The document provides an overview of basic mathematics concepts like integers, addition and subtraction rules, percentages, and operations with positive and negative numbers. It also gives examples of calculating discounts, taxes, and percentages of quantities. The document appears to be teaching materials for a mathematics class covering fundamental numerical topics.

2. Project :- Basic Mathematics
To:- Ms. Kavita Gokhale
From :-
Name Roll no .
Manish tripathi 37
Suhas vanve 38
Akash varaiya 39
Chirag vasani 40
Vijitha das 41
Dipesh waghe 42

5. FOUR QUARTERS
-+=- --=+
++=+ +-=-

6. Sign rules
 Adding Sign rules
Positive + Positive = Positive
eg: 5 + 4 = 9
Negative + Negative = Negative
eg: (- 7) + (- 2) = - 9
Sum of a negative and a positive number:
Use the sign of the larger number and
subtract
eg: (- 7) + 4 = -3
6 + (-9) = - 3
(- 3) + 7 = 4
5 + ( -3) = 2

7.  Subtracting Rules:
Negative - Positive = Negative
eg: (- 5) - 3 = -5 + (-3) = -8
Positive - Negative = Positive + Positive =
Positive
eg: 5 - (-3) = 5 + 3 = 8
Negative - Negative = Negative + Positive = Use
the sign of the larger number and
subtract (Change double negatives to a
positive)
eg:(-5) - (-3) = ( -5) + 3 = -2
(-3) - ( -5) = (-3) + 5 = 2

8. Integers Numbers
Positive Numbers
• +1, +2, +3,+4. every number which is
greater than 1 is called positive
numbers.

9. Negative Number
• -1, -2, -3, -4 every number which
is less than 1 is called negative
numbers

10. Writing integers
Example Written as Read as
1) (+55) + (-30) 55+ (-30) Fifty –five plus
negative thirty
2) (+49) + (+14) 49+(14) Forty-nine plus
Or 49+14 fourteen
3)(-27) + (-127) (-27) +(-127) Negative
twenty-seven
plus negative
hundred and
twenty-seven

11. Multiplication and division of
integers
• Ex. (1) (-14) X (-5)
The magnitudes of -14 and -5 are 14 and 5
respectively
Their product, 14X5 = 70
(-14) X(-5)=70
The product of two negative numbers is
positive.

12. Carry out the following
multiplications:
• 12X(-3)
• (-6) X4
• (-15)X(-5)
• 35X8
• (-38)X(-2)
• 15X(-61)

13. Carry out the following Divisions:
• (-15) / (-5)
• (-38/ (-2)
• 90/6
• (-90)/(-6)

14. PerCENTAGE
 You may have come across with news items like
the Newspaper , Radio or T.V.
 We use the word percent often in everyday affairs
For ex.
1)There has been 15per increase in food grain
production.
2)The cost of petrol has rises by 5percent.
 Let us find out the meaning of these words and
learn how they are used.

15. Definition
• Percent can be defined as
“of one hundred.”
of
100

16. Definition
• “Cent” comes from the Latin
and means 100.

17. Convert percent to number : multiply by 100
1. 25%= 25 = 1
100 4

18. Comparing Money &
Percents
• RS 0.50 is ½ of a rupee
• 50% also means ½

19. 20 % Means
20 parts out of 100 or 20 hundredths.
1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30
31 32 33 34 35 36 37 38 39 40
41 42 43 44 45 46 47 48 49 50
51 52 53 54 55 56 57 58 59 60
61 62 63 64 65 66 67 68 69 70
71 72 73 74 75 76 77 78 79 80
81 82 83 84 85 86 87 88 89 90
91 92 93 94 95 96 97 98 99 100

20. • Given:
• Cost price=Rs 60
• discount=25%
• Amount of discount =25% of (60)
= 25 x 60
100
Ans =15.Rs
Price After Discount:-
=Cost price –discount amount
=60 – 15
=Rs 45.Rs
Total cost of shoes is 45 Rs.

21. • Given:
• cost price= Rs 30
• Tax=7%
• Amount of tax=7% of (30)
= 7 x 30
100
Ans =2.10 Rs.
Price after discount=cost price-discount amt
=30 + 2.10
Ans=32.10 Rs.
Total cost of shirt is 32.10 Rs.

22. DECIMAL FRACTION INTO
PERCENTAGE
 Convert the following decimal fraction into percentage.
 Examples :-
1) 0.52 = 52/100 = 52%
2) 0.060 = 6/100 = 6%
3) 0.4 = 0.40 = 40/100 = 40%
4) 1.0 = 1.00 = 100/100 = 100%

23. PERCENTAGE OF A GIVEN
NUMBER
Convert the following fraction into percentage.
Find out a given percentage of a given numbers.
Example :-
1)50% of 70 means 70x50/100 = 35
2)3% of 25000 mean 25000x3/100 = 750
3) There are 40 percent girls in a certain school . If the
number of children in the school is 950, what is the number of
girls in the school.
40% of 950 = 950x40/100 = 380
Ans - Number of girls is 380

24. FIND PERCENTAGE
Find out what percentage of a given number forms of
another number.
24,50
24/50=
24x2/50x2 = 48/100 = 48%
2) 222 , 300
222/300 = 222÷3/300÷3 = 74/100 = 74%

26. E.g. :
= 25 x [ 113 – 9 + 2 x 13 ]
= 25 x [ 113 – 9 + 26 ]
= 25 x [ 104 + 26 ]
= 25 x 130
= 3250
Solve the following ?
1. (130 + 91) x ( 2 + 8 ) = ? Ans. 2210
2. 103 + 91 x 2 + 8 = ? Ans. 293

27. The End
Bibliography : Mathematics Text book
(Standard Six )
www.wikipedia.co.in
www.slideshare.com
http://cgl.microsoft.com/
clipgallerylive/default.asp