- 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