# 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.

### Is an irrational number plus an irrational number equal a rational or an irrational number?

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.

### Why does a rational number plus an irrational number equal an irrational number?

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

### Why does a negative number plus a negative number equal a positive number?

It does not. A negative number multiplied by a negative number equals a positive number.

### If x is a rational number and y is a rational number than is x plus y rational?

If both numbers are rational then x plus y is a rational number

### Why an irrational number plus an irrational number equal a rational?

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.

### Why rational number plus an irrational number is equal to an irrational number?

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

### Is a rational number plus a rational number rational?

Yes. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

### Is the square of negative 54 rational'?

No, nor is it a real number. The square root of minus 54 is equal to the square root of plus 45, times i.

### Why is minus plus minus equal to a positive 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.

### What does 1.5 multiplied by 180 plus -30a plus 30 equal?

That depends what the value of a is.

### Is 0.5555 a rational or irrational number?

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 .

### Is 12 plus 0.05 rational or Irrational number?

It can be written as a fraction, so it is rational.

### Can you subract an rational and irrational number and get an irrational number?

Yes. In fact, a rational plus or minus an irrational will always be irrational.

### How Four plus three multiplied by six times three to the power of four?

Four plus three multiplied by six times three to the power of four is equal to 1,462.

### What is the formula for calculating percentile rank?

students below selected plus 0.5 multiplied by students equal to selected divided by total number of students. multiply answer by 100

### Why is the sum of an rational number and irrational number an irrational 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.

### What does 2 plus 2 plus 2 plus 2 plus 2 plus 2 plus 2 equal?

14 it is just like 2 multiplied by 7

### What is an irrational plus two rational numbers?

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.

### This is equal to the initial velocity plus acceleration multiplied by time?

That's the velocity at any time.

### Why is negative three a rational number?

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.

### If x is a rational number and y is an irrational number what can you say about x plus y?

It is irrational.

### 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… Read More

### Is an irrational number plus an irrational number rational?

No. The sum of an irrational number and any other [real] number is irrational.

### Is a rational plus an irrational equals a rational?

No. A rational plus an irrational is always an irrational.

### Are all mixed numbers rational?

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.

### Is product is plus or minus?

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.

### What two numbers multiply together to equal -13 and add together to equal 12?

-1 multiplied by +13 will equal -13. -1 plus +13 will equal 12. 13 - 1 = 12

### What does x plus 10 multiplied by x plus 2 equal?

I assume you mean (x+10)(x+2) This would equal x^2+12x+20 x^2 means x squared

### How to prove that A being any number A multiplied by A plus 1 is always divisible by 2?

A will always be an odd number.

### Why is -1 X -1 equals plus 1?

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.

### How does 5 plus 5 plus 5 equal 550?

5+5+5=15 explain how you got 550. i don't understand. you probably multiplied. and did it wrong.

### What does odd plus even equal?

An odd number plus an even number will always be an odd number.

### 290 multiplied by 8 divided by 6 plus 4 equal?

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.

### How can you prove that 3 plus 2x⁵ is an irrational number where x⁵ is irrational?

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.

### What is The number of protons plus the number electrons is the what?

The number of protons + electrons are equal. The number of protons + neutrons equal the mass number

### What is the square root of 5?

√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.

### 10 less than the product of -4 and a number is 2?

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