RS Aggarwal Solutions Class 8 Chapter-5 Playing with Numbers (Ex 5D) Exercise 5.4

Q: 2. What is the test of divisibility of 2, 3, 4, 5, 6, 8, 9, 10, 11?

Divisibility of 2: A number is said to be divisible by two if the unit digit number is 0, 2, 4, 6, 8.Divisibility of 3: A number is said to be divisible by three if the sum of digits is divisible by 3.Divisibility of 4: A number is said to be divisible by four if the last two digits are divisible by 4.Divisibility of 5: A number is said to be divisible by five if the unit digit is either 0 or 5.Divisibility of 6: A number is said to be divisible by six if the number is divisible by both 2 and 3.Divisibility of 8: A number is said to be divisible by eight if the number is divisible by both 2 and 4.Divisibility of 9: A number is said to be divisible by nine if the sum of numbers is divisible by 9.Divisibility of 10: A number is said to be divisible by 10 if the unit digit is 0.Divisibility of 11: A number is said to be divisible by 11 if the difference of digits in odd places and even places are either 0 or a multiple of 11.

RS Aggarwal Solutions

RS Aggarwal Solutions Class 8 Chapter-5 Playing with Numbers (Ex 5D) Exercise 5.4

RS Aggarwal Solutions Class 8 Chapter-5 Playing with Numbers (Ex 5D) Exercise 5.4 - Free PDF

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Chapter 5- Playing with Numbers

In the previous classes students would have learned different types of numbers such as natural numbers, integers, whole numbers, rational numbers, irrational numbers, factors and multiples between numbers. In this chapter you will learn the general form of numbers, the tricks for divisibility by 2,3,4,5,6,7,8,9,10,11, and representing alphabets as numbers.

This chapter is divided into 4 exercises (Exercise- 5A, 5B, 5C, 5D) and consists of 44 questions overall.

Exercise 5A consists of 6-word problems where you need to find the number when the sum or difference of its digits is given to you.
Exercise 5B is one of the most important exercises of this chapter, which consists of 15 questions and is based on the test of divisibility of numbers.
Exercise 5C consists of 14 questions and is based on the concept of representing letters as numbers.
Exercise 5D consists of 9 questions and is based on the same concept of Exercise 5C but it involves division rather than addition or subtraction.

Conclusion

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FAQs on RS Aggarwal Solutions Class 8 Chapter-5 Playing with Numbers (Ex 5D) Exercise 5.4

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2. What is the test of divisibility of 2, 3, 4, 5, 6, 8, 9, 10, 11?

Divisibility of 2: A number is said to be divisible by two if the unit digit number is 0, 2, 4, 6, 8.
Divisibility of 3: A number is said to be divisible by three if the sum of digits is divisible by 3.
Divisibility of 4: A number is said to be divisible by four if the last two digits are divisible by 4.
Divisibility of 5: A number is said to be divisible by five if the unit digit is either 0 or 5.
Divisibility of 6: A number is said to be divisible by six if the number is divisible by both 2 and 3.
Divisibility of 8: A number is said to be divisible by eight if the number is divisible by both 2 and 4.
Divisibility of 9: A number is said to be divisible by nine if the sum of numbers is divisible by 9.
Divisibility of 10: A number is said to be divisible by 10 if the unit digit is 0.
Divisibility of 11: A number is said to be divisible by 11 if the difference of digits in odd places and even places are either 0 or a multiple of 11.

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