Remainder means something which is ‘left over’ or ‘remaining’.

You are watching: Why must the remainder be less than the divisor

If you have 9 toffees and you share it equally with your four friends. How many toffees will you have?

If you give two toffees each to your friends, you would have shared 8 toffees. Only1 toffee will remain with you, and this leftover of 1 toffee is called the remainder.

Mathematically we can write the above expression as:

9 ÷ 4 = 2 remainder 1

Where 9 is the dividend, 4 is the divisor, 2 is the quotient, and 1 is the remainder.

On dividing 22 by 3.

We get 3 equal parts of 7, that add up to 21

3 x 7 = 21.

We are left with 1. This 1 is the remainder.

When one number cannot divide another number completely, it le get a remainder.

Examples:

 18 ÷ 7 Remainder 4 15 ÷ 10 Remainder 5 23 ÷ 6 Remainder 5 46 ÷ 9 Remainder 1 15 ÷ 5 Remainder 0

Properties of Remainder:

When one number divides another number completely, the remainder is 0.

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. Here the remainder is greater than the quotient.

 Fun FactsThe word remainder comes from the French word ‘remaindre’ which means to remain.See more: Which Of The Following Contains The Most Calories/Gram? Health Ch 4 Flashcards

Won Numerous Awards & Honors

Math Games for Kids
Math Games for Kids
Online Live Math Classes
les-grizzlys-catalans.org Content
Resources