Adding & 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

How do you add two rational numbers with the same denominator?

Back

To add two rational numbers with the same denominator, you add the numerators and keep the denominator the same.

Front

How do you subtract two rational numbers with the same denominator?

Back

To subtract two rational numbers with the same denominator, you subtract the numerators and keep the denominator the same.

Front

What is the process for adding 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, then add the numerators.

Front

What is the process for subtracting rational numbers with different denominators?

Back

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

Front

What does it mean to evaluate an expression?

Back

To evaluate an expression means to calculate its value by substituting any variables with their given values and performing the necessary operations.

Front

How do you handle negative signs when adding or subtracting rational numbers?

Back

When adding or subtracting rational numbers, pay attention to the signs: subtracting a negative is the same as adding a positive, and adding a negative is the same as subtracting a positive.

Front

What is the result of subtracting a negative number from another number?

Back

Subtracting a negative number is equivalent to adding its positive counterpart.

Front

How do you simplify an expression like -4 - (-2)?

Back

To simplify -4 - (-2), change the subtraction of a negative to addition: -4 + 2 = -2.

Front

What is the value of an expression when a variable is substituted?

Back

The value of an expression is determined by replacing the variable with its assigned value and then performing the operations.