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Is five a rational number?
A Rational Number can be made by dividing two integers….Example:
| Number | As a Fraction | Rational? |
|---|---|---|
| 5 | 5/1 | Yes |
| 1.75 | 7/4 | Yes |
| .001 | 1/1000 | Yes |
| −0.1 | −1/10 | Yes |
Is 5 a rational number Justify your answer?
justification : let log10 5 is a rational number then it is in the form of P/Q , where P and Q are positive integers. we know, 5 and 2 are prime numbers. so there is no integer multiple of 5 equal to 3 and vice – versa.
Why root 5 is an irrational number?
So it can be expressed in the form p/q where p,q are co-prime integers and q≠0. Hence, p,q have a common factor 5. This contradicts our assumption that they are co-primes. So, root 5 is an irrational number.
How do you prove √ 2 is irrational?
Proof that root 2 is an irrational number.
- Answer: Given √2.
- To prove: √2 is an irrational number. Proof: Let us assume that √2 is a rational number. So it can be expressed in the form p/q where p, q are co-prime integers and q≠0. √2 = p/q.
- Solving. √2 = p/q. On squaring both the sides we get, =>2 = (p/q)2
Which is the smallest irrational number?
The smallest irrational number is – root2 since 3+ root2 +(-root2)= 3+root2-root2=3( a rational number).
Is the number 5 an integer or a rational number?
In this regard, is 5 a rational number? Every integer is a rational number, since each integer n can be written in the form n/1. For example 5 = 5/1 and thus 5 is a rational number. However, numbers like 1/2, 45454737/2424242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers.
Can a rational number be expressed as a fraction?
A rational number is a number that can be expressed as a fraction where both the numerator and the denominator in the fraction are integers. The denominator in a rational number cannot be zero. The denominator in a rational number cannot be zero.
Is the number 5 a positive or negative number?
Answer and Explanation: Negative 5, or -5, is a rational number. Rational numbers can be either positive or negative. They just need to be the quotient that results when one integer is divided by another. Is is a rational number? Rational Number.
Is the square root of 2.5 a rational number?
Even though 2.5 is a decimal and is a decimal with exponentially repeating numbers, they are rational numbers because both of them can be converted to rational expressions in the form of a fraction: Pi and the square root of 2 are irrational numbers because there is no possible way to convert them into a fraction.