Class 8 Maths Ganit Prakash Chapter 2 Power Play – Unique ID Code for Milk Packets

Class 8 Maths Ganit Prakash Chapter 2 Power Play | 8.5 Billion Milk Packets Unique ID Code

Unique ID codes for 8.5 billion milk packets is the focus of this interesting question from Class 8 Maths Ganit Prakash Chapter 2 – Power Play. In this question, a dairy plans to produce 8.5 billion packets milk packets in a year and wants to assign a unique ID code to each packet. The challenge is to determine the minimum number of digits required so that every packet can have a different code.

Question:A dairy plans to produce 8.5 billion packets of milk in a year. They want a unique ID (identifier) code for each packet. If they choose to use the digits 0–9, how many digits should the code consist of?

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Solution

The dairy needs to produce:

8.5 billion packets

We know that:

1 billion = 1,000,000,000

Therefore,

8.5 billion = 8,500,000,000

So, the dairy needs to assign a unique ID code to 8,500,000,000 packets.

If code is of 1 digit,then codes generated are from 0 to 9 that are 10 codes

If code is of 2 digit,then codes generated are =10 x 10 =102

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Class 8 Maths – Ganit Prakash Chapter 2: Power Play

This question is based on large numbers and the use of digits to create unique identifiers. It helps students understand how the number of digits changes as numbers become larger and how to determine the minimum number of digits needed to represent a large quantity.

If you are studying Class 8 Maths Ganit Prakash Chapter 2 – Power Play, practise more questions involving large numbers, place value, and number representation.

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Watch complete Solution of Class 8 Maths Chapter 2 Power Play

Similar Questions Class 8 Maths Ganit Prakash Chapter 2 Power Play

Q1.Roxie has 7 dresses, 2 hats, and 3 pairs of shoes. How many different ways can Roxie dress up? (Page 26)

Q2.Write the number of lotuses (in exponential form) when the pond was
(i) fully covered
(ii) half covered (Page 25)

Q3.Estu says, “Next time I will buy a lock that has 6 slots with the letters A to Z. I feel it is safer.”
How many passwords are possible with such a lock? (Page 27)

Q4.Estu and Roxie came across a safe containing old stamps and coins that their great-grandfather had collected. It was secured with a 5-digit password. Since nobody knew the password, they had no option except to try every password until it opened. They were unlucky, and the lock only opened with the last password, after they had tried all possible combinations. How many passwords did they end up checking? (Page 26)

Q5:Say you can fold a sheet of paper as many times as you wish. What would its thickness be after 30 folds? Make a guess. Let us find out how thick a sheet of paper will be after 46 folds. Assume that the thickness of the sheet is 0.001 cm.

Q6:Which expression describes the thickness of a sheet of paper after it is folded 10 times? The initial thickness is represented by the letter-number v.

(i) 10v (ii) 10 + v (iii) 2 × 10 × v (iv) 2¹⁰ (v) 2¹⁰v (vi) 10²v

Q7:Express the number 32400 as a product of its prime factors and represent the prime factors in their exponential form.

8:What is (−1) 5 ? Is it positive or negative? What about (−1) 56 ?

Q9:Is (−2) 4 = 16? Verify.

Q10. Express the following in exponential form:

(i) 6×6×6×6

(ii) y× y

(iii) b×b×b×b

(iv) 5×5×7×7×7

(v) 2×2×a×a

(vi) a×a×a×c×c×c×c×d

Class 10 Maths Most Important Questions on Real Numbers

Class 10 Maths Most Important Questions Chapter 1 Real Numbers

Class 10 Maths Basic Sample Paper Solution:

Practise with the Complete CBSE Basic Sample Paper Solution

Class 10 Maths NCERT Solutions CBSE 2026-27 Update

Continue your Class 10 Maths preparation with these useful resources from Future Study Point:

Class 10 Maths Chapter 1 – Real Numbers: Complete NCERT Exercise-Wise Video Solutions

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Class 10 Maths Chapter 5 Arithmetic Progression: Arithmetic Progression: complete video solution

👉 Explore these resources to strengthen your concepts, revise important topics, and prepare effectively for the CBSE Board Examination 2026–27.

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