Class 10 Real Numbers Quiz

What are the prime factors of the number 24?

• 4, 4, 4, 4

• 5, 5, 5, 5

• 3, 3, 3, 3

• 2, 2, 2, 3

Find the prime factorization of the number 56.

• 2 x 2 x 2 x 7

• 3 x 19

• 5 x 11

• 2 x 4 x 7

Determine the prime factors of the number 90.

• 1, 2, 3, 5

• 2, 3, 3, 3

• 2, 2, 3, 5

• 2, 3, 3, 5

Calculate the prime factorization of the number 120.

• 2^2 * 3 * 10

• 3^2 * 5 * 8

• 2^3 * 3 * 5

• 2^4 * 5

What is an irrational number? Provide an example.

• 0.5 (one half)

• 4 (four)

• 3.14 (pi)

• √2 (square root of 2)

State the properties of irrational numbers.

• Can be the root of any non-zero whole number

• Cannot be expressed as a simple fraction, non-terminating and non-repeating decimals, not the root of any non-zero whole number

• Always terminate as decimals

• Can be expressed as a simple fraction

Explain the concept of irrational numbers with an example.

• 4

• 3

• 2

• √2 or π (pi)

What is the Fundamental Theorem of Arithmetic?

• The Fundamental Theorem of Arithmetic is only applicable to even numbers

• The Fundamental Theorem of Arithmetic states that all integers are prime numbers

• Every integer greater than 1 can be uniquely factored into a product of prime numbers.

• The Fundamental Theorem of Arithmetic is about adding and subtracting prime numbers

How does the Fundamental Theorem of Arithmetic relate to prime factorization?

• Prime factorization is the process of breaking down a number into its prime factors, which directly relates to the Fundamental Theorem of Arithmetic.

• The Fundamental Theorem of Arithmetic has no relation to prime factorization

• The Fundamental Theorem of Arithmetic states that all numbers are divisible by 1 and itself

• Prime factorization is only used for composite numbers, not primes

Why is the Fundamental Theorem of Arithmetic important in number theory?

• It is important because it helps in understanding the subtraction of integers.

• It is important because it helps in understanding the addition of integers.

• It is important because it helps in understanding the unique factorization of integers into prime numbers.

• It is important because it helps in understanding the multiplication of integers.