Grade 10 Exam > Mathematics for Grade 10 > Flashcards: Number Systems
The document Flashcards: Number Systems Flashcard | Mathematics for Grade 10 is a part of the Grade 10 Course Mathematics for Grade 10.
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FAQs on Flashcards: Number Systems Flashcard - Mathematics for Grade 10
| 1. What are the different types of number systems used in mathematics? |  |
Ans.The most common number systems include natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers. Each system has unique properties and serves different purposes in mathematics.
| 2. How do binary and decimal number systems differ? | |
Ans.Binary is a base-2 number system that uses only two digits, 0 and 1, while the decimal system is a base-10 system that uses ten digits, from 0 to 9. This difference affects how numbers are represented and calculated in each system.
| 3. What is the importance of the hexadecimal number system? | |
Ans.The hexadecimal number system, which is base-16, is important in computer science and programming because it can represent large binary numbers more compactly. It uses digits 0-9 and letters A-F to represent values, making it easier for humans to read.
| 4. How do you convert a decimal number to binary? | |
Ans.To convert a decimal number to binary, repeatedly divide the number by 2, noting the remainder each time. Write down the remainders in reverse order; this sequence of remainders will represent the binary equivalent of the decimal number.
| 5. What are rational and irrational numbers, and how can they be identified? | |
Ans.Rational numbers can be expressed as the quotient of two integers (e.g., 1/2, 3, -4), while irrational numbers cannot be expressed as simple fractions (e.g., π, √2). Rational numbers have terminating or repeating decimal expansions, while irrational numbers have non-repeating, non-terminating decimal expansions.
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