order of operations
Reading Passage 1
Solving with Order
In math, we follow a rule called the order of operations. This rule tells us which steps to do first, next, and last.
Look at this example: 5 + 3 × 2. We solve 3 × 2 first. That gives us 6. Then we do 5 + 6. The answer is 11. We follow the order of operations to do this.
Sometimes, we use parentheses to show where to start. In (5 + 3) × 2, we add first because of the parentheses. Then we multiply. The parentheses tell us what part comes first.
Following the order of operations helps us work through math problems in the right way.
Reading Passage 2
Solving with Order
When solving a math expression with more than one operation, it’s important to follow a set of rules called the order of operations. These rules help us decide which step to do first, next, and last.
For example, in the expression 5 + 3 × 2, we begin with multiplication: 3 × 2 equals 6. Then we add 5 + 6 to get 11. This sequence follows the correct order of operations.
Sometimes, expressions include parentheses to show which part to solve first. In (5 + 3) × 2, the parentheses tell us to add before multiplying. Expressions can look similar but be solved differently depending on the placement of parentheses.
Using the order of operations helps people solve math expressions in a clear and consistent way.
Reading Passage 3
Solving with Order
Mathematical expressions often contain several operations. To solve them accurately, we use the order of operations—a set of steps that guide the correct order for solving.
Consider this expression: 5 + 3 × 2. The rule tells us to multiply first, so 3 × 2 equals 6. Then we add 5 + 6 to get 11. This approach ensures consistency.
Now imagine a similar expression: (5 + 3) × 2. Here, the parentheses signal a different starting point. We add 5 + 3 first, then multiply the result by 2. The use of parentheses can shift how we approach and solve an expression.
The order of operations helps keep mathematical work organized and predictable.