Why should the remainder not be greater than the divisor?

If a remainder is more than divisor, latter can go one more time and hence division is not complete. Even if remainder is equal to divisor, it can still go one more time. Hence remainder has to be less than the divisor.

1. Can a remainder be bigger than the number you are dividing by?
2. Why are remainders negative?
3. What does a remainder say about the divisor?
4. Can the divisor be greater than the dividend?
5. What happens to the remainder in division?
6. What is the remainder when a smaller number is divided by a larger number?
7. Can remainder be negative in polynomials?
8. What is negative remainder concept?
9. Is remainder always less than divisor?
10. Why is the Remainder Theorem useful?
11. What is the relation between the remainder and the value of the polynomial?
12. What happens if the dividend is less than the divisor?
13. What happens if the divisor is bigger than the dividend?

Can a remainder be bigger than the number you are dividing by?

A remainder can never be larger than the number you are dividing by (divisor). Even if you are dividing a number by fifty-one (51), you can't have a remainder greater than or equal to fifty-one.

Why are remainders negative?

The remainder operator can be used with negative integers. The rule is: ... If the left operand is negative, then make the result negative. If the left operand is positive, then make the result positive.

What does a remainder say about the divisor?

Remainder. When one term (the "dividend") is divided by another term (the "divisor"), the result is a "quotient" and a "remainder". When the remainder is zero, both the quotient and divisor are factors of the dividend. When the remainder is not zero, neither the quotient nor the divisor are factors of the dividend.

Can the divisor be greater than the dividend?

When the divisor is the same size as the dividend, the quotient is 1. When the divisor is larger than the dividend, the quotient is less than 1. Another example where the divisor is larger than the dividend. What is the quotient of 1 3/4 divided by 2/3 ?

What happens to the remainder in division?

The remainder is always less than the divisor. A remainder that is either greater than or equal to the divisor indicates that the division is incorrect. If one number (divisor) divides the other number (dividend) completely, then the remainder is 0. The remainder can be either greater, lesser, or equal to the quotient.

What is the remainder when a smaller number is divided by a larger number?

When a smaller integer is divided by a larger integer, the quotient is 0 and the remainder is the smaller integer.

Can remainder be negative in polynomials?

No. So, the remainder is +2. So, quotient can be negative but remainder can't be negative. A polynomial leaves remainder when divided by and remainder when divided by .

What is negative remainder concept?

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. n is 3 more than a multiple of m. It is also 2 less than the next multiple of m.

Is remainder always less than divisor?

The remainder is always less than the divisor. If the remainder is greater than the divisor, it means that the division is incomplete. It can be greater than or lesser than the quotient. For example; when 41 is divided by 7, the quotient is 5 and the remainder is 6.

Why is the Remainder Theorem useful?

The Polynomial Remainder Theorem allows us to determine whether a linear expression is a factor of a polynomial expression easily.

What is the relation between the remainder and the value of the polynomial?

Recall from the Remainder Theorem that the remainder of a polynomial long division problem is equal to the value of the polynomial evaluated at that remainder. Therefore, if the value of a polynomial at a given number is zero, we can deduce one of the factors of the polynomial.

What happens if the dividend is less than the divisor?

Whenever the dividend is less than the divisor, the quotient is always zero which results in the modulus simply being equal to the dividend. As long as they're both positive, the remainder will be equal to the dividend.

What happens if the divisor is bigger than the dividend?

Remember to place a zero in the quotient when the divisor is larger than the dividend. Place the decimal point in your quotient. Check your answer: Multiply the divisor by the quotient to see if you get the dividend.