A dairy plans to produce 8.5 billion packets of milk in a year. They want a unique ID (identifier) code for each packet. Class 8
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A dairy plans to produce 8.5 billion packets of milk in a year. They want a unique ID (identifier) code for each packet. Class 8
Question 1.
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? Class 8
Solution:
It should consists of 10 digits as 109 < 8.5 billion < 1010.
Question 2.
64 is a square number (82) and a cube number (43). Are there other numbers that are both squares and cubes? Is there a way to describe such numbers in general? Class 8
Solution: Yes. For example, 729 is a square number (272) and a cube number (93), etc. These numbers can be described as (p3)2 and (p2)3, where p is a prime number.