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Mindmap: Integers | Mathematics (Maths) Class 7

The document Mindmap: Integers | Mathematics (Maths) Class 7 is a part of the Class 7 Course Mathematics (Maths) Class 7.
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FAQs on Mindmap: Integers - Mathematics (Maths) Class 7

1. What are integers and how are they classified?
Ans.Integers are whole numbers that can be positive, negative, or zero. They are classified into three categories: positive integers (e.g., 1, 2, 3), negative integers (e.g., -1, -2, -3), and zero. Positive integers are greater than zero, negative integers are less than zero, and zero is neither positive nor negative.
2. How do you perform addition and subtraction with integers?
Ans.Addition and subtraction with integers follow specific rules. When adding two integers with the same sign, you add their absolute values and keep the sign. For example, (-3) + (-2) = -5. When adding integers with different signs, subtract the smaller absolute value from the larger one and keep the sign of the integer with the larger absolute value. For example, (-5) + 3 = -2. Subtraction can be treated as adding the opposite integer.
3. What are the rules for multiplying and dividing integers?
Ans.The rules for multiplying and dividing integers are straightforward. When multiplying or dividing two integers with the same sign, the result is positive. For example, (-2) × (-3) = 6 and 6 ÷ 2 = 3. When multiplying or dividing integers with different signs, the result is negative. For example, (-2) × 3 = -6 and 6 ÷ (-2) = -3.
4. How can integers be represented on a number line?
Ans.Integers can be represented on a number line as points that are equally spaced. The number line extends infinitely in both directions, with negative integers to the left of zero and positive integers to the right. Zero is at the center, and each integer is placed one unit apart from its neighbors. This visual representation helps in understanding the order of integers and their relationships.
5. What is the absolute value of an integer and why is it important?
Ans.The absolute value of an integer is its distance from zero on the number line, regardless of direction. It is always a non-negative number. For example, the absolute value of -5 is 5, and the absolute value of 5 is also 5. Absolute value is important in various mathematical operations and concepts, such as solving equations and inequalities, where it helps to understand how far numbers are from zero without considering their sign.
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