real numbers class-10 ch-1

Front

What is a real number?

Back

A real number is any number that can be found on the number line, including both rational and irrational numbers.

Front

Define rational numbers.

Back

Rational numbers are numbers that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

Front

What is the smallest value among the following: 7.1, 6π, 20/3, √51?

Back

20/3 is the smallest value.

Front

What is the largest number that divides 70 and 125, leaving remainders 5 and 8 respectively?

Back

The largest number is 13.

Front

What is the least common multiple (LCM) of the numbers from 1 to 10?

Back

The least common multiple is 2520.

Front

What type of number is (√3 + 5) - (√3 - 5)?

Back

The result is a rational number.

Front

Classify the number ⅚.

Back

⅚ is a real and rational number.

Front

What is the difference between rational and irrational numbers?

Back

Rational numbers can be expressed as fractions, while irrational numbers cannot be expressed as simple fractions.

Front

What is the square root of 51 approximately?

Back

The square root of 51 is approximately 7.14.

Front

How do you find the greatest common divisor (GCD) of two numbers?

Back

The GCD can be found using the prime factorization method or the Euclidean algorithm.