 \times 5 - (2 + 7) \\ = 10 - 9 = 1 \\ ii.) \\ = - 4 \times - 6 - ( - 4 + - 6) \\ = 24 - ( - 10) \\ = 24 + 10 \\ = 34 \\ iii.) \\ 13 \times - 6 - (13 - - 6) \\ = - 78 - 19 \\ = - 97 \\ iv.) \\ - 7 \times 5 - ( - 7 + 5) \\ = - 35 - ( - 2) \\ = - 35 + 2 \\ = - 33$

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