Math, asked by santoshkumari39356, 1 month ago

HOTS 10. Determine whether each of the following closed for the given operatin (ii) The set of whole numbers less than 100 for addition. (iii) The set of all whole numbers whose units digits are (1) The set of odd whole numbers for multiplication. Closure proper or 6 for multiplication. (iv) The set of even whole numbers for multiplication. (v) The set of whole numbers less than 1000 for any TWO N (vi) The set of whole numbers greater than 1000 for part of that 11. Product of two whole numbers is zero. Can you comment on the nature o 12. If for a whole number a; a X a = a then write the value of a. PATTERNS IN WHOLE NUMBERS If we represent each whole number by as many dots much -​

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Answered by waizkazi14
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Answer:

Mathematics NCERT Grade 6, Chapter 2: Whole Numbers- As the name suggests this chapter explains the whole numbers.

The natural numbers along with zero form the collection of whole numbers.

The chapter starts with the introduction on predecessor and successor followed by concept of whole numbers.

If you add 1 to a natural number, we get its successor. If you subtract 1 from a natural number, you get its predecessor.

Every natural number has a successor.

Every natural number except 1 has a predecessor.

Every whole number has a successor.

Every whole number except zero has a predecessor.

All natural numbers are whole numbers, but all whole numbers are not natural numbers.

The topic number line is discussed in detail along with the operations like addition, subtraction and multiplication that can be performed on them.

This is followed by Properties of whole numbers. Various properties associated with whole numbers are explained in this chapter with examples.

Closure property

Division of a whole number by 0 is not defined.

Commutativity of addition and multiplication

Associativity of addition and multiplication

Distributivity of multiplication over addition

Zero is called an identity for addition of whole numbers or additive identity for whole numbers.

Whole number 1 is the identity for multiplication of whole numbers.

Patterns in whole numbers are the last topic that is discussed in this chapter- Whole numbers. These patterns are formed using numbers and arrangement of dots. This section contains 5 questions in the column titled 'Try These'. Students must try these questions as they are not only fun to attempt but also help in building the concept.

A total of 3 exercises are given in the chapter. Ample number of solved examples are given for reference to solve the unsolved questions.

Important points are mentioned at the end of the chapter in the form of a summary.

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