Maths- Class 7th- Integers Online Practice Exams

Maths- Class 7th- Integers

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Questions 20
Maximum mark 20

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Maths- Class 7th- Integers Set 1

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Questions 15
Maximum mark 15

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Introduction to Integers

Welcome to the "Mathematics - Integers" section designed exclusively for 7th Class students. In this module, we will delve into the realm of integers, understanding their properties, operations, and significance in everyday scenarios.

Understanding Positive and Negative Numbers

Develop a foundational understanding of positive and negative integers. Learn how these numbers are represented on the number line and gain insight into their significance in various contexts.

Addition and Subtraction of Integers

Explore the rules for adding and subtracting integers. Understand how to perform operations involving integers with different signs and develop strategies for simplifying complex expressions.

Multiplication and Division of Integers

Discover the principles of multiplying and dividing integers. Learn how to handle scenarios where both operands have the same or different signs and explore the relationship between these operations.

Properties of Integers

Examine the fundamental properties of integers, including the commutative, associative, and distributive properties. Understand how these properties apply to addition, subtraction, multiplication, and division.

Integer Operations in Real Life

Explore real-life scenarios where integer operations are applied. Understand how positive and negative numbers are used to represent gains, losses, temperature changes, and other practical situations.

Comparing and Ordering Integers

Learn how to compare and order integers. Understand the concepts of greater than, less than, and equal to when dealing with positive and negative numbers.

Absolute Value of Integers

Explore the concept of absolute value, which represents the distance of a number from zero on the number line. Learn how to calculate the absolute value of positive and negative integers.

Integer Patterns and Sequences

Discover patterns and sequences involving integers. Explore arithmetic and geometric sequences and understand how they are constructed using integer operations.

Integers in Algebraic Expressions

See how integers play a role in algebraic expressions and equations. Learn how to simplify expressions involving integers and variables and solve equations with integer solutions.

Integers in Everyday Situations

Explore real-world scenarios where integers are used to represent various situations, such as financial transactions, temperature changes, and distances. Understand the practical applications of integer concepts.

Mastering the World of Integers

Master the world of integers, from their fundamental properties to their applications in everyday life. Gain confidence in performing integer operations and using them to analyze real-world scenarios.

Maths- Class 7th- Integers Online Practice Exams FAQs

1. What are integers in mathematics?

In mathematics, integers are whole numbers that can be positive, negative, or zero. Integers include all the positive numbers, all the negative numbers, and zero. They are used to represent quantities such as counting numbers, temperatures, and positions on a number line. Integers are an essential concept in mathematics and have various applications in real-life situations and mathematical operations.

2. How do you add and subtract integers?

To add and subtract integers, you can follow these rules:

When adding integers with the same sign (both positive or both negative), add their absolute values, and keep the common sign.
When adding integers with different signs (one positive and one negative), subtract the absolute value of the smaller integer from the absolute value of the larger integer, and use the sign of the larger integer.
For subtraction, change it to addition by taking the opposite (negation) of the second integer and then apply the addition rules.
Remember that adding or subtracting zero from any integer does not change the value of that integer.

These rules help perform addition and subtraction operations involving integers effectively.

3. What is the absolute value of an integer?

The absolute value of an integer is the positive value of that integer without considering its sign. It is denoted by "|" (vertical bars) around the integer. For example, the absolute value of -5 is 5, and the absolute value of 5 is also 5. In mathematical notation, it is represented as |x|, where x is the integer. The absolute value of an integer helps measure the distance between that integer and zero on the number line.

4. How are integers used to represent real-life situations?

Integers are used to represent various real-life situations, such as:

Temperature: Positive integers represent temperatures above zero, negative integers represent temperatures below zero, and zero represents the freezing point.
Bank Transactions: Positive integers represent deposits, while negative integers represent withdrawals or debts.
Elevation: Positive integers represent heights above sea level, and negative integers represent depths below sea level.
Position on a Number Line: Integers are used to represent positions to the right (positive) or left (negative) of a reference point.

Integers provide a simple and effective way to quantify and work with quantities in various contexts.

5. How do you multiply and divide integers?

To multiply and divide integers, you can follow these rules:

When multiplying integers with the same sign (both positive or both negative), the result is positive.
When multiplying integers with different signs (one positive and one negative), the result is negative.
When dividing integers with the same sign, the result is positive.
When dividing integers with different signs, the result is negative.

Remember that division by zero is undefined in mathematics. These rules help perform multiplication and division operations involving integers effectively.