HCSP: The Real Number System

Front

What is a whole number?

Back

A whole number is a non-negative integer, which includes 0 and all positive integers (0, 1, 2, 3, ...). Whole numbers do not include fractions or decimals.

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero. Examples include 1/2, -3, and 0.75.

Front

What is an irrational number?

Back

An irrational number is a number that cannot be expressed as a simple fraction. It cannot be written as a ratio of two integers. Examples include √2 and π.

Front

What is a repeating decimal?

Back

A repeating decimal is a decimal fraction that eventually repeats the same sequence of digits. For example, 0.333... (which is equal to 1/3) is a repeating decimal.

Front

What is the difference between integers and whole numbers?

Back

Integers include all whole numbers and their negative counterparts. Whole numbers are only non-negative integers (0 and positive integers).

Front

Classify the number -14. What types of numbers does it belong to?

Back

-14 is an integer, a rational number, and a real number. It is not a whole number.

Front

What is the classification of the number 41.013?

Back

41.013 is a rational number because it can be expressed as a fraction (e.g., 41013/1000).

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Back

Front

What is a natural number?

Back

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

Front

What is a real number?

Back

Real numbers include all the numbers on the number line, including rational numbers (like integers and fractions) and irrational numbers.