Monday, May 25, 2020

NCERT Solutions for Class 6 Math Chapter 11 Algebra Exercise 11.3

Exercise 11.3



Q 1 - Ex 11.3 - Algebra - NCERT Maths Class 6th - Chapter 11

Page No 233:

Question 1:

Make up as many expressions with numbers (no variables) as you can from three numbers 5, 7 and 8. Every number should be used not more than once. Use only addition, subtraction and multiplication.
(Hint: Three possible expressions are 5 + (8 − 7), 5 − (8 − 7), (5 × 8) + 7;
make the other expressions.)

Answer:

Many expressions can be formed by using the three numbers 5, 7, and 8.
Some of these are as follows.
5 × (8 − 7)
5 × (8 + 7)
(8 + 5) ×7
(8 − 5) ×7
(7 + 5) ×8
(7 − 5) ×8





Question 2:

Which out of the following are expressions with numbers only?
(a) y + 3 (b) (7 × 20) − 8z
(c) 5 (21 − 7) + 7 × 2 (d) 5
(e) 3x (f) 5 − 5n
(g) (7 × 20) − (5 × 10) − 45 + p

Answer:

It can be observed that the expressions in alternatives (c) and (d) are formed by using numbers only.



Q 3 - Ex 11.3 - Algebra - NCERT Maths Class 6th - Chapter 11

Question 3:

Identify the operations (addition, subtraction, division, multiplication) in forming the following expressions and tell how the expressions have been formed.
(a) + 1, z − 1, y + 17, y − 17 (b) 
(c) 2y + 17, 2y − 17 (d) 7m, − 7m + 3, − 7m − 3

Answer:

(a) Addition as 1 is added to z.
Subtraction as 1 is subtracted from z.
Addition as 17 is added to y.
Subtraction as 17 is subtracted from y.
(b) Multiplication as y is multiplied with 17.
Division as y is divided by 17.
Multiplication as z is multiplied with 5.
(c) Multiplication and addition
y is multiplied with 2, and 17 is added to the result.
Multiplication and subtraction
y is multiplied with 2, and 17 is subtracted from the result.
(d) Multiplication as m is multiplied with 7.
Multiplication and addition as m is multiplied with −7, and 3 is added
to the result.
Multiplication and subtractionas m is multiplied by −7, and 3 is
subtracted from the result.



Q 4 - Ex 11.3 - Algebra - NCERT Maths Class 6th - Chapter 11

Question 4:

Give expressions for the following cases.
(a) 7 added to p (b) 7 subtracted from p
(c) p multiplied by 7 (d) p divided by 7
(e) 7 subtracted from − m (f) − p multiplied by 5
(g) − p divided by 5 (h) p multiplied by − 5

Answer:

(a) p + 7
(b) − 7
(c) 7p
(d) 
(e) − m − 7
(f) − 5p
(g) 
(h) − 5p




Q 5 - Ex 11.3 - Algebra - NCERT Maths Class 6th - Chapter 11

Page No 234:

Question 5:

Give expressions in the following cases.
(a) 11 added to 2m
(b) 11 subtracted from 2m
(c) 5 times y to which 3 is added
(d) 5 times y from which 3 is subtracted
(e) y is multiplied by − 8
(f) is multiplied by − 8 and then 5 is added to the result
(g) y is multiplied by 5 and the result is subtracted from 16
(h) y is multiplied by − 5 and the result is added to 16

Answer:

(a) 2m + 11
(b) 2m − 11
(c) 5y + 3
(d) 5y − 3
(e) − 8y
(f) − 8y + 5
(g) 16 − 5y
(h) − 5y + 16



Q 6 - Ex 11.3 - Algebra - NCERT Maths Class 6th - Chapter 11

Question 6:

(a) Form expressions using t and 4. Use not more than one number operation. Every expression must have t in it.
(b) Form expressions using y, 2 and 7. Every expression must have y in it. Use only two number operations. These should be different.

Answer:

(a) t + 4, t − 4, 4t, 4 − t, 4 + t
(b) 2y + 7, 2y − 7, 7y + 2,…

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