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Mind Map- Rational Numbers

Mind Map- Rational Numbers

The document Mind Map- Rational Numbers is a part of the Class 7 Course Mathematics (Maths) Class 7 (Old NCERT).
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FAQs on Mind Map- Rational Numbers

1. What are rational numbers?
Ans. Rational numbers are numbers that can be expressed as the quotient or fraction of two integers, where the numerator is an integer and the denominator is a non-zero integer. For example, numbers like 1/2, -3/4, and 5 are all rational numbers because they can be written in the form a/b.
2. How do we add and subtract rational numbers?
Ans. To add or subtract rational numbers, first find a common denominator if the denominators are different. Then, convert the fractions to have the same denominator, add or subtract the numerators, and write the result over the common denominator. Finally, simplify the fraction if possible.
3. Can you give examples of rational numbers in real life?
Ans. Yes, rational numbers appear in various real-life scenarios such as measurements (like 1/2 meter), financial calculations (like $3.50), and statistics (like 2/5 of a group). They are used whenever we need to express quantities that can be represented as fractions.
4. What is the difference between rational and irrational numbers?
Ans. The main difference is that rational numbers can be expressed as fractions of integers, while irrational numbers cannot be expressed as simple fractions. For example, √2 and π are irrational numbers because they cannot be written as a fraction of integers, whereas 1/2 and -3 are rational.
5. How do you convert a decimal to a rational number?
Ans. To convert a decimal to a rational number, you can write the decimal as a fraction. For example, to convert 0.75, you can write it as 75/100. Then simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, resulting in 3/4.
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