Evaluating Expressions with Rational Numbers
This Grade 7 math skill from Reveal Math, Accelerated develops students ability to evaluate mathematical expressions that contain rational numbers, including fractions, decimals, and negative numbers. Students apply order of operations (PEMDAS) and properties of rational numbers to simplify complex expressions accurately.
Key Concepts
When evaluating expressions containing rational numbers (positive and negative fractions, decimals, and integers), apply the standard Order of Operations and Properties of Operations (such as the Commutative, Associative, and Distributive Properties) to simplify and solve.
Common Questions
What are rational numbers?
Rational numbers are numbers that can be expressed as a fraction p/q where p and q are integers and q is not zero. They include integers, fractions, terminating decimals, and repeating decimals.
How do you evaluate an expression with rational numbers?
Follow the order of operations (PEMDAS): simplify inside parentheses first, then exponents, then multiply and divide left to right, then add and subtract left to right.
What is a common mistake when evaluating expressions with negative fractions?
Students often forget to apply negative signs correctly when multiplying or dividing. Remember that a negative times a negative is positive.
Can expressions with rational numbers include mixed numbers?
Yes. Convert mixed numbers to improper fractions before evaluating to avoid errors in calculations.
Where is this skill taught in Reveal Math Accelerated?
Evaluating expressions with rational numbers is a Grade 7 topic in the Reveal Math, Accelerated textbook.