➕ Integers Adventure ➖

Grade 6 Integers Worksheet – Free Online Practice

Grade 6 Integers Worksheet Free Online: Master integers with DigiSadhan's free interactive Grade 6 math practice worksheet. Generate up to 1,000 unique questions and practise adding, subtracting, multiplying and dividing positive and negative integers, comparing integers, reading integer number lines and solving real-world integer word problems. Choose Easy, Medium or Challenge difficulty, select a focused question style or Mixed Integers, and start a timed or untimed test. Shuffle the whole worksheet whenever you need a fresh practice set. Students enter answers in dedicated mobile-friendly boxes and click Check Answer for instant feedback. Correct answers turn green with a positive animation and sound; incorrect answers turn red with a gentle retry animation and sound. The Show Answer control stays locked until a question has been checked, encouraging students to attempt each problem independently. A live progress bar shows practice completion and the score updates as questions are checked. When the test is completed, students receive their final score and percentage and the complete answer key is unlocked. The worksheet can also be downloaded as a PDF for printing, classroom practice, homework, tutoring and revision.

Complete Grade 6 Integers Worksheet Practice Guide

Integers are whole numbers and their opposites, together with zero. They include positive numbers such as 1, 2, 3 and 10, negative numbers such as −1, −2, −3 and −10, and the number 0. Integers are important in Grade 6 because they provide a foundation for later work with rational numbers, algebraic expressions, equations and coordinate graphs. Students encounter integers when describing temperatures above or below zero, money gained or owed, elevations above or below sea level, changes in scores and movement along a number line.

What Are Integers?

Zero is an integer but it is neither positive nor negative. On a number line, positive integers appear to the right of zero and negative integers appear to the left. The farther right a number is, the greater it is. This makes a number line one of the best visual tools for comparing integers.

Absolute Value

Absolute value describes distance, so it is never negative. The absolute values of 7 and −7 are both 7 because both numbers are seven units from zero. Absolute value is especially useful when students add or subtract integers with different signs.

Comparing Integers

Negative numbers can be confusing at first. A useful strategy is to imagine a number line. Moving right means increasing; moving left means decreasing. Therefore, −1 is greater than −5 even though 5 is larger than 1 as a positive number. When comparing negative integers, the number closer to zero is greater.

Adding Integers with the Same Sign

When both integers have the same sign, add their absolute values. If both are positive, the answer is positive. If both are negative, the answer is negative. A number line can show this movement clearly: adding a positive number moves right, while adding a negative number moves left.

Adding Integers with Different Signs

For different signs, find the difference between the absolute values. Then determine which original number has the greater absolute value. Its sign becomes the sign of the answer. This rule helps avoid mistakes when positive and negative numbers are combined.

Subtracting Integers

This is one of the most important integer rules. Keep the first number, change subtraction to addition, and change the sign of the second number. For example, 5 − 9 becomes 5 + (−9), which equals −4. Likewise, 6 − (−4) becomes 6 + 4, which equals 10.

Multiplying Integers

First multiply the absolute values. Then decide the sign. Two positive factors give a positive product, and two negative factors also give a positive product. One positive and one negative factor give a negative product. This sign rule works for any integer multiplication problem.

Dividing Integers

Integer division follows the same sign pattern as multiplication. Divide the absolute values first and then determine the sign. In this worksheet, division questions use exact integer quotients so students can focus on sign rules and computation.

Integer Number Lines

Number lines turn integer operations into movement. Starting at −3 and adding 5 means moving five units to the right, ending at 2. Starting at 4 and adding −7 means moving seven units left, ending at −3. Drawing or imagining the number line can make difficult sign problems much easier.

Real-World Integer Applications

Integers appear naturally in everyday situations. Temperatures can be above or below zero. A bank balance can represent money owned or money owed. Elevation can be positive above sea level and negative below sea level. A game score may rise or fall as points are gained or lost. In these situations, positive and negative signs communicate direction or change.

Temperature Problems

Temperature questions are useful because they provide a visual meaning for negative integers. When a temperature rises from a negative value to a positive value, the change may be larger than either individual number. Carefully subtract the starting value from the final value.

Money and Integer Change

Integers can model financial gains and losses. A deposit can be represented by a positive amount while a withdrawal or debt can be represented by a negative amount. Students should identify whether each event increases or decreases the quantity before choosing an operation.

Order of Operations with Integers

When an expression contains multiple operations, follow the standard order of operations. Perform multiplication and division from left to right, then addition and subtraction from left to right. Negative signs should be treated carefully, especially when parentheses are present.

Common Grade 6 Integer Mistakes

• Thinking −8 is greater than −3 because 8 is greater than 3.
• Forgetting that zero is neither positive nor negative.
• Changing the wrong sign when subtracting integers.
• Adding absolute values without choosing the correct final sign.
• Forgetting that two negative factors produce a positive product.
• Forgetting that different signs produce a negative quotient.
• Ignoring parentheses around negative numbers.
• Using a calculator without first estimating whether the sign and size of the result make sense.

How to Use This Grade 6 Integers Worksheet

1. Choose 10 to 1,000 questions.
2. Select Easy, Medium or Challenge difficulty.
3. Select a focused integer skill or Mixed Integers.
4. Choose a timer or No Timer.
5. Click Start New Test.
6. Read each question and enter your answer.
7. Click Check Answer.
8. Correct answers turn green and incorrect answers turn red.
9. Use Show Answer only after checking if you need help.
10. Shuffle for a fresh set whenever you want additional practice.
11. Complete the test to unlock the final score and complete answer key.

Quick Integer Formula Summary

Why Regular Integer Practice Helps

Regular practice helps students recognise integer patterns instead of relying on guesswork. Repeated exposure to positive and negative operations builds automaticity with signs while number-line and real-world questions strengthen conceptual understanding. Teachers can use the generator for warm-ups, independent work, homework, tutoring and revision, while parents can create fresh sets for additional practice. The large question limit and shuffle feature make repeated practice practical without depending on a single fixed worksheet. Immediate feedback also lets students identify a sign error while the problem is still fresh in their mind.