Operations with 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 sign?

Back

When adding two rational numbers with the same sign, you add their absolute values and keep the common sign.

Front

How do you add two rational numbers with different signs?

Back

When adding two rational numbers with different signs, you subtract the smaller absolute value from the larger absolute value and keep the sign of the number with the larger absolute value.

Front

What is the result of -15 - (-9)?

Back

The result is -6.

Front

How do you subtract a negative number from a positive number?

Back

Subtracting a negative number is the same as adding its positive counterpart.

Front

What is the order of operations in mathematics?

Back

The order of operations is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right), often abbreviated as PEMDAS.

Front

How do you divide a rational number by a negative number?

Back

When dividing a rational number by a negative number, the result will be negative.

Front

What is the absolute value of a number?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction; it is always non-negative.

Front

How do you compare two rational numbers?

Back

To compare two rational numbers, convert them to a common denominator or convert them to decimal form and then compare their values.

Front

What is the result of adding two negative rational numbers?

Back

The result of adding two negative rational numbers is always negative.