Rational Numbers: Math Notes

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 ≠ 0.

Front

Give examples of rational numbers.

Back

Positive and negative fractions (e.g., 3/4, -5/8), integers (e.g., -3, 0, 7), terminating decimals (e.g., 0.75 = 3/4), and repeating decimals (e.g., 0.6̅ = 2/3).

Front

What are examples of numbers that are not rational?

Back

Numbers like π or non-repeating, non-terminating decimals.

Front

How can rational numbers be represented on a number line?

Back

Rational numbers can be placed accurately on a number line using equivalent decimals or fractions.

Front

How do you convert a fraction to a decimal?

Back

Divide the numerator by the denominator.

Front

How do you convert a terminating decimal to a fraction?

Back

For example, 0.4 = 4/10 = 2/5.

Front

How do you convert a repeating decimal to a fraction?

Back

For example, 0.3̅ = 1/3.

Front

What is the method for comparing rational numbers?

Back

Use a number line, find a common denominator, convert to decimals, and use symbols like >, <, =.

Front

What is the process for adding or subtracting rational numbers with the same denominator?

Back

Add or subtract the numerators.

Front

What do you do when adding or subtracting rational numbers with different denominators?

Back

Find the least common multiple (LCM), convert, then operate.