This document defines integers and describes their properties. Integers include all whole numbers and their opposites on the negative number line, including zero. Positive integers are greater than zero, while negative integers are less than zero. A number line visually represents integers extending in both directions from zero. Negative numbers are used to represent temperatures below zero and depths below sea level. Integers can be added, subtracted, multiplied, and divided, with specific rules governing the sign of the resulting integer based on the signs of the integers in the operation.

1. INTEGERS
MADE BY –
DEEPANSHA SINGH
CLASS – VI A
ROLL NO. - 13

2. What Are Integers?
• Integers – Integers are all the
whole numbers and all of their
opposites on the negative
number line including zero. i.e.
7 opposite -7

3. What Are Positive Integers?
• Positive integers – a number
greater than zero.
0 1 2 3 4 5 6

4. What Are Negative Integers?
• Negative integers – a number
less than zero.
-6 -5 -4 -3 -2 -1 0

5. What Is A Number Line?
Number line -
• A line with arrows on both ends that show
the integers with slash marks
• Arrows show the line goes to infinity in
both directions ( + and -)
• Uses a negative sign (-) with negative
numbers but no positive sign (+)
with positive numbers
• Zero is the origin and is neither
negative nor positive

6. Negative Numbers Are Used to
Measure Temperature

7. Negative Numbers Are Used to
Measure Under Sea Level
30
20
10
0
-10
-20
-30
-40
-50

8. Negative Numbers Are Used to
Show Debt
Let’s say our parents bought a car but
had to get a loan from the bank for $5,000.
When counting all their money they add
in -$5.000 to show they still owe the bank.

9. Positive & Negative Numbers
Working with positive and negative
numbers is like driving in traffic.
We have to watch the traffic signs
and follow the driving rules.

10. Hint
• If we don’t see a negative or
positive sign in front of a
number it is positive. i.e.
9 means + 9

11. What Can We Do to Integers?
• Integers are numbers, so we can add,
subtract, multiply, and divide them
• Each operation has different rules to follow

12. Adding Rules – Same Signs
• If the integers have the SAME signs: ADD
the numbers & keep the same sign!
• Positive + Positive = Positive Answer
• Negative + Negative = Negative Answer
Examples: -3 + (-10) = ? ? = -13
• 6 + (8) = ? ? = 14

13. Adding Rules – Different Signs
• If the integers have the DIFFERENT signs:
SUBTRACT the numbers & use sign of
the BIGGER number!
• Bigger # is Positive = Positive Answer
• Bigger # is Negative = Negative Answer
Examples: -13 + (7) = ? ? = -6
• 23 + (-8) = ? ? = 15

14. Subtracting Rules
• Put ( ) around second number & its sign
• Change SUBTRACTION sign to an ADDITION sign
• Change sign of 2nd number to its opposite
• Follow the rules for ADDITION:
-SAME signs: Add & keep the same sign
-DIFFERENT signs: Subtract & use sign
of bigger
Examples: -5 – -10 = ? ? = 5
9 - 23 = ? ? = -14

15. Multiplying Rules
• Multiply the numbers like usual
• If the integers have the SAME signs:
ANSWER will be POSITIVE
• If the integers have DIFFERENT signs:
ANSWER will be NEGATIVE
Examples: -3 · (-5) = ? ? = 15
• -9 · (-10) = ? ? = 90
-7 · 7 = ? ? = -49
• 6 · -6 = ? ? = -36

16. Dividing Rules
• Divide the numbers like usual
• If the integers have the SAME signs:
ANSWER will be POSITIVE
• If the integers have DIFFERENT signs:
ANSWER will be NEGATIVE
• Examples: -33 ÷ (-3) = ? ? = 11
• -90 ÷ (-10) = ? ? = 9
-20 ÷ 2 = ? ? = -10
• 6 ÷ (-6) = ? ? = -1

17. THE END