8.1 Comparing and Ordering Real Numbers

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What is a real number?

Back

A real number is any number that can be found on the number line, including both rational numbers (like integers and fractions) and irrational numbers (like √2 and π).

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What does it mean to compare numbers?

Back

To compare numbers means to determine which number is greater, less than, or equal to another number.

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What is scientific notation?

Back

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form, using powers of ten.

Front

How do you convert a fraction to a mixed number?

Back

To convert a fraction to a mixed number, divide the numerator by the denominator. The quotient is the whole number, and the remainder over the original denominator is the fractional part.

Front

What is the symbol for 'greater than'?

Back

The symbol for 'greater than' is >.

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What is the symbol for 'less than'?

Back

The symbol for 'less than' is <.

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What is the symbol for 'equal to'?

Back

The symbol for 'equal to' is =.

Front

How do you order numbers from least to greatest?

Back

To order numbers from least to greatest, compare each number and arrange them starting from the smallest value to the largest.

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Back

Front

How do you compare negative numbers?

Back

When comparing negative numbers, the number with the greater absolute value is actually the smaller number. For example, -3 is less than -2.