Introduction to Integers (Class 6)

What are Integers?

Integers are a set of numbers that include:

Positive numbers (like +1, +2, +3, ...)

Negative numbers (like -1, -2, -3, ...)

Zero (0)

So, the set of integers looks like this:

... -5, -4, -3, -2, -1, 0, +1, +2, +3, +4, +5 ...

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Types of Integers

1. Positive Integers: Numbers greater than 0 (e.g., 1, 2, 3...)

2. Negative Integers: Numbers less than 0 (e.g., -1, -2, -3...)

3. Zero (0): Neither positive nor negative

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Important Points

Integers do not include fractions or decimals.

The number line is used to represent integers.

On the number line:

Numbers to the right of zero are positive.

Numbers to the left of zero are negative.

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Examples

Temperature: If it is 5°C above zero, we write it as +5°C. If it is 5°C below zero, we write it as -5°C.

Elevation: A mountain 500 meters above sea level is +500 m; a valley 200 meters below sea level is -200 m.

Great! Here's a worksheet on Integers for Class 6 with a mix of questions and activities:

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Integers Worksheet – Class 6

Part A: Fill in the blanks

1. The integer just before -3 is __________.

2. The integer just after 0 is __________.

3. -5 is __________ than -2. (greater/less)

4. On a number line, -1 lies to the __________ of 0.

5. +7 is __________ units away from 0.

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Part B: True or False

1. Zero is a positive number.

2. -10 is smaller than -2.

3. Integers include fractions.

4. +6 and -6 are at the same distance from zero on the number line.

5. -4 is greater than -2.

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Part C: Represent on a number line

1. Mark the integers: -4, -1, 0, 2, and 5 on a number line.

(Draw a line and mark these numbers properly.)

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Part D: Application-based questions

1. The temperature in Shimla was -3°C in the morning and rose by 5°C. What is the new temperature?

2. A submarine is 500 meters below sea level. Represent this using an integer.

3. A mountain is 2000 meters above sea level. Represent this using an integer.

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Part E: Arrange in order

1. Arrange the following integers in ascending order:

-3, 2, -1, 0, -5

2. Arrange the following integers in descending order:

4, -2, -6, 1, 0