Real Number System

Front

What are Natural Numbers?

Back

Natural numbers are the set of positive integers starting from 1, 2, 3, and so on. They do not include zero or negative numbers.

Front

Are all Natural Numbers Rational?

Back

True. All natural numbers can be expressed as a fraction with a denominator of 1, making them rational.

Front

What is an Integer?

Back

Integers are whole numbers that can be positive, negative, or zero. They do not include fractions or decimals.

Front

Is -5.5 an integer? Why or why not?

Back

No, because integers do not have decimals.

Front

What are Rational Numbers?

Back

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

Front

Is 5.676677666777... a rational number? Why or why not?

Back

No, because it is a non-repeating decimal and does not fit the definition of a rational number.

Front

What is a Repeating Decimal?

Back

A repeating decimal is a decimal that has a digit or group of digits that repeat infinitely, such as 0.333... or 1.666... .

Front

What is an Irrational Number?

Back

Irrational numbers cannot be expressed as a fraction of two integers. Their decimal representation is non-repeating and non-terminating, like π or √2.

Front

What is the set of Rational Numbers?

Back

The set of rational numbers includes all integers, fractions, and terminating or repeating decimals.

Front

Which of the following is NOT a rational number: -42, π, 0, 14.7?

Back

π is not a rational number because it cannot be expressed as a fraction.