Question

b Since addition of integers gives integers, we say In general, for any two integers a and b, a + b is an integer. 1.3.2 Closure under Subtraction What happens when we subtract an integer from another integer? Can we say that the difference is also an integer? Observe the following table and complete it: Statement Observation (1) 7-9 = -2 Result is an integer (ii) 17-(-21) = (iii) (-8)-(-14) = 6 Result is an integer (iv) (-21)-(-10) = (v) 32-(-17) = (vi) (-18)-(-18) = (vii) (-29) -0 = What do you observe? Is there any pair of integers I need answers
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Answer 1

Answer:

Mathematics NCERT Grade 7, Chapter 1: Integers- The chapter familiarizes students with the concept of integers.

Integers is a collection of numbers formed by whole numbers and negative numbers.

In the beginning, a quick recap of the integers and their representation on the number line, operations like addition, subtraction etc that can be performed on them, additive inverse, negative integers are some of the topics given.

This is followed by a detailed description of the topic Properties of Addition and Subtraction of Integers is given.

Properties listed in this section are:

1. Closure under addition

2. Closure under subtraction

3. Commutative property

4. Associative property

5. Additive identity

All of these mentioned above are explained with the help of examples. The concept of Multiplication of Integers is covered in detail and contains various subsection which focuses more deeply on the operation of multiplication of integers

Answer 2

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Integer numbers are whole numbers. These can be negative, positive or a zero. When we perform mathematical operations of integers, we follow a different set of rules that are specific to the character of the number. Not every rule of mathematical operation applies to the integers. Let’s see how handling integers are different from the normal mathematical operations.