Real Number System Review

Front

What is a terminating decimal?

Back

A terminating decimal is a decimal that has a finite number of digits after the decimal point. For example, 0.75 is a terminating decimal.

Front

What is a repeating decimal?

Back

A repeating decimal is a decimal that has one or more digits that repeat infinitely. For example, 1/3 = 0.333... is a repeating decimal.

Front

How can you determine if a fraction will result in a terminating or repeating decimal?

Back

A fraction will have a terminating decimal if its denominator (in simplest form) has only the prime factors 2 and/or 5. If it has any other prime factors, it will be a repeating decimal.

Front

What is the approximate value of √7 rounded to the nearest hundredth?

Back

The approximate value of √7 rounded to the nearest hundredth is 2.65.

Front

How do you estimate the square root of a number?

Back

To estimate the square root, find two perfect squares between which the number lies. For example, √95 is between √81 (9) and √100 (10).

Front

Classify the number -23. What types of numbers does it belong to?

Back

-23 is a real number, a rational number, and an integer.

Front

True or False: All integers are whole numbers.

Back

False. Whole numbers are non-negative integers (0, 1, 2, ...), while integers include negative numbers as well (-1, -2, ...).

Front

What is a rational number?

Back

A rational number is any number that can be expressed as a fraction a/b, where a and b are integers and b is not zero.

Front

What is an irrational number?

Back

An irrational number is a number that cannot be expressed as a simple fraction. Its decimal representation goes on forever without repeating, such as √2.

Front

What is the difference between a whole number and an integer?

Back

Whole numbers are non-negative integers (0, 1, 2, ...), while integers include both positive and negative whole numbers (-1, 0, 1, ...).