Properties of Division Video Lecture | Mathematics Olympiad for Class 3

Ans. Division is a mathematical operation that involves splitting a number into equal parts or groups. It is the opposite operation of multiplication.

Ans. Division is often written using the division symbol (/) or by using a horizontal line with the dividend (the number being divided) on top and the divisor (the number dividing the dividend) below.

Ans. The properties of division are: - Division is not commutative, which means the order of the numbers matters. For example, 6 divided by 2 is not the same as 2 divided by 6. - Division is not associative, which means the grouping of numbers matters. For example, (10 divided by 2) divided by 5 is not the same as 10 divided by (2 divided by 5). - Division by zero is undefined. It is not possible to divide any number by zero. - Division is distributive over addition and subtraction. For example, a divided by (b + c) is the same as (a divided by b) + (a divided by c). - Division by one is always equal to the original number. For example, any number divided by one is equal to itself.

Ans. Division can be used in various real-life situations, such as: - Sharing equally among a group of people. For example, dividing a pizza equally among friends. - Calculating the average or per unit cost. For example, dividing the total cost of groceries by the number of items purchased to find the average cost per item. - Determining the rate or speed. For example, dividing the distance traveled by the time taken to find the speed of a moving vehicle. - Splitting resources or quantities into equal parts. For example, dividing a budget among different expenses or dividing a quantity of ingredients in a recipe.

Ans. Yes, division can be applied to fractions or decimals. When dividing fractions, the numerator (the number above the division line) is divided by the denominator (the number below the division line). When dividing decimals, the process is similar to dividing whole numbers, but attention must be paid to the placement of the decimal point.