Why does a rational number plus a rational number or a rational number multiplied by a rational number equal to rational number?
The way in which the binary functions, addition and multiplication, are defined on the set of rational numbers ensures that the set is closed under these two operations.
An irrational number is a number that has no definite end. So it can't be multiplied or divided by anything to make a rational number that does have a definite end.
from another wikianswers page: say that 'a' is rational, and that 'b' is irrational. assume that a + b equals a rational number, called c. so a + b = c subtract a from both sides. you get b = c - a. but c - a is a rational number subtracted from a rational number, which should equal another rational number. However, b is an irrational number in our equation, so our assumption that… Read More
It does not. A negative number multiplied by a negative number equals a positive number.
If both numbers are rational then x plus y is a rational number
That simply isn't true. The sum of two irrational numbers CAN BE rational, but it can also be irrational. As an example, the square root of 2 plus the square root of 2 is irrational.
Let X + Y = Z where X is rational, Y is irrational, and suppose, if possible, that Z is rational.Then X - Z = -Y. Now X and Z are rational. Therefore X can be written, in simplest from as a/b where a and b are integers and b>0. And Z can be written, in simplest from as c/d where c and d are integers and d>0. Then X - Z = a/b… Read More
Yes. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
No, nor is it a real number. The square root of minus 54 is equal to the square root of plus 45, times i.
The sum is a rational number.
A minus plus a minus is not necessarily positive. A minus multiplied by a minus is. The reason being that the minus of a minus is a positive. It's a double negative.
That depends what the value of a is.
No. 3x plus 2x = 5x. 3x multiplied by 2x = 6x²
Any number that you can completely write down using digits ... just as you wrote this one ... plus a decimal point or a fraction bar if you need it, is rational. 0.5555 is the ratio of 5,555 to 10,000. It's also equal to 1,111/2,000 .
It can be written as a fraction, so it is rational.
Yes. In fact, a rational plus or minus an irrational will always be irrational.
Four plus three multiplied by six times three to the power of four is equal to 1,462.
students below selected plus 0.5 multiplied by students equal to selected divided by total number of students. multiply answer by 100
Yes, because 7+5 = 12 which is a rational number
The rational numbers form a field. In particular, the sum or difference of two rational numbers is rational. (This is easy to check directly). Suppose now that a + b = c, with a rational and c rational. Since b = c - a, it would have to be rational too. Thus you can't ever have a rational plus an irrational equalling a rational.
14 it is just like 2 multiplied by 7
Since the sum of two rational numbers is rational, the answer will be the same as for the sum of an irrational and a single rational number. It is always irrational.
That's the velocity at any time.
plus multiplied by plus is plus
Negative three is rational because it is a integer and if its a integer it is a rational. Integers are basically natural numbers plus the negtives and zero.
yes, it's number 8
It is 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… Read More
No. The sum of an irrational number and any other [real] number is irrational.
No. A rational plus an irrational is always an irrational.
a minus and a plus equal a minus number yeh dude
25 x 8 + 1 = 201
Yes. A mixed number is a whole number plus a fraction. Fractions are rational, that is of the form c/d Whole numbers are rational - put them over 1 to form a[n improper] fraction a/b, eg 5 = 5/1 The sum of two rational numbers is rational.
if 2 positive numbers are multiplied, then the product is positive. if 2 negative numbers are multiplied, the product is positive. if a positive and a negative number are multiplied, the product is negative.
It is irrational, just like pi
-1 multiplied by +13 will equal -13. -1 plus +13 will equal 12. 13 - 1 = 12
I assume you mean (x+10)(x+2) This would equal x^2+12x+20 x^2 means x squared
A will always be an odd number.
Any time that a negative number is being multipled by another negative number, it equals a positive number. In this case, -1 multiplied by -1 equals 1. Another example of this is -5 multiplied by -5 which equals 25. Though if you multiply a negative by a positve, it equals a negative. If you were to multiply a positive by a positve, it will always equal a positve.
5+5+5=15 explain how you got 550. i don't understand. you probably multiplied. and did it wrong.
An odd number plus an even number will always be an odd number.
The number -10 plus the number -20 is equal to the number -30.
290(8)/6+4=? 290 multiplied by 8 = 2320. 2320 divided by 6 = 386.6(repeating) 386.6(repeating) plus 4 = 390.6(repeating) 390.6(repeating) is your answer.
1) Adding an irrational number and a rational number will always give you an irrational number. 2) Multiplying an irrational number by a non-zero rational number will always give you an irrational number.
The number of protons + electrons are equal. The number of protons + neutrons equal the mass number
√5= ±2.2360679774997896964 Note: the answer is "plus or minus" 2.236... The answer may have either sign because the answer with either sign will, when multiplied by itself, be equal to 5. (Two positives multiplied together will result in a positive product. Two negatives multiplied together will still yield a positive product.) 2.2360679 The square root of the number 5 is 2.23606797749979 2.23606798 to eight decimal places.
Let the unknown number be X: -4x-10 = 2 -4x = 2+10 -4x = 12 x = -3 Remember that a minus multiplied by a minus is equal to a plus: -4*-3 = 12