10 Questions
What is the main focus of Euclid's division algorithm?
Divisibility of integers
What does the Fundamental Theorem of Arithmetic state?
Every composite number can be expressed as a product of primes in a unique way
What is the main application of the Fundamental Theorem of Arithmetic?
Factorization of composite numbers
Which property is associated with Euclid's division algorithm?
Remainder is smaller than the divisor
What is the significance of the Fundamental Theorem of Arithmetic?
It has deep and significant applications in mathematics
What are the two important properties of positive integers discussed in this chapter?
Euclid’s division algorithm and the Fundamental Theorem of Arithmetic
State Euclid’s division algorithm.
Euclid’s division algorithm states that any positive integer a can be divided by another positive integer b in such a way that it leaves a remainder r that is smaller than b.
What is the significance of the Fundamental Theorem of Arithmetic?
The significance of the Fundamental Theorem of Arithmetic lies in the fact that every composite number can be expressed as a product of primes in a unique way.
How is the Euclid’s division algorithm used in mathematics?
It is mainly used to compute the Highest Common Factor (HCF) of two positive integers.
What are the two main applications of the Fundamental Theorem of Arithmetic?
The two main applications are in the field of mathematics and for unique factorization of composite numbers.
Test your knowledge of real numbers with this quiz! Explore properties of positive integers, including Euclid's division algorithm and the Fundamental Theorem of Arithmetic. Perfect for students studying Class IX mathematics.
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