## NCERT Solution for Maths Class 7 Chapter 1 Integers - Free PDF Download

## FAQs on NCERT Solutions Class 7 Maths Chapter 1 - Integers

**1. Write a Pair of Integers Whose Sum Gives**

**Negative Integer.****Zero****an Integer Smaller than Only one of the Integers.****an Integer Greater than Both the Integers.****an Integer Greater than Both the Integers.**

**1. (-20) and 8**

**sum:** ( -20) + 8 = -2 ( -2 is a negative integer)

**2. -15 and 15 **

**sum:** (-15) + 15 = 0

**3. ( -8 ) and ( -2 )**

**sum:** ( -8 ) + ( -2 ) = - 10 ( - 10 is smaller than - 8 and -2 )

**4. 5 and - 7**

**sum:** 5 + ( -7) = -2 ( -2 is smaller than 5)

**5. 15 and 20**

**sum:** 15 + 20 = 35 ( 35 is greater than 15 and 20)

**2. Simplify the Following, Using Suitable Properties:**

**( -1500 ) x ( -100 ) + ( -1500 ) x ( -50 )**

**(2500 x 845) – (579 x 845)**

**1. (-1500) x (-100) + (-1500) x (-50)**

= 1500 ((-1) x (-100) + (-1) x (-50))

= 1500 (100 + 50)

= 1500(150)

=225000

**2. (2500 x 845) – (579 x 845)**

= 845 (2500 - 579)

= 845 (1921)

= 1623245

**3. Choose the Correct Answers from the Given Choice and Fill in the Following Blanks.**

**-3, -2, -1 are __________________ Integers. (positive/ negative)****The Greatest Negative Integer is __________________. (0/ -1)****Every Positive Integer is _________________ then Every Negative Integer. (Smaller/ Greater)****The Product of Two Integers is Always ______________________. (an Integer/ not an Integer)**

1. Negative

2. - 1

3. Greater

4. An integer

4. What are the 4 rules of integers?

The four basic rules for integers are:

Addition:

The sum of two positive integers is a positive integer. (Ex: 9 + 2 = 11)

The sum of two negative integers is a negative integer. (Ex: -3 + (-5) = -8)

The sum of a positive integer and a negative integer depends on their values. The integer with the larger absolute value determines the sign of the sum. (Ex: 5 + (-3) = 2, -2 + 4 = 2)

Subtraction:

Subtracting a positive integer is the same as adding a negative integer with the same absolute value. (Ex: 6 - 4 = 6 + (-4) = 2)

Subtracting a negative integer is the same as adding a positive integer with the same absolute value. (Ex: 10 - (-2) = 10 + (2) = 12)

Multiplication:

The product of two positive integers is a positive integer. (Ex: 4 x 6 = 24)

The product of two negative integers is a positive integer. (Ex: -4 x (-6) = 24)

The product of a positive integer and a negative integer is a negative integer. (Ex: 2 x (-8) = -16)

Division:

Dividing two positive integers results in a positive integer (assuming no remainder). (Ex: 10 ÷ 5 = 2)

Dividing two negative integers results in a positive integer (assuming no remainder). (Ex: -18 ÷ (-2) = 9)

Dividing a positive integer by a negative integer results in a negative integer (assuming no remainder). (Ex: 20 ÷ (-5) = -4)

Dividing a negative integer by a positive integer results in a negative integer (assuming no remainder). (Ex: -16 ÷ 4 = -4)

**5. What are integers for 7th class?**

Integers is the first chapter in the NCERT Class 7 Maths textbook. The set of natural numbers like -4, -3, -2, -1, 0, 1, 2, 3, 4, and so on are called integers. They have a lot of applications in real life. Both positive and negative integers play an important role in daily calculations and transactions. It is essential to master elementary topics like Integers to be able to do well in Maths in higher classes.

6. What I found challenging in chapter integers?

Understanding negative numbers: It might be difficult to understand negative numbers and how they differ from positive numbers.It can be difficult to see them as a number line or to understand their behavior when they are operating.

Applying Signs Correctly: It might be challenging to recall the rules for positive and negative signs, particularly in operations like subtraction and multiplication. Students might struggle to determine the resulting sign (+ or -) based on the signs of the numbers being operated on.

**7. What is the fraction for 7th class?**

Fractions and Decimals is the 2nd chapter in the NCERT CBSE Class 7 Maths textbook. An introduction to fractions has already been provided in earlier classes. The addition and subtraction of fractions have also already been discussed previously. The chapter Fractions in class 7 mostly deals with the multiplication and division of fractions. The concept behind reciprocal fractions and mixed fractions is taught in detail and questions are set on the same.

**8. What are the formulas of integers?**

You do not need any formulas for Integers as long as your concepts are clear. However, you can remember some tricks like the product of two integers of the same sign is always positive whereas the product of two integers of different signs is always negative. To add two integers of the same signs, you just need to add their absolute values while to add two integers of different signs, you need to subtract their absolute values.

**9. Where can I get NCERT Solutions for Class 7th Maths Chapter 1?**

The best place to get all your questions answered and find solutions for NCERT Class 7 Maths Chapter 1 is Vedantu. Now you need not worry if you get stuck on a sum or do not know the method of solving a complicated maths problem. All you need to do is click on Vedantu's NCERT Class 7 Maths Chapter 1 Solutions and get all your doubts solved instantly in a comprehensive and easy-to-understand manner. You can download the solution free of cost in PDF format from the Vedantu website and from the Vedantu app.

10. What are the 3 types of integers?

Positive Integers: These are the counting numbers we all know, starting from 1 and going up forever (like 1, 2, 3, 4, 5...). They represent positive quantities.

Negative Integers: Imagine a number line where zero is the center. Negative integers live to the left of zero. They represent quantities less than zero, like -1, -2, -3, and so on.

Zero: Zero stands alone at the center of the number line. It's neither positive nor negative, but it's still considered an integer.

11. What is the full form of integers?

The word integer originated from the Latin word “Integer” which means whole or intact.