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, y / 17, 5z
(c) 2y + 17, 2y – 17
(d) 7m, -7m + 3, -7m – 3

Solution:

We will use the concepts of algebra to identify the operations (addition, subtraction, division, multiplication) in forming the given expressions.

(a) z + 1 = 1 is added to z (Addition)
 z – 1 = 1 is subtracted from z (Subtraction) 
 y + 17 = 17 is added to y (Addition) 
 y – 17 = 17 is subtracted from y (Subtraction) 

(b) 17y = y is multiplied by 17 (Multiplication) 
y / 17 = y is divided by 17 (Division) 
5z = z is multiplied by 5 (Multiplication) 

(c) 2y + 17 = y is multiplied by 2 and 17 is added to the result (Multiplication and addition)
 2y – 17 = y is multiplied by 2 and 17 is subtracted from the result (Multiplication and subtraction) 

(d) 7m = m is multiplied by 7 (Multiplication) 
- 7m + 3 = m is multiplied by -7 and 3 is added to the result (Multiplication and addition) 
- 7m – 3 = m is multiplied by -7 and 3 is subtracted from the result (Multiplication and subtraction)

NCERT Solutions for Class 6 Maths Chapter 11 Exercise 11.3 Question 3

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, y / 17, 5z (c) 2y + 17, 2y – 17 (d) 7m, -7m + 3, -7m – 3

Summary:

(a) Addition operation can be identified in z + 1, subtraction operation can be identified in z - 1, addition operation can be identified in y + 17, subtraction operation can be identified in y - 17 (b) Multiplication operation can be identified in 17y, division operation can be identified in y/17, multiplication operation is identified in 5z (c) Multiplication and addition operations can be identified in 2y + 17, multiplication and subtraction operation can be identified in 2y - 17 (d) Multiplication operation can be identified in 7m, multiplication and addition operations can be identified in -7m + 3, multiplication and subtraction operations can be identified in -7m - 3

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