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Our aim is to help students learn subjects like physics, maths and science for students in schoolcollege and those preparing for competitive mzths. All right reserved. All material given in this website is a property of physicscatalyst. This chapter is mainly about representation of integers on the number line and their addition and subtraction. Numbers We use numbers to clsss.

So, what are various types of numbers? Natural numbers Natural numbers are counting numbers but these set of numbers do not include zero. This is because you cannot mathd zero. So numbers, 1,2,3,4,5,6��etc are all natural numbers matgs. Whole numbers All natural numbers along with zero are called whole number.

For example 0, 1, 2, 3, 4, 5, 6���etc are all whole numbers. NOTE:- Thes types of numbers do not include fractions. From the definition of natural numbers we can conclude that every natural or counting number is a whole number. Integers 3. Integers Integers include all natural numbers, zero and negative numbers for example, -4, -3, -2, -1, 0, 1, 2, 3, ���. So now byjus class 7 maths integers version have, Positive integers:- 1, 2, 3, �� Negative integers:- -1, -2, -3, ��.

Note:- Integers like whole numbers do not include fractions for example 3. Number line for integers is Now from this number line you can see that numbers to byjus class 7 maths integers version left of byjus class 7 maths integers version are all negative. Again from this number line you can observe that numbers to the right byjus class 7 maths integers version zero are all positive.

Important note:- If the number has no sign attached to it as prefix then it means that it is a positive number. Add a negative integer we move to the left. Subtract a positive integer we move to the left. Subtract a negative integer, we move to the right. Properties of integers Integers are closed under addition, subtraction and multiplication.

Which means that sum of integers will also give integers. Addition and multiplication are commutative for integers, i.

Addition and multiplication lcass associative for integers, i. Existence of identity Byjus class 7 maths integers version 0 integerrs an additive identity for integers, i. Integers show infegers property of multiplication over addition, i. Product of a positive integer and a negative integer is a negative integer, i. Product of two negative integers is a positive integer, i.

Product of even number of negative integers is positive, whereas the product of odd number of negative integers is negative, i. Rules of addition of integers Rules for subtraction of integers Rules for multiplication and division of integers Problem solving matha Now let us consider solving a problem and apply the above mentioned problem solving strategy.

Question: Mohan deposits Rs 2, in his bank account and withdraws Rs integera, from it, the next day. If withdrawal of amount from the account is represented by a negative integer, then how will you represent the amount deposited?

Find the balance in Mohan's account after the withdrawal. Solution: Step Understand the problem For this step first read your problem carefully. So, What do you know from intgers problem? What are you byjus class 7 maths integers version to find? Step Revise Now in this step check your answer. Physicscatalyst Our aim is to help students learn subjects like physics, maths and science for vyjus in schoolcollege and those preparing for competitive exams.

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Posted in 7th on February 13 at PM. The second chapter of geometry deals with triangles and their properties. One of our academic counsellors will contact you within 1 working day. General form. All worksheets have been made for all important topics in the chapter as per all topics given in NCERT book. Chapter 8 - Comparing Quantities. Thank you for registering.

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