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What s happens when rational numbers are multplied?
The product of two rational numbers is always a rational number.
What is a real number that is not rational a natural number or an integer?
no # all numbers are real #'s
How can a number line be used to compare rational numbers?
because the # line shows the rational #'s in order from least to greatest
Is -4 over 12 a rational number?
-4/12 equals -1/3, which has the pattern of 3's after the decimal point repeat infinitely. That is how -4/12 is a rational number.
Is the square root of an irrational number rational?
No: Let r be some irrational number; as such it cannot be represented as s/t where s and t are both non-zero integers. Assume the square root of this irrational number r was rational. Then it can be represented in the form of p/q where p and q are both non-zero integers, ie √r = p/q As p is an integer, p² = p×p is also an integer, let y = p² And as q is an integer, q² = q×q is also an integer, let x = q² The number is the square of its square root, thus: (√r)² = (p/q)² = p²/q² = y/x but (√r)² = r, thus r = y/x and is a rational number. But r was chosen to be an irrational number, which is a contradiction (r cannot be both rational and irrational at the same time, so it cannot exist). Thus the square root of an irrational number cannot be rational. However, the square root of a rational number can be irrational, eg for the rational number ½ its square root (√½) is not rational.
Prove R is rational and S is irrational then R plus S must be irrational?
Let R + S = T, and suppose that T is a rational number.The set of rational number is a group.This implies that since R is rational, -R is rational [invertibility].Then, since T and -R are rational, T - R must be rational [closure].But T - R = S which implies that S is rational.That contradicts the fact that y is an irrational number. The contradiction implies that the assumption [that T is rational] is incorrect.Thus, the sum of a rational number R and an irrational number S cannot be rational.
What s happens when rational numbers are multplied?
The product of two rational numbers is always a rational number.
Is the number 3.3333 as a rational number?
A rational number is one that can be written as a ratio of two integers. In this case the number 3.3333 can be written as the ratio: 33333/10000 If the intent was to write 3.3333... with the 3's repeating infinitely, it would be equivalent to 3 1/3 or 10/3.
Is -6.81 s rational number?
Yes
Is 0.1351351351351 a rational number?
Whether that's all there is to it, or the '135's keep going on forever, either way, it's a rational number.
Is 0.135135135135 a rational number?
Whether that's all there is to it, or the '135's keep going on forever, either way, it's a rational number.
Is -1.66 a rational or irrational number?
If the 6's continue, it is -5/3, and therefore it is rational. If they do not continue, it is -166/100, and still rational.
What is a real number that is not rational a natural number or an integer?
no # all numbers are real #'s
Is 9.3808315 a rational or an irrational number?
Rational. It can be expressed a s fraction having integers for the denominator and numerator. ie 93,808,315/100,000,000
How can a number line be used to compare rational numbers?
because the # line shows the rational #'s in order from least to greatest
What do you do while multiplying rational numbers?
A rational number is a number which can be expressed in the form p/q where p and q are integers and p>0.If p/q and r/s are two rational numbers then(p/q)*(r/s) = (p*r)/(q*s).You may need to check that this fraction is in its lowest (simplest) form.
How do you add and subtract rational numbers?
A rational number is a number of the form p/q where p and q are integers and q > 0.If p/q and r/s are two rational numbers thenp/q + r/s = (p*s + q*r) / (q*r)andp/q - r/s = (p*s - q*r) / (q*r)The answers may need simplification.
