Integers and Expressions

Front

What is an integer?

Back

An integer is a whole number that can be positive, negative, or zero. Examples include -3, 0, and 5.

Front

What is the absolute value of an integer?

Back

The absolute value of an integer is its distance from zero on the number line, regardless of direction. For example, the absolute value of -4 is 4, and the absolute value of 4 is also 4.

Front

How do you add two integers with different signs?

Back

To add two integers with different signs, subtract the smaller absolute value from the larger absolute value and keep the sign of the integer with the larger absolute value. For example, -5 + 3 = -2.

Front

What is the result of adding two negative integers?

Back

The result of adding two negative integers is always a negative integer. For example, -3 + -2 = -5.

Front

What is the result of subtracting a negative integer from a positive integer?

Back

Subtracting a negative integer is the same as adding its absolute value. For example, 5 - (-3) = 5 + 3 = 8.

Front

What is the rule for multiplying two integers with the same sign?

Back

When multiplying two integers with the same sign, the result is positive. For example, -2 * -3 = 6.

Front

What is the rule for multiplying two integers with different signs?

Back

When multiplying two integers with different signs, the result is negative. For example, -2 * 3 = -6.

Front

What is an expression in mathematics?

Back

An expression is a combination of numbers, variables, and operators (such as +, -, *, /) that represents a value. For example, 3x + 2 is an expression.

Front

How do you evaluate an expression?

Back

To evaluate an expression, substitute the values of the variables into the expression and perform the operations. For example, if x = 2, evaluate 3x + 2: 3(2) + 2 = 6 + 2 = 8.

Front

What is the order of operations in mathematics?

Back

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