Real Numbers System

Front

What is a real number?

Back

A real number is any value that represents a quantity along a continuous line, including all 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 are irrational numbers?

Back

Irrational numbers are numbers that cannot be expressed as a simple fraction; they have non-repeating, non-terminating decimal expansions.

Front

Is 0 a rational number?

Back

Yes, 0 is a rational number because it can be expressed as 0/1.

Front

What is the decimal representation of 1/3?

Back

The decimal representation of 1/3 is 0.333..., which is a repeating decimal.

Front

Classify the number √2.

Back

√2 is classified as an irrational number.

Front

What is the classification of the number 8/11?

Back

8/11 is classified as a rational and real number.

Front

What is the value of π (pi)?

Back

π (pi) is an irrational number approximately equal to 3.14159.

Front

What is the square root of 49?

Back

The square root of 49 is 7, which is a rational number.

Front

What is the result of dividing the square root of 49 by 2?

Back

The result is 7/2, which is a rational number.