Explain and Solve Answer Key

Explain and Solve asks students to study decimal problems that were solved incorrectly, identify the mistake, explain what went wrong, and then solve each problem correctly. The worksheet includes addition, subtraction, multiplication, and division errors, giving students practice with decimal alignment, regrouping, decimal placement, and operation rules. It strengthens error analysis, decimal operations, mathematical explanation, place value, self-checking, and reasoning. It is especially appropriate for students in grades 5-6 who need to move beyond getting an answer and begin understanding why a calculation is correct or incorrect.

Key Learning Objectives

• Inspect the original work: Students look closely at the equation and the stated answer.
• Identify the mistake: Learners decide whether the error involves place value, computation, decimal placement, or the operation itself.
• Explain the error: Students use clear math language to describe what went wrong.
• Solve correctly: Children redo the calculation and write the accurate answer.

Teaching Advantages

• Turns mistakes into learning: Students see that incorrect work can reveal exactly which concept needs attention.
• Builds self-checking habits: Learners become more likely to examine their own answers before moving on.
• Supports parent guidance: Adults can ask, “What is the first place where this solution stops making sense?”
• Mixes all four operations: Students must think carefully instead of applying the same rule over and over.
• Ready to use: The worksheet works for classwork, homework, tutoring, intervention, or homeschool instruction.

Error analysis is powerful because students must understand the math well enough to judge someone else’s thinking. A misplaced decimal, an incorrect regrouping step, or a multiplication answer that is much too large can often be spotted by checking the size of the numbers first. This worksheet helps learners strengthen decimal fluency, place-value awareness, logical reasoning, mathematical communication, and confidence. In classroom and homeschool settings, it reinforces the important habit of asking not just “What is the answer?” but also “Why does this answer make sense?”