Operations with Rational Numbers

Front

What are rational numbers?

Back

Rational numbers are numbers that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

Front

How do you add two rational numbers with different denominators?

Back

To add two rational numbers with different denominators, find a common denominator, convert each fraction to an equivalent fraction with that denominator, and then add the numerators.

Front

What is the process for subtracting rational numbers?

Back

To subtract rational numbers, find a common denominator, convert the fractions, and then subtract the numerators.

Front

How do you multiply two rational numbers?

Back

To multiply two rational numbers, multiply the numerators together and the denominators together.

Front

What is the procedure for dividing rational numbers?

Back

To divide rational numbers, multiply by the reciprocal of the divisor (the second fraction).

Front

What is the decimal equivalent of 1/2?

Back

The decimal equivalent of 1/2 is 0.5.

Front

How do you convert a fraction to a decimal?

Back

To convert a fraction to a decimal, divide the numerator by the denominator.

Front

What is the significance of negative numbers in rational number operations?

Back

Negative numbers indicate values less than zero and affect the outcome of operations, such as changing the sign of the result when added or subtracted.

Front

What is the result of adding a positive rational number and a negative rational number?

Back

The result depends on the absolute values of the numbers; if the positive number is greater, the result is positive, and if the negative number is greater, the result is negative.

Front

How do you find the sum of multiple rational numbers?

Back

To find the sum of multiple rational numbers, add them pairwise, ensuring to use a common denominator when necessary.