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Give three examples to prove that, if p and q are two integers, then p/q is not necessarily an integer.?
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Give three examples to prove that, if p and q are two integers, then p...
Examples to prove that p/q is not necessarily an integer
Example 1: p=3 and q=4
- When p=3 and q=4, p/q=3/4=0.75
- 0.75 is not an integer, as it has a decimal component that is not equal to zero
- Therefore, p/q is not necessarily an integer
Example 2: p=5 and q=2
- When p=5 and q=2, p/q=5/2=2.5
- 2.5 is not an integer, as it has a decimal component that is not equal to zero
- Therefore, p/q is not necessarily an integer
Example 3: p=8 and q=3
- When p=8 and q=3, p/q=8/3=2.666666...
- 2.666666... is not an integer, as it has a decimal component that is not equal to zero
- Therefore, p/q is not necessarily an integer
Explanation
The examples above show that if p and q are two integers, then p/q is not necessarily an integer. This is because the result of dividing two integers can be a decimal number that is not equal to zero. In other words, the quotient of two integers can be a fraction or a decimal number.
For example, if we have p=3 and q=4, then p/q=3/4=0.75. This is not an integer because it has a decimal component that is not equal to zero. Similarly, if we have p=5 and q=2, then p/q=5/2=2.5. Again, this is not an integer because it has a decimal component that is not equal to zero.
Therefore, it is important to remember that the result of dividing two integers may or may not be an integer, and we need to be aware of this when working with fractions and decimals.
Example 1: p=3 and q=4
- When p=3 and q=4, p/q=3/4=0.75
- 0.75 is not an integer, as it has a decimal component that is not equal to zero
- Therefore, p/q is not necessarily an integer
Example 2: p=5 and q=2
- When p=5 and q=2, p/q=5/2=2.5
- 2.5 is not an integer, as it has a decimal component that is not equal to zero
- Therefore, p/q is not necessarily an integer
Example 3: p=8 and q=3
- When p=8 and q=3, p/q=8/3=2.666666...
- 2.666666... is not an integer, as it has a decimal component that is not equal to zero
- Therefore, p/q is not necessarily an integer
Explanation
The examples above show that if p and q are two integers, then p/q is not necessarily an integer. This is because the result of dividing two integers can be a decimal number that is not equal to zero. In other words, the quotient of two integers can be a fraction or a decimal number.
For example, if we have p=3 and q=4, then p/q=3/4=0.75. This is not an integer because it has a decimal component that is not equal to zero. Similarly, if we have p=5 and q=2, then p/q=5/2=2.5. Again, this is not an integer because it has a decimal component that is not equal to zero.
Therefore, it is important to remember that the result of dividing two integers may or may not be an integer, and we need to be aware of this when working with fractions and decimals.
Community Answer
Give three examples to prove that, if p and q are two integers, then p...
It is not possible that p/q is not necessary because according to rule p/q is necessary for a rational number. Another rule is for as a rational number -- p and q are integers and q is not equal to zero...
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Give three examples to prove that, if p and q are two integers, then p/q is not necessarily an integer.?
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Give three examples to prove that, if p and q are two integers, then p/q is not necessarily an integer.? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Give three examples to prove that, if p and q are two integers, then p/q is not necessarily an integer.? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Give three examples to prove that, if p and q are two integers, then p/q is not necessarily an integer.?.
Give three examples to prove that, if p and q are two integers, then p/q is not necessarily an integer.? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Give three examples to prove that, if p and q are two integers, then p/q is not necessarily an integer.? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Give three examples to prove that, if p and q are two integers, then p/q is not necessarily an integer.?.
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