# What does a remainder mean in math?

## What does a remainder mean in math?

: the number that is left when one number is subtracted from another number. : the number that is left over when one number does not divide evenly into another number.

## What does the remainder tell you?

That is, when you divide by “x – a”, your remainder will just be some number. The Remainder Theorem then points out the connection between division and multiplication. For instance, since 12 ÷ 3 = 4, then 4 × 3 = 12. If you get a remainder, you do the multiplication and then add the remainder back in.

How does a remainder work?

In arithmetic, the remainder is the integer “left over” after dividing one integer by another to produce an integer quotient (integer division). In algebra of polynomials, the remainder is the polynomial “left over” after dividing one polynomial by another.

What are the three ways we can interpret remainders?

Learn how to interpret the remainder in 3 different ways (ignore it, round it, or report it as a fraction or decimal).

### What is remainder example?

Remainder – Definition with Examples Remainder means something which is ‘left over’ or ‘remaining’. If you have 9 toffees and you share it equally with your four friends. This 1 is the remainder. When one number cannot divide another number completely, it le get a remainder.

### How to calculate the remainder of the problem?

How to calculate the remainder Begin with writing down your problem. Decide on which of the numbers is the dividend, and which is the divisor. Perform the division – you can use any calculator you want. Round this number down. Multiply the number you obtained in the previous step by the divisor.

Which is the correct definition of the remainder theorem?

Remainder Theorem Definition The Remainder Theorem begins with a polynomial say p (x), where “p (x)” is some polynomial p whose variable is x. Then as per theorem, dividing that polynomial p (x) by some linear factor x – a, where a is just some number.

When is there no remainder in a number?

When a number (like 5 up above) evenly divides the other ( 10 above), then there is no remainder. As you can see in the picture below, the remainder is one. The problems below are “next-level”.

#### What is the remainder of the dividend in math?

In this problem, the number 50 is the dividend, or the figure we want to divide up; 14 is the divisor, or the number we are dividing by. The quotient is how many times the divisor fits into the dividend, in this case, 3. Lastly, the remainder is what’s left over, or 8.