find the rational number between the following 4 and 5
Answers
Answer:
Any 5 rational numbers between 4 and 5 are 4.1, 4.2, 4.3, 4.4, 4.5
Step-by-step explanation:
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Answer:
What are the rational numbers between 4 and 5?
Question: What are the rational numbers between 4 and 5?!
Remember: A rational number is any number that can be expressed as the quotient of two integers, that is, it can be expressed as a/b, where both a and b are integers and b does not equal zero; The fraction 1/5 satisfies the definition of a rational number because both 1 and 5 are integers, and it is already expressed in the required form of a/b, i.e., 1/5. Other examples of rational numbers are: 1/2, 3/4, 22/7, 5 = 5/1, and -.6 = -6/10 = -3/5.
Answer to the given question: There are an INFINITE NUMBER of rational numbers between 4 and 5.
For example: Just between 4 to 4.1, alone, we have:
From greater to lesser:
4.1 (1 decimal place) = 4 and 1/10 = 41/10
4.01 (2 decimal places) = 4 and 1/100 = 401/100
4.001 (3 decimal places) = 4 and 1/1000 = 4001/1000
4.0001 (4 decimal places) = 4 and 1/10000 = 40001/10000
4.00001 (5 decimal places = 4 and 1/100000 = 400001/100000
4.000001 (6 decimal places) = 4 and 1/1000000 = 4000001/1000000
4.0000001 (7 decimal places)= 4 and 1/10000000 = 40000001/10000000
4.00000001 (8 decimal places) = 4 and 1/100000000 = 400000001/100000000
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4.0000000000000000000000000000 ...00000000000001 (n decimal places) where n is a positive integer that can be as large as you want!
Step-by-step explanation:
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