Quick Answer: What Happen If The Remainder Is Zero?

Can the remainder be negative?

Generally speaking, if n is divided by m and it leaves a remainder r, the negative remainder in this case is -(m – r).

When n is divided by 7, it leaves a remainder of 4.

This is equivalent to a remainder of -3.

When we divide 1555 by 13, we get a quotient of 119 (irrelevant to our question) and remainder of 8..

What number divided by 3 has a remainder of 1?

The cyclicity of the remainder is 1,4,7 when divided by 3.

What is the quotient remainder formula?

In the abstract, the classic remainder formula is: Dividend/Divisor = Quotient + Remainder/Divisor. If we multiply through by the Divisor, we get another helpful variant of the remainder formula: Dividend = Quotient*Divisor + Remainder.

What is the remainder of 0 divided by 2?

Zero divided by anything (except itself!) is zero, so there is no remainder. Therefore 0 % 2 is 0 .

What is the remainder of 5?

For example, the remainder of 5 divided by 2 is 1.

Which is the remainder?

In mathematics, the remainder is the amount “left over” after performing some computation. In arithmetic, the remainder is the integer “left over” after dividing one integer by another to produce an integer quotient (integer division).

What is the quotient and remainder?

Quotient and Remainder are parts of division along with dividend and divisor. The number which we divide is known as the dividend. The number which divides the dividend is known as the divisor. The result obtained after the division is known as the quotient and the number left over is the remainder.

Why is a negative divided by a negative a positive?

When you multiply a negative by a negative you get a positive, because the two negative signs are cancelled out.

How do you divide by a negative number?

When you are dividing with negative numbers and positive numbers, just be sure to count the number of negative signs. Two negative signs will cancel each other out. So if you have an even number (or zero) negative signs, then the answer will be positive.

What does it mean when the remainder of a polynomial division is 0?

If x – c is a factor, you can rewrite the original polynomial as (x – c) (quotient). You can use synthetic division to help you with this type of problem. The Remainder Theorem states that f(c) = the remainder. So if the remainder comes out to be 0 when you apply synthetic division, then x – c is a factor of f(x).

What is the relation between the remainder?

It says that if you divide a polynomial, f(x), by a linear expression, x-A, the remainder will be the same as f(A). For example, the remainder when x^2 – 4x + 2 is divided by x-3 is (3)^2 – 4(3) + 2 or -1.

How does remainder theorem work?

The Remainder Theorem starts with an unnamed polynomial p(x), where “p(x)” just means “some polynomial p whose variable is x”. … If you get a remainder, you do the multiplication and then add the remainder back in. For instance, since 13 ÷ 5 = 2 R 3, then 13 = 5 × 2 + 3. This process works the same way with polynomials.

Is 0 divided by 3 defined?

There is no number that you can multiply by 0 to get a non-zero number. There is NO solution, so any non-zero number divided by 0 is undefined.

What is the definition of a remainder?

Remainder means something which is ‘left over’ or ‘remaining’. … This 1 is the remainder. When one number cannot divide another number completely, it le get a remainder.

What is the value of 0 1?

01 is undefined.