Rational Number Operations

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 absolute value of a number?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. For example, |-36| = 36 and |-33| = 33.

Front

How do you compare absolute values?

Back

To compare absolute values, evaluate the absolute values of the numbers and then compare the results. For example, |-36| > |-33| because 36 > 33.

Front

What is the order of operations in mathematics?

Back

The order of operations is a set of rules that dictates the sequence in which calculations are performed: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). This is often remembered by the acronym PEMDAS.

Front

True or false: The order of operations requires subtraction to be performed before addition.

Back

False. The order of operations does not require subtraction to be performed before addition; both operations are performed from left to right.

Front

What is the result of adding two rational numbers?

Back

The sum of two rational numbers is also a rational number. For example, 1/2 + 1/3 = 3/6 + 2/6 = 5/6.

Front

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

Back

The difference of two rational numbers is also a rational number. For example, 3/4 - 1/2 = 3/4 - 2/4 = 1/4.

Front

What happens when you multiply two rational numbers?

Back

The product of two rational numbers is also a rational number. For example, 2/3 * 3/4 = 6/12 = 1/2.

Front

What happens when you divide a rational number by another non-zero rational number?

Back

The quotient of two rational numbers (where the divisor is not zero) is also a rational number. For example, 1/2 ÷ 1/4 = 1/2 * 4/1 = 2.

Front

What is the significance of zero in rational number operations?

Back

Zero is a rational number, but it cannot be used as a denominator in division, as division by zero is undefined.