NCERT Solutions for Class 7 Maths Exercise 12.4

NCERT Solutions for Class 7 Maths Exercise 12.4 book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class 7 Maths chapter wise NCERT solution for Maths Book all the chapters can be downloaded from our website and myCBSEguide mobile app for free.

NCERT solutions for Maths Algebraic Expressions Download as PDF

NCERT Solutions for Class 7 Maths Algebraic Expressions

Class –VII Mathematics (Ex. 12.4)

Question 1.Observe the patterns of digits made from line segments of equal length. You will find such segmented digits on the display of electronic watches or calculators.

(a) … …

1. 11 16 21… {tex}\left( {5n + 1} \right)…{/tex}

(b)

1. 7 10 13… {tex}\left( {3n + 1} \right)…{/tex}

(c) …

7 121722…

If the number of digits formed is taken to be {tex}n,{/tex} the number of segments required to form {tex}n{/tex} digits is given by the algebraic expression appearing on the right of each pattern.

How many segments are required to form 5, 10, 100 digits of the kind

Answer:

S. No.	Symbol	Digit’s number	Pattern’s Formulae	No. of Segments
(i)		5	{tex}5n + 1{/tex}	26
		10		51
		100		501
(ii)		5	{tex}3n + 1{/tex}	16
		10		31
		100		301
(iii)		5	{tex}5n + 2{/tex}	27
		10		52
		100		502

Putting {tex}n = 5,{/tex} 5 x 5 + 1 = 25 + 1 = 26(i) {tex}5n + 1{/tex}

Putting {tex}n = 10,{/tex} 5 x 10 + 1 = 50 + 1 = 51

Putting {tex}n = 100,{/tex} 5 x 100 + 1 = 500 + 1 = 501

(ii) {tex}3n + 1{/tex}

Putting {tex}n = 5,{/tex} 3 x 5 + 1 = 15 + 1 = 16

Putting {tex}n = 10,{/tex} 3 x 10 + 1 = 30 + 1 = 31

Putting {tex}n = 100,{/tex} 3 x 100 + 1 = 300 + 1 = 301

(iii) {tex}5n + 2{/tex}

Putting {tex}n = 5,{/tex} 5 x 5 + 2 = 25 + 2 = 27

Putting {tex}n = 10,{/tex} 5 x 10 + 2 = 50 + 2 = 52

Putting {tex}n = 100,{/tex} 5 x 100 + 2 = 500 + 2 = 502

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NCERT Solutions for Class 7 Maths Exercise 12.4

Question 2.Use the given algebraic expression to complete the table of number patterns:

S.No.	Expression	Terms
		1st	2nd	3rd	4th	5th	…	10th	…	100th	…
(i)	{tex}2n – 1{/tex}	1	3	5	7	9	—	19	—	—	—
(ii)	{tex}3n + 2{/tex}	2	5	8	11	—	—	—	—	—	—
(iii)	{tex}4n + 1{/tex}	5	9	13	17	—	—	—	—	—	—
(iv)	{tex}7n + 20{/tex}	27	34	41	48	—	—	—	—	—	—
(v)	{tex}{n^2} + 1{/tex}	2	5	10	17	—	—	—	—	10001	—

(i) {tex}2n – 1{/tex}Answer:

Putting {tex}n = 100,{/tex} 2 x 100 – 1 = 200 – 1 = 199

(ii) {tex}3n + 2{/tex}

Putting {tex}n = 5,{/tex} 3 x 5 + 2 = 15 + 2 = 17

Putting {tex}n = 10,{/tex} 3 x 10 + 2 = 30 + 2 = 32

Putting {tex}n = 100,{/tex} 3 x 100 + 2 = 300 + 2 = 302

(iii) {tex}4n + 1{/tex}

Putting {tex}n = 5,{/tex} 4 x 5 + 1 = 20 + 1 = 21

Putting {tex}n = 10,{/tex} 4 x 10 + 1 = 40 + 1 = 41

Putting {tex}n = 100,{/tex} 4 x 100 + 1 = 400 + 1 = 401

(iv) {tex}7n + 20{/tex}

Putting {tex}n = 5,{/tex} 7 x 5 + 20 = 25 + 20 = 55

Putting {tex}n = 10,{/tex} 7 x 10 + 20 = 70 + 20 = 90

Putting {tex}n = 100,{/tex} 7 x 100 + 20 = 700 + 20 = 720

(v) {tex}{n^2} + 1{/tex}

Putting {tex}n = 5,{/tex} 5 x 5 + 1 = 25 + 1 = 26

Putting {tex}n = 10,{/tex} 10 x 10 + 1 = 100 + 1 = 101

Putting {tex}n = 100,{/tex} 100 x 100 + 1 = 10000 + 1 = 10001

Now complete table is,

S.No.	Expression	Terms
		1st	2nd	3rd	4th	5th	…	10th	…	100th	…
(i)	{tex}2n – 1{/tex}	1	3	5	7	9	—	19	—	199	—
(ii)	{tex}3n + 2{/tex}	2	5	8	11	17	—	32	—	302	—
(iii)	{tex}4n + 1{/tex}	5	9	13	17	21	—	41	—	401	—
(iv)	{tex}7n + 20{/tex}	27	34	41	48	55	—	90	—	720	—
(v)	{tex}{n^2} + 1{/tex}	2	5	10	17	26	—	101	—	10001	—

NCERT Solutions for Class 7 Maths Exercise 12.4

NCERT Solutions for Class 7 Maths Exercise 12.4 PDF (Download) Free from myCBSEguide app and myCBSEguide website. Ncert solution class 7 Maths includes text book solutions from Class 7 Maths Book . NCERT Solutions for CBSE Class 7 Maths have total 15 chapters. 7 Maths NCERT Solutions in PDF for free Download on our website. Ncert Maths class 7 solutions PDF and Maths ncert class 7 PDF solutions with latest modifications and as per the latest CBSE syllabus are only available in myCBSEguide.

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