Evaluate Multi-Step Expressions with Fractions and Decimals
To evaluate multi-step expressions containing fractions and decimals, apply the order of operations: solve parentheses first, then multiplication and division, then addition and subtraction. This Grade 5 math skill from Eureka Math Chapter 26 covers interpretation of numerical expressions.
Key Concepts
To evaluate a multi step expression, follow the order of operations (PEMDAS): 1. P arentheses: Evaluate expressions inside parentheses first. 2. M ultiplication and D ivision: Perform these operations from left to right. 3. A ddition and S ubtraction: Perform these operations from left to right.
Common Questions
What is the order of operations for evaluating expressions?
Evaluate Parentheses first, then Multiplication and Division from left to right, then Addition and Subtraction from left to right.
How do you evaluate an expression with both fractions and decimals?
Convert all values to the same format before applying the order of operations, which prevents errors when combining different number types.
What is an example of evaluating a multi-step expression with fractions?
For the expression (1/2 plus 1/4) times 2/3: first evaluate the parentheses to get 3/4, then multiply 3/4 times 2/3 equals 1/2.
Why is the order of operations important?
The order of operations ensures everyone gets the same answer for the same expression, since different evaluation sequences without it would give different results.