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) $ 17 y, \frac{y}{17}, 5 z $
(c) $ 2 y+17,2 y-17 $
(d) $ 7 m,-7 m+3,-7 m-3 $
To do:
We have to identify the operations (addition, subtraction, division, multiplication) in forming the given expressions and tell how the expressions have been formed.
Solution:
(a) $z + 1$ --> 1 is added to $z$
Addition operation is used
$z - 1$ --> 1 is subtracted from $z$
Subtraction operation is used
$y + 17$ --> 17 is added to $y$
Addition operation is used
$y - 17$ --> 17 is subtracted from $y$
Subtraction operation is used
(b) $17y$ --> $y$ is multiplied by 17
Multiplication operation is used
$\frac{y}{17}$ --> $y$ is divided by 17
Division operation is used
$5z$ --> $z$ is multiplied by 5
Multiplication operation is used
(c) $2y + 17$ --> $y$ is multiplied by 2 and 17 is added to the result
Multiplication and addition operations are used
$2y - 17$ --> $y$ is multiplied by 2 and 17 is subtracted from the result
Multiplication and subtraction operations are used
(d) $7m$ --> $m$ is multiplied by 7
Multiplication operation is used
$-7m + 3$ --> $m$ is multiplied by $-7$ and 3 is added to the result
Multiplication and addition operations are used
$-7m - 3$ --> $m$ is multiplied by $-7$ and 3 is subtracted from the result
Multiplication and subtraction operations are used.
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