Grades 6–7
Medium
Official
Grade 6 Math: Integers: Standard Practice
Free integer practice for middle school math. Review comparing integers, absolute value, and adding and subtracting positive and negative numbers. Grade-level practice aligned to typical classroom expectations and unit assessments.
For teachers
Use before introducing coordinate plane graphing so students are fluent with negative numbers on a number line.
Learning support
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Study guide
# Medium Level Guide
Grade-level practice aligned to typical classroom expectations and unit assessments.
# Positive and Negative Numbers
Integers include positive numbers, negative numbers, and zero. They model situations like temperature above and below zero, elevation, and debt. On a number line, numbers increase to the right and decrease to the left.
# Absolute Value
Absolute value is the distance from zero on a number line, always written as a positive number. |−7| = 7 and |7| = 7. Opposites are the same distance from zero on opposite sides, like 5 and −5.
# Adding and Subtracting Integers
Adding a negative moves left on the number line. Subtracting is the same as adding the opposite: 5 − (−3) = 5 + 3. When signs match, add absolute values and keep the sign. When signs differ, subtract absolute values and keep the sign of the larger.
# Multiplying and Dividing
Same signs give a positive product or quotient. Different signs give a negative result. Any number times zero is zero. These rules extend to expressions with multiple operations and parentheses.
FAQ
- Do students need a number line?
- A number line helps visualize operations, but questions are written so students can reason without one.
- Is this a prerequisite for algebra?
- Yes. Integer fluency is essential before solving equations with negative coefficients and constants.