question_answer 1)

Identify the operations (addition, subtraction, division, multiplication) in forming the following expressions and tell how the expressions have been formed. (a) \[z+1,z-1,y+17,y-17\]                                               (b) \[17y,\frac{y}{17},5z\] (c) \[2y+17,2y-17\]                                                          (d) \[7m,-7m+3,-7m-3\]                

Answer:

                (a)  (i) \[z+1,\] Here, operation is addition and expression is formed by adding 1 to \[z\]. (ii) \[z-1,\] Here, operation is subtraction and expression is formed by subtracting 1 from \[z\]. (iii) \[y+17,\] Here, operation is addition and expression is formed by adding 17 to \[y\]. (iv) \[y-17,\] Here, operation is subtraction and expression is formed by subtracting 17 from \[y\]. (b) (i) \[17y,\] Here, operation is multiplication and expression is formed by multiplying \[y\] by 17. (ii) \[\frac{y}{17},\]Here, operation is division and expression is formed by dividing \[y\] by 17. (iii) \[5z,\] Here, operation is multiplication and expression is formed by multiplying \[z\] by 5. (i) \[2y+17,\] Here, operation is multiplication and addition and to form an expression firstly 2 is multiplied by y and then 17 is added to \[2y\]. (ii) \[2y-17,\] Here, operation is multiplication and subtraction and to form an expression, firstly \[y\] is multiplied by 2 and then 17 is subtracted from \[2y\]. (d) (i) \[7m,\] Here, operation is multiplication and expression is formed on multiplying m by 7. (ii) \[-7m+3,\] Here, operation is multiplication and addition and, to form an expression, firstly m is multiplied by \[(-7)\] and then 3 is added to \[-7m\]. (iii) \[-7m+3,\] Here, operation is multiplication and subtraction and to form an expression, firstly m is multiplied by \[(-7)\] and then is 3 subtracted from \[-7m\].