Integer Operations and Order of Operations Review

A comprehensive vocabulary review of integer operations rules, order of operations steps, and applied word problems covering all lecture sources.

First Step in Solving Integer Problems

Identify which operation you need to do first according to the order of operations.

Second Step in Solving Integer Problems

Think about which integer operation rule you need to use.

Adding Integers with Same Signs

Add the numbers together and keep the signs.

Adding Integers with Different Signs

Subtract the numbers and keep the bigger number's sign.

Subtracting Integers

Change the problem to "adding the opposite."

Multiplying or Dividing Integers with Same Signs

Multiply or divide like normal; the answer will be positive.

Multiplying or Dividing Integers with Different Signs

Multiply or divide like normal; the answer will be negative.

Adding the Opposite

The procedure used to rewrite an integer subtraction problem as an addition problem by reversing the sign of the number being subtracted.

Order of Operations with Integers

The sequential procedure of evaluating multi-step integer expressions by performing multiplication and division before addition and subtraction, while applying integer sign rules at each step.

Consecutive Integers

Integers that follow each other in sequence without skipping, featured in problems such as finding two consecutive integers with a sum of $61$ or $-13$, and three consecutive integers with a sum of $51$.

Stock Market Integer Application

A real-world integer problem where positive and negative changes (Monday rose $28$ points, Tuesday rose $33$ points, Wednesday dropped $9$ points, Thursday rose $17$ points, Friday dropped $39$ points) are applied to an initial value of $1{,}196$.

Installment

A divided portion of a total sum paid over time, such as splitting Tamara's year-end Toronto trip cost of $\\text{456}$ into two equal installments of $\\text{228}$.