Properties of division Video Lecture - Class 5

Ans. Division is a mathematical operation that involves splitting a quantity into equal parts or groups. It is the inverse operation of multiplication and is commonly used to find the quotient or the number of times one quantity is contained in another.

Ans. Division is represented symbolically using the division sign (÷) or a forward slash (/). For example, the division of 10 by 2 can be written as 10 ÷ 2 or 10/2, both of which represent the same calculation.

Ans. The properties of division include: - Division by zero is undefined: It is not possible to divide any number by zero. The result of such a division is undefined. - Division of zero by any number is zero: When zero is divided by any non-zero number, the result is always zero. - Division is not commutative: The order of the numbers being divided affects the result. For example, 10 ÷ 2 is not equal to 2 ÷ 10. - Division is associative: When dividing multiple numbers, changing the grouping does not change the result. For example, (12 ÷ 3) ÷ 2 is equal to 12 ÷ (3 ÷ 2). - Division by one: Any number divided by one is equal to the original number. For example, 8 ÷ 1 is equal to 8.

Ans. Sure! Let's consider the division problem: 24 ÷ 6. In this case, we are dividing 24 by 6. The quotient is the result of the division, which is 4. Therefore, 24 ÷ 6 = 4.

Ans. Yes, it is possible to have a remainder in division. When the division is not exact, meaning the divisor does not divide the dividend evenly, a remainder is obtained. For example, in the division problem 17 ÷ 5, the quotient is 3 with a remainder of 2. This means that 17 divided by 5 equals 3, with 2 left over.