It's a ppt of negative numbers

1. CHAPTER – INTEGER
CLASS – VI
SHARDEIN SCHOOL

2. ✅ UNDERSTAND WHAT INTEGERS ARE
✅ REPRESENT INTEGERS ON A NUMBER LINE
✅ COMPARE AND ORDER INTEGERS
✅ LEARN PROPERTIES OF OPERATIONS ON
INTEGERS
✅ SOLVE PROBLEMS INVOLVING INTEGERS

3. NATURAL NUMBERS
•NUMBERS WE USE FOR COUNTING THINGS.
•STARTS FROM 1 AND GOES ON:
•1, 2, 3, 4, 5, … (UP TO INFINITY).
•EXAMPLE: COUNTING APPLES (1 APPLE, 2 APPLES, …).
•👉 SMALLEST NATURAL NUMBER - 1

4. WHOLE NUMBER
• NATURAL NUMBERS PLUS ZERO (0).
STARTS FROM 0, 1, 2, 3, 4, … (UP TO INFINITY).
EXAMPLE: NUMBER OF PENS IN A BOX (MAYBE 0 PENS).
👉 SMALLEST WHOLE NUMBER = 0

5. WHAT ARE INTEGERS?
•INTEGERS INCLUDE:
•✅ ALL POSITIVE WHOLE NUMBERS
•✅ ALL NEGATIVE WHOLE NUMBERS
•✅ ZERO
EXAMPLES: –3, –2, 0, +1, +2

7. DAILY LIFE USES INTEGER
•✅ TEMPERATURE (–5°C)
•✅ BANK BALANCE (– 500)
₹
•✅ ALTITUDE ABOVE/BELOW SEA LEVEL
•✅ GOALS SCORED IN A GAME (+3)

9. INTEGER ON NUMBER LINE
•✅ NEGATIVE INTEGERS LEFT OF ZERO
•✅ POSITIVE INTEGERS RIGHT OF ZERO
•ILLUSTRATION: NUMBER LINE FROM –5 TO
+5---

11. COMPARING INTEGERS
•✅ GREATER NUMBERS ARE TO THE RIGHT.
•✅ SMALLER NUMBERS TO THE LEFT.
•EXAMPLE: –2 < +1

13. ASCENDING AND DESCENDING ORDER
•✅ ASCENDING: SMALLEST TO LARGEST
•✅ DESCENDING: LARGEST TO SMALLEST
•EXAMPLE:ASCENDING: –3, –1, 0, +2

14. ABSOLUTE VALUE
•✅ ABSOLUTE VALUE MEANS DISTANCE
FROM ZERO.
•✅ ALWAYS POSITIVE.
•EXAMPLES:|–5| = 5|+5| = 5

15. PROPERTIES OF ADDITION
•✅ CLOSURE PROPERTY: A + B IS AN INTEGER.
•✅ COMMUTATIVE: A + B = B + A
•✅ ASSOCIATIVE: (A+B)+C = A+(B+C)
•✅ ADDITIVE IDENTITY: A+0 = A

16. PROPERTIES OF SUBTRACTION
•❌ SUBTRACTION IS NOT COMMUTATIVE
•❌ SUBTRACTION IS NOT ASSOCIATIVE
EXAMPLE : 5–3 ≠ 3–5

17. PROPERTIES OF MULTIPLICATION
•✅ CLOSURE: A × B IS AN INTEGER.
•✅ COMMUTATIVE: A × B = B × A
•✅ ASSOCIATIVE: (A×B)×C = A×(B×C)
•✅ MULTIPLICATIVE IDENTITY: A×1 = A
•✅ DISTRIBUTIVE OVER ADDITION:A×(B+C) =

18. PROPERTIES OF DIVISION
•❌ DIVISION IS NOT COMMUTATIVE
•❌ DIVISION IS NOT ASSOCIATIVE
•❌ DIVISION BY 0 IS NOT DEFINED

19. RULES OF ADDITION
•✅ SAME SIGNS: ADD, KEEP SIGN
•✅ DIFFERENT SIGNS: SUBTRACT, KEEP
SIGN OF BIGGER NUMBER
•EXAMPLE:–3 + –2 = –5+4 + –2 = +2

20. RULES OF SUBTRACTION
•CONVERT SUBTRACTION TO ADDITION
OF OPPOSITE.
•EXAMPLE:5–(–3) = 5 +3 =8

21. RULES OF MULTIPLICATION
•✅ (+)×(+) = +
•✅ (–)×(–) = +
•✅ (+)×(–) = –
•EXAMPLE:–2×–3=+6

22. RULES OF DIVISION
•✅ (+)÷(+) = +
•✅ (–)÷(–) = +
•✅ (+)÷(–) = –

23. PRACTICE QUESTIONS
•✅ COMPARE: –4 AND +2
•✅ FIND: |–9|
•✅ ARRANGE: –3,0,+2 IN ASCENDING ORDER
•✅ SOLVE: –5×–3

24. VIDEO