Class 5 Maths - ICSE

Division

In this chapter, Class 5 ICSE students learn division with large numbers, including dividing 4-digit and 5-digit numbers by 2-digit divisors. Students master the step-by-step long division method, understanding the crucial roles of the dividend, divisor, quotient, and remainder. This chapter also introduces important properties of division, such as dividing by 1 and 0, and practical word problems that test real-life applications. Mastering division is essential for scoring well in the ICSE Mathematics exam, as it forms the foundation for fractions, decimals, and advanced arithmetic problems in higher classes.

Start Learning Free

Key Concepts

Terms in Division

The number being divided is the dividend, the number that divides is the divisor, the result is the quotient, and the left-over amount is the remainder.

Long Division Method

A systematic step-by-step process involving four repeating actions: Divide, Multiply, Subtract, and Bring down the next digit.

Division by 10, 100, and 1000

A quick shortcut method where we shift the decimal or remove zeros from the end of the dividend depending on the number of zeros in the divisor.

Properties of Division

Special rules such as any number divided by itself gives 1, any number divided by 1 gives the number itself, and division by 0 is not possible.

Checking Division

A verification method to ensure our answer is correct by multiplying the quotient with the divisor and adding the remainder.

Important Formulas

Dividend = (Divisor × Quotient) + Remainder
Quotient = (Dividend - Remainder) ÷ Divisor
Divisor = (Dividend - Remainder) ÷ Quotient

Board Exam Info

In the ICSE Class 5 Mathematics examination, this chapter typically carries around 6 to 10 marks. Common question types include long division of 5-digit numbers by 2-digit numbers, checking answers using properties, fill-in-the-blanks based on division rules, and 2-step word problems.

Frequently Asked Questions

Why can we never divide any number by zero?

Division by zero is undefined because you cannot split a quantity into zero equal groups or distribute items into nothingness.

What should I do if the remainder is bigger than the divisor?

If your remainder is greater than or equal to the divisor, it means your current digit in the quotient is too small and you need to increase it.

How do I solve word problems in division?

Look for keywords like 'each', 'equally distributed', or 'how many groups'. If you are finding a total from parts, multiply, but if you are splitting a total into equal parts, use division.

Learn Division with Your AI Tutor

10 different ways to study this chapter. Free for 3 chapters per day.

Lecture

Key Points

Interactive

Quiz

Flashcards

Start Learning Free

More Maths Chapters - ICSE Class 5