Adding and Subtracting Rational Numbers

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

Front

What is the difference between a terminating decimal and a repeating decimal?

Back

A terminating decimal is a decimal that has a finite number of digits after the decimal point, while a repeating decimal has one or more digits that repeat infinitely.

Front

What conditions must a fraction meet to be a terminating decimal?

Back

A fraction will be a terminating decimal if its denominator (in simplest form) has only the prime factors 2 and/or 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 decimal representation of -4/11?

Back

The decimal representation of -4/11 is approximately -0.3636, which is a repeating decimal.

Front

How do you add rational numbers with different denominators?

Back

To add rational numbers with different denominators, first 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, convert them to a common denominator, then subtract the numerators while keeping the common denominator.

Front

What is the sum of 1.35 and -2/5?

Back

The sum of 1.35 and -2/5 is 1.35 - 0.4 = 0.95.

Front

How do you simplify the fraction 3/40?

Back

The fraction 3/40 is already in its simplest form, as there are no common factors between 3 and 40.

Front

What is the first step in solving an application-based question involving rational numbers?

Back

The first step is to carefully read the problem to understand what is being asked and identify the rational numbers involved.