Integer Double-Step

This worksheet asks students to solve expressions that contain more than one operation, so they have to combine integer rules with the correct order of operations. Problems include expressions such as -6 + 4 × 3, 18 + (-3) + 10, -5 × 6 – 8, 24 – 36 ÷ 6, and other combinations of addition, subtraction, multiplication, and division. The important skill here is not just knowing how to work with negative numbers. Students must also know which calculation comes first. That makes this worksheet a valuable next step after students have practiced single-operation integer problems.

For a parent, this worksheet can be explained with one simple idea: do the operations in the correct order, one step at a time. Multiplication and division come before addition and subtraction unless parentheses tell you otherwise. So in -6 + 4 × 3, students should not add -6 + 4 first. They multiply 4 × 3 = 12, then solve -6 + 12 = 6. Writing each intermediate step can prevent a lot of mistakes.

Key Learning Objectives

• Follow the Correct Order of Operations: Students know multiplication and division happen before addition and subtraction.
• Apply Integer Sign Rules at Every Step: Learners manage positive and negative values throughout a multi-step problem.
• Rewrite Expressions Carefully: Students simplify one operation at a time instead of trying to do everything mentally.
• Combine Multiple Skills: Addition, subtraction, multiplication, division, and order of operations work together.
• Build Algebra Readiness: Multi-step numerical expressions prepare students for expressions containing variables.

Parent-Friendly Teaching Tips

• Do One Step Only: Ask the child, “What is the first operation you are allowed to do?”
• Rewrite the Remaining Expression: After solving one part, write the rest of the problem again with the new value.
• Check Signs Separately: Before multiplying or dividing, decide whether the result should be positive or negative.
• Do Not Automatically Work Left to Right: The order of operations decides what comes first.
• Encourage Written Work: Multi-step integer problems become much harder when students try to hold every calculation in their heads.

Why This Worksheet Matters

• It Combines Skills Students Often Learn Separately: Knowing multiplication rules is not enough if the student uses them at the wrong time.
• It Builds Organization: Students learn how to keep multi-step work neat and readable.
• It Helps Catch Careless Errors: Written steps make it easier to find where a wrong answer began.
• It Prepares for More Advanced Math: Algebra, formulas, and equations all depend on careful order-of-operations thinking.
• It Develops Persistence: Students learn that a complicated-looking expression can be handled one small step at a time.

A helpful way for parents to think about this worksheet is that there are two sets of rules working together. One set tells students which operation comes first. The other tells them how positive and negative numbers behave during that operation. If the child keeps those jobs separate, the expressions become much more manageable. In classroom and homeschool settings, this activity builds the careful, step-by-step thinking students need for later algebra.