## Important Practice Problems for CBSE Class 7 Maths Chapter 1: Integers

## FAQs on Important Questions for CBSE Class 7 Maths Chapter 1 - Integers (Free PDF Download)

**1. What are the various types of integers?**

The various types of Integers are as follows:

Positive Numbers - are those numbers which have a plus sign (+). They are always found on the right side of zero on the number line. Most of the time positive numbers are represented simply as a whole number without the plus sign (+). Every positive number is greater than zero as well as negative numbers.

Example: 1,2, 234, 5667,99999999, etc.

Negative Numbers

Negative numbers are numbers symbolized with a minus sign (-). Negative numbers are represented to the left of zero on a number line.

Example: …., -99, -158, -110, -1.

Zero

Zero is neither a positive nor a negative integer. It is a neutral number i.e. zero has no sign (+ or -).

**2: What are the operations that can be done on Integers? What are its main properties?**

The various operations that are performed on Integers are as follows:

Addition

Subtraction

Multiplication

Division

The main properties of integers are as follows:

Closure Property

Associative Property

Commutative Property

Distributive Property

Identity Property

**3: What do you mean by commutative property?**

The commutative property of addition and multiplication states that irrespective of the order of terms the result will not change. Swapping of terms will have no effect on the sum or product.

Ex: x and y are any two integers, then

⇒ x + y = y + x

⇒ x × y = y × x

14 + (−6) = 8 = (−6) +1 4;

10 × (−3) = −30 = (−3) × 10

**Note:** Subtraction (x − y ≠ y − x) and division (x ÷ y ≠ y ÷ x) are not commutative for integers and whole numbers.

**4: Fill in the blanks to make the following statements true:**

(–5) + (– 8) = (– 8) + (…………)

A4: Let us assume the missing integer be x,

Then,

= (–5) + (– 8) = (– 8) + (x)

= – 5 – 8 = – 8 + x

= – 13 = – 8 + x

By sending – 8 from RHS to LHS it becomes 8,

= – 13 + 8 = x

= x = – 5

Now substitute the x value in the blank place,

(–5) + (– 8) = (– 8) + (- 5) … (This equation is in the form of Commutative law of Addition)

**5. What is Chapter 1 of Class 7 Maths about?**

The first Chapter of Class 7 Maths begins with a review of the fundamentals of integers that were covered in the previous classes. These recollected ideas are used in the first exercise in the Class 7 Mathematics Chapter 1 answers. You will learn more about integers, their characteristics, and operations in Chapter 1 of Class 7 Mathematics. Expert teachers prepare the important questions to assist students. For a student, the Important Questions of Chapter 1 of Class 7 Mathematics provided by Vedantu are very useful.

**6. How many questions are there in Chapter 1 -Integer of Class 7 Maths?**

There are four exercises in Chapter 1 “Integers” of Class 7 Maths. These four exercises contain a total of 30 questions. For more practice of Chapter 1 of Class 7 Maths, students can refer to the Important Questions of Chapter 1 of Class 7 Maths, prepared by experts at Vedantu for the benefit of the students.

**7. Do I need to practice all questions provided in Important Questions for Chapter 1 of Class 7 Maths?**

Yes, you need to practise all the questions. All the questions in this chapter deal with a unique concept and in order to get clarity on all the concepts, you must practice every sum. A short review of integers and their representation on the number line, operations such as addition, subtraction, and others that may be done on them, additive inverse, and negative integers are just a few of the subjects covered at the beginning. For important questions of Chapter 1 of Class 7 Maths, visit Vedantu website or mobile app and download the PDF free of cost.

**8. What is the associative property of integers?**

The associative property of integers states that no matter how the multiplicands or addends are grouped, the result of an addition or multiplication operation on any set of numbers will be the same. The following are some of the characteristics of associative properties:

In general, parentheses are used to arrange the numbers.

One unit represents the numbers defined within the parentheses.

Integers have an associative characteristic that requires a minimum of three numbers.

Q9. What is Associative Property?

**Ans: **The associative property of integers states that no matter how the multiplicands or addends are grouped, the result of an addition or multiplication operation on any set of numbers will be the same. The following are some of the characteristics of associative properties:

In general, parentheses are used to arrange the numbers.

One unit represents the numbers defined within the parentheses.

Integers have an associative characteristic that requires a minimum of three numbers.