Order of Operations with Integers

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 acronym PEMDAS helps remember the order: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

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 a number?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. For example, the absolute value of -5 is 5.

Front

What does it mean for two numbers to be opposites?

Back

Two numbers are opposites if they are the same distance from zero on the number line but in opposite directions. For example, -4 and 4 are opposites.

Front

How do you simplify an expression with parentheses?

Back

To simplify an expression with parentheses, first perform the operations inside the parentheses, then follow the order of operations for the remaining calculations.

Front

What is the result of -8 * (-3 + -10)?

Back

The result is 99.

Front

What does it mean to add a negative number?

Back

Adding a negative number is the same as subtracting its absolute value. For example, adding -5 is the same as subtracting 5.

Front

How do you represent a loss in a checking account?

Back

A loss in a checking account is represented by a negative integer. For example, if you spend $20, it can be represented as -20.

Front

What is the result of 5 * (-12) + (-25)?

Back

The result is -85.

Front

What is the significance of the negative sign in front of a number?

Back

The negative sign indicates that the number is less than zero, representing a loss or a value below zero.