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.
If the number of digits formed is taken to be n, the number of segments required to form n 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 6, 4, 8.
Solution:
Putting values of n = 5, 10, and 100 in the pattern formulae.
(i) 5n +1
For n = 5,
⇒ 5 × 5 +1 = 25 +1
= 26
For n = 10,
⇒ 5 × 10 + 1 = 50 +1
= 51
For n = 100,
⇒ 5 × 100 + 1 = 500 + 1
= 501
(ii) 3n +1
For n = 5,
⇒ 3 × 5 + 1 = 15 +1
= 16
For n = 10,
⇒ 3 × 10 + 1 = 30 +1
= 31
For n = 100,
⇒ 3 × 100 + 1 = 300 +1
= 301
(iii) 5n + 2
For n = 5,
⇒ 5 × 5 + 2 = 25 + 2
= 27
For n = 10,
⇒ 5 × 10 + 2 = 50 + 2
= 52
For n = 100,
⇒ 5 × 100 + 2 = 500 + 2
= 502
☛ Check: Class 7 Maths NCERT Solutions Chapter 12
Video Solution:
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. If the number of digits formed is taken to be n, the number of segments required to form n 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.
Maths NCERT Solutions Class 7 Chapter 12 Exercise 12.4 Question 1
Summary:
We have observed the patterns of digits made from line segments of equal length. f the number of digits formed is taken to be n, the number of segments required to form n digits is given by the algebraic expression appearing on the right of each pattern, The number of segments required to form 5, 10, 100 digits of the kind 6,4,8, Putting values of n = 5, 10, and 100 in the pattern formulae. (i) 5n +1 are 26, 51, 501 (ii) 3n +1 are 16, 31, 301 (iii) 5n + 2 are 27, 52, 502
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