Real Numbers Test Review

Front

What are real numbers?

Back

Real numbers include all the numbers on the number line, including rational numbers (like integers and fractions) and irrational numbers (like √2 and π).

Front

Define rational numbers.

Back

Rational numbers are numbers that can be expressed as the quotient of two integers, where the denominator is not zero. Examples include 1/2, -3, and 0.75.

Front

Define irrational numbers.

Back

Irrational numbers are numbers that cannot be expressed as a simple fraction. They have non-repeating, non-terminating decimal expansions. Examples include √2 and π.

Front

How do you convert a number to scientific notation?

Back

To convert a number to scientific notation, move the decimal point to create a number between 1 and 10, then multiply by 10 raised to the power of the number of places the decimal was moved.

Front

What is the scientific notation of 46,320,000?

Back

The scientific notation of 46,320,000 is 4.632 × 10^7.

Front

How do you compare real numbers?

Back

To compare real numbers, convert them to the same form (decimals or fractions) and then determine which is greater or lesser.

Front

What is a Venn diagram?

Back

A Venn diagram is a visual representation used to show the relationships between different sets, including overlaps and differences.

Front

What is the relationship between rational and irrational numbers?

Back

Rational numbers and irrational numbers together make up the set of real numbers. Rational numbers can be represented as fractions, while irrational numbers cannot.

Front

How do you order numbers from least to greatest?

Back

To order numbers from least to greatest, compare their values and arrange them in ascending order.

Front

What is the decimal equivalent of -19/3?

Back

The decimal equivalent of -19/3 is approximately -6.33.