Integers Worksheet for Class 6 - Positive, Negative & Zero Numbers PDF

Complete integers worksheet for Class 6 with 24 questions covering positive and negative numbers, number line operations, temperature problems, and real-world applications. Includes detailed answer key and progress guide.

What are Integers?

Integers are whole numbers that can be positive, negative, or zero. They include all counting numbers, their opposites, and zero.

Types of Integers:

Positive Integers: Numbers greater than zero → 1, 2, 3, 4, 5, ... (written with or without + sign)

Negative Integers: Numbers less than zero → -1, -2, -3, -4, -5, ... (always written with - sign)

Zero (0): Neither positive nor negative

The Number Line:

Integers can be shown on a number line. Positive integers are to the right of zero, and negative integers are to the left of zero.

Important Points to Remember:

Every positive number has an opposite negative number

On a number line, numbers increase as we move from left to right

-5 is less than -2 (because -5 is farther left on the number line)

The greater the negative number's value, the smaller the integer (e.g., -10 < -3)

Solved Example

Question: The temperature in Shimla on Monday was 3°C. On Tuesday, it dropped by 8 degrees. What was the temperature on Tuesday? Show this on a number line.

Solution:

Step 1: Monday's temperature = 3°C (positive integer)

Step 2: Temperature dropped = -8 degrees (negative change)

Step 3: Tuesday's temperature = 3 + (-8) = 3 - 8 = -5°C

Answer: The temperature on Tuesday was -5°C

Sample Practice Problems

Write the integer that represents: 500 meters above sea level, a loss of ₹250, 15 degrees below zero

Fill in the blanks: The opposite of +8 is ____, the opposite of -12 is ____

Arrange the following integers in ascending order: -8, 3, -2, 0, 7, -5, 1

The temperature at 6 AM was -2°C. By noon, it increased by 7 degrees. What was the temperature at noon?

A diver is at 15 meters below sea level. He descends 8 more meters. At what depth is he now?

A bird is flying 20 meters above ground level (+20). It sees food and dives down 35 meters. Where is the bird now relative to ground level?

Scoring Guide

20-24 marks: Excellent! You have a strong understanding of integers! You're ready to move on to operations with integers. Practice a few challenging word problems daily to stay sharp.

15-19 marks: Very Good! You understand most concepts well. Review the questions you got wrong, especially in Part C. Practice number line problems and real-life applications for 15 minutes daily.

10-14 marks: Good Start! You have the basics but need more practice. Focus on understanding negative numbers on the number line, comparing integers, and solving 10 simple word problems about temperature and money daily.

Below 10 marks: Keep Trying! Don't worry! Integers are tricky at first. Practice with a number line from -10 to +10 daily. Focus on placing integers and finding opposites. Work on comparing two integers and solve 5 real-life word problems daily.

Tips for Mastering Integers

Number Line Practice: Create your own number line and mark 5 different integers daily

Real-Life Connection: Notice integers around you - thermometers, lift buttons, bank statements

Opposite Numbers: Every day, write 5 pairs of opposite integers (e.g., 7 and -7)

Comparison Trick: On a number line, the number on the RIGHT is ALWAYS greater

Word Problem Strategy: Read carefully, identify the starting point, then track increases (+) and decreases (-)

Temperature Problems: Remember - "increase" means move right, "decrease" means move left on number line

Money Problems: Earning/Receiving = Add (+), Spending = Subtract (-)

Common Mistakes to Avoid

Confusing which negative number is greater (-5 vs -2)

Forgetting that zero is neither positive nor negative

Not using the number line to visualize problems

Mixing up "above" and "below" in elevation problems

Not tracking cumulative changes in multi-step problems