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