Integers Formulas for Class 7

Arithmetic includes different types of numbers where each set of numbers is unique and has its own properties. One such group of numbers is called integers. An integer is a number that does not have a decimal or a fractional part and it consists of positive and negative numbers including zero. This article summarizes all the important definitions and integer formulas for class 7 in a concise way along with some practical tips to remember them easily.

List of Integers Formulas for Class 7

The following points discuss the basic concepts related to Integer formulas for class 7 along with a brief list of formulas.

• Integers include both positive and negative numbers.
• The commutative property of addition applies for all integers, that is, a + b = b + a 
• The associative property of addition applies for all integers, i.e., (a + b) + c = a + (b + c)
• Under addition, integer 0 is the identity element. This means, a + 0 = 0 + a = a 
• If a positive and a negative integer are multiplied the result is a negative integer, whereas the multiplication of two negative integers results in a positive integer.
• Integers follow the commutative property of multiplication, that is, a × b = b × a. 
• Under multiplication, integer 1 is the identity element, i.e., 1 × a = a × 1 = a 
• The associative property of multiplication is applicable to all integers, i.e., (a × b) × c = a × (b × c) 
• The distributive property of addition and multiplication applies to integers as well.

That is, a × (b + c) = a × b + a × c for any three integers a, b and c.

Applications of Integers Formulas for Class 7

Integers are used in various real life situations. A few examples are given below:

• Negative integers help in defining any declining movement. For example, if a car stops at a signal, its speed decreases, hence its acceleration is represented by a negative value.
• Similarly, the integers on a thermometer help us measure both positive and negative temperatures with ease.

Integer Formulas for Class 7 Examples

Example 1: Write down a pair of integers for whose: 

(a) sum is -4 

(b) difference is -6

Solution: (a) Sum is -4   = (-3) + (-1) = (-4) 

(b) Difference is -6 = (-7) - (- 1) = (-6)

Example 2 : Find the product of the following integers: 

(i) (-10) × (-5) × 2 

Solution: The product of two negative integers results in a positive value, and the product of two positive integers results in a negative value, hence, (-10) × (-5) × 2 = 50 × 2 = 100

Tips to Memorize Integers Formulas for Class 7

Due to several reasons like lack of relatability of formula to the concept, less time to revise or worrying too much about exams may result in having difficulties learning the integers formulas for class 7. Hence, by using the following tips, students can help themselves in revising the formulas effectively for their exams.

• Students are advised to go through their textbooks to understand the concept behind the formula well. In case, any doubt arises it is always a good idea to clear it immediately with the help of a teacher or friends.
• Once the logic behind the formula is clear then the students must try to write it down  three to four times remembering the logic that they have studied. 
• Formula images can also be downloaded from the internet and can be saved as wallpaper on mobiles and desktops. This will help the students in having the formulas in front of them most of the time thus enabling them to capture those formulas well in their memory.

Students can download the printable Maths Formulas Class 7 sheet from below: