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# Basic math akash

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### Basic math akash

1. 1. Project :- Basic MathematicsTo:- Ms. Kavita GokhaleFrom :-Name Roll no .Manish tripathi 37Suhas vanve 38Akash varaiya 39Chirag vasani 40Vijitha das 41Dipesh waghe 42
2. 2. FOUR QUARTERS-+=- --=+++=+ +-=-
3. 3. 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
4. 4.  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
5. 5. Integers NumbersPositive Numbers • +1, +2, +3,+4. every number which is greater than 1 is called positive numbers.
6. 6. Negative Number• -1, -2, -3, -4 every number which is less than 1 is called negative numbers
7. 7. Writing integersExample Written as Read as1) (+55) + (-30) 55+ (-30) Fifty –five plus negative thirty2) (+49) + (+14) 49+(14) Forty-nine plus Or 49+14 fourteen3)(-27) + (-127) (-27) +(-127) Negative twenty-seven plus negative hundred and twenty-seven
8. 8. Multiplication and division of integers• Ex. (1) (-14) X (-5)The magnitudes of -14 and -5 are 14 and 5 respectivelyTheir product, 14X5 = 70(-14) X(-5)=70The product of two negative numbers is positive.
9. 9. Carry out the following multiplications:• 12X(-3)• (-6) X4• (-15)X(-5)• 35X8• (-38)X(-2)• 15X(-61)
10. 10. Carry out the following Divisions: • (-15) / (-5) • (-38/ (-2) • 90/6 • (-90)/(-6)
11. 11. PerCENTAGE You may have come across with news items like the Newspaper , Radio or T.V. We use the word percent often in everyday affairsFor 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.
12. 12. Definition• Percent can be defined as “of one hundred.” of 100
13. 13. Definition• “Cent” comes from the Latin and means 100.
14. 14. Convert percent to number : multiply by 1001. 25%= 25 = 1 100 4
15. 15. Comparing Money & Percents• RS 0.50 is ½ of a rupee• 50% also means ½
16. 16. 20 % Means20 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
17. 17. • 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.
18. 18. • 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.
19. 19. 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%
20. 20. PERCENTAGE OF A GIVEN NUMBERConvert the following fraction into percentage.Find out a given percentage of a given numbers.Example :-1)50% of 70 means 70x50/100 = 352)3% of 25000 mean 25000x3/100 = 7503) There are 40 percent girls in a certain school . If thenumber of children in the school is 950, what is the number ofgirls in the school. 40% of 950 = 950x40/100 = 380 Ans - Number of girls is 380
21. 21. FIND PERCENTAGEFind out what percentage of a given number forms ofanother number.24,50 24/50= 24x2/50x2 = 48/100 = 48%2) 222 , 300 222/300 = 222÷3/300÷3 = 74/100 = 74%
22. 22. 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
23. 23. The EndBibliography : Mathematics Text book (Standard Six )www.wikipedia.co.inwww.slideshare.comhttp://cgl.microsoft.com/clipgallerylive/default.asp