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Can a number be both rational and irrational diagram to explain?
Wiki User
∙ 11y ago
No, by the very definition of rational it can be a fraction with only integers. Common sense would suggest that since irrational means not rational that is impossible.
Wiki User
∙ 11y ago
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Explain why the sum of a rational number and an irrational number is an irrational number?
Let R1 = rational number Let X = irrational number Assume R1 + X = (some rational number) We add -R1 to both sides, and we get: -R1 + x = (some irrational number) + (-R1), thus X = (SIR) + (-R1), which implies that X, an irrational number, is the sum of two rational numbers, which is a contradiction. Thus, the sum of a rational number and an irrational number is always irrational. (Proof by contradiction)
Is 0.05 a rational or irrational number?
It is a rational number.
Can you add irrational number and a rational to get a rational number?
If an irrational number is added to, (or multiplied by) a rational number, the result will always be an irrational number.
What happens when a rational number is divided by an irrational number?
When a rational numbers is divided by an irrational number, the answer is irrational for every non-zero rational number.
Is a rational number times a irrational number?
Can be irrational or rational.1 [rational] * sqrt(2) [irrational] = sqrt(2) [irrational]0 [rational] * sqrt(2) [irrational] = 0 [rational]
Which number can be added to a rational number to explain that the sum of rational number and an irrational number is irrational?
Any, and every, irrational number will do.
Schematic diagram of real number?
They are rational and irrational
Is 10.01 a rational or irrational number?
10.01 is a rational number
Is -6.743743 rational or irrational number explain?
It is a rational number because it is a terminating decimal number which can also be expressed as a fraction
Explain why the sum of a rational number and an irrational number is an irrational number?
Let R1 = rational number Let X = irrational number Assume R1 + X = (some rational number) We add -R1 to both sides, and we get: -R1 + x = (some irrational number) + (-R1), thus X = (SIR) + (-R1), which implies that X, an irrational number, is the sum of two rational numbers, which is a contradiction. Thus, the sum of a rational number and an irrational number is always irrational. (Proof by contradiction)
Is 37.5 a rational or irrational number?
Rational
Is the area of one triangle a rational number or an irrational number Explain.?
The area of a triangle can be a rational number or an irrational number depending on its dimensions.
Is 0.272727 rational or irrational?
RATIONAL , because you can convert it to a RATION (FRACTION). Method Let P = 0.272727.... Then 100P = 27.272727.... Subtract 99P = 27 (Note the decimals to infinity subtract to zero. P = 27/99 Cancel down by '9' P = 3/11 ( Which is a RATIO/rational). Since both '3' & '11' are prime numbers this will not cancel down any further. Hence 3/11 = 0.272727....
Is 0.05 a rational or irrational number?
It is a rational number.
Is 34.5 rational or irrational?
is 34.54 and irrational or rational. number
Is 4.121314 is a rational number or irrational?
it is a rational number but 4.121314..... is an irrational no
When an irrational number is divided by a rational number is the quotient rational or irrational?
Irrational.
