pdf Order Of Operations - Solving Expressions With Decimals

This worksheet provides advanced practice evaluating numerical expressions that involve decimals, exponents, and multiple layers of operations. Students apply the order of operations carefully to ensure accurate results, working through complex expressions that require precision and organized work.

Problems include expressions such as \(6(12.5 + 5 + 4.5) + 15 \div 0.5\), \(4(5.6 + 3.5) \cdot 10 + 2^3\), \(8^2 + 6.4 \cdot 12.25 \div 4\), and \((2.5^2 + 0.5)^3\). Students must evaluate inside parentheses first, apply exponents correctly, and then complete multiplication and division from left to right before finishing with addition or subtraction. Several expressions include decimal operations throughout, reinforcing place value accuracy and careful computation.

Because all answers result in whole numbers, students receive built-in feedback if their work is organized and precise. This resource strengthens procedural fluency while pushing students to manage multiple operations, decimal computation, and exponent rules simultaneously. It works well as independent practice, enrichment, homework, small-group intervention, or assessment preparation in a unit on order of operations with rational numbers.

Skills Assessed

• Applying order of operations

• Evaluating expressions with decimals

• Simplifying expressions with exponents

• Performing multi-step decimal computation

• Maintaining organized, step-by-step work

Classroom Use

• Guided instruction on complex numerical expressions

• Independent practice

• Homework assignment

• Enrichment activity

• Assessment preparation

Details

1 page
Answer key included

ID# 0671