KENDRIYA VIDYALAYA NO.2A.F.S JALAHALLI (EAST)

Maths project work

Made by :anjaliRakshitaAnushanikitha

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INTEGERS

INTEGERSWhole numbers: whole numbers are the numbers form 0 to infinite.

Ex : 0,2,3,4,8,9,99,100,156 etc.Natural numbers: nutral numbers are the numbers from 1 to infinite.

Ex :1,5,7,1056,89,174 etc.Integers: integers is the combination of positive and negative numbers.

Ex : -6,-7,-10,1,4,5,-111,143 etc.

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FRACTIONS AND DECIMALSFraction: is that represents a part of whole. Proper fraction: numerator is smaller than denominator.Improper fraction: denominator is smaller than numerator.Mixed fraction: combination of whole number and fractions.

TYPES OF FRACTIONProper

fraction

Improper

fraction

Mixed fractii

on

representing fractionRepresenting Fraction

1 PART(WHOLE)

1/2

1/3

1/4

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REPRESENTING FRACTIONRepresenting Fraction

1 PART(WHOLE)

1/2

1/3

1/4

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REPRESENTING FRACTIONRepresenting Fraction

1 1/2

1 1/3

1 1/4

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ADDITION OF FRACTION 1/2 + 1/2

1/3 + 1/3

1/4 + 1/4

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SUBTRACTION OF FRACTION 1 - 1/2

1 - 1/3

1 - 1/4

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MULTIPLICATION OF FRACTION 1/2 X 1/2

1/3 X 1/3

1/4 X 1/4

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DIVISION OF FRACTION

1 ÷ 1/2

1 ÷ 1/3

1 ÷ 1/4

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POINTS TO REMEMBER WE HAVE LEARNT ABOUT FRACTIONS,

THEIR ADDITION, SUBSTRACTION, MULTIPLICATION & DIVISION.

THE PRODUCT OF TWO PROPER FRACTION IS LESS THAN EACH OF THE FRACTIONS

THE PRODUCT OF ONE PROPER AND ONE IMPROPER FRACTION IS LESS THAN THE IMPROPER FRACTION & GREATER THAN PROPER FRACTION

A RECIPROCAL OF FRACTION IS OBTAINED BY INVERTING IT UPSIDE DOWN

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DECIMALS

representing DECIMALS 0.1 or 1/10

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representing DECIMALS 0.1 X 0.1 (1/10 X 1/10 )= 0.01 or 1/100

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representing DECIMALS 0.2 X 0.3 (2/10 X 3/10) = 0.06 OR 6/100

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MULTIPLICATION OF DECIMALS WHEN A DECIMAL IS MULTIPLIED BY

10,100 OR 1000, THE DIGITS IN THE PRODUCT ARE SAME AS IN THE DECIMAL NUMBER BUT THE DECIMAL POINT IN THE PRODUCT IS SHIFTED TO THE RIGHT BY AS MANY OF PLACES AS THERE ARE ZEROS OVER ONE.

EXAMPLES :- 0.07 X 10 = 0.7 2.97 X 100 = 297 2.38 X 1000 = 2380

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DIVISIONS OF DECIMALS WHILE DIVIDING A NUMBER BY 10, 100

OR 1000 , THE DIGITS OF THE NUMBER AND QUOTIENT ARE SAME BUT THE DECIMAL POINT IN THE QUOTIENT SHIFTS TO THE LEFT BY AS MANY PLACES AS THERE ARE ZEROS OVER 1

EXAMPLES :- 2.38 ÷ 10 = 0.238 2.38 ÷ 100 = 0.0238 2.38 ÷ 1000 = 0.00238

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DIVISIONS OF DECIMALS BY WHOLE NUMBERS 6.4 ÷ 4 = 64 X 1 = 16 = 1.6

10 4 10

12.96 ÷ 4 = 1296 X 1 = 324 = 3.24

100 4 100

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DIVISIONS OF DECIMALS BY WHOLE NUMBERS 6.4 ÷ 4 = 64 X 1 = 16 = 1.6 10 4 10

12.96 ÷ 4 = 1296 X 1 = 324 = 3.24

100 4 100

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DIVISIONS OF DECIMALS BY ANOTHER DECIMAL 6.4 ÷ 1.6 = 64 ÷ 16 = 64 X 10 = 4

10 10 10 16

22.5 ÷ 1.5 = 225 ÷ 15 = 225 X 10 = 15

10 10 10 15

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POINTS TO REMEMBER WHEN A DECIMAL IS MULTIPLIED BY

10,100 OR 1000, THE DIGITS IN THE PRODUCT ARE SAME AS IN THE DECIMAL NUMBER BUT THE DECIMAL POINT IN THE PRODUCT IS SHIFTED TO THE RIGHT BY AS MANY OF PLACES AS THERE ARE ZEROS OVER ONE.

WHILE DIVIDING A NUMBER BY 10, 100 OR 1000 , THE DIGITS OF THE NUMBER AND QUOTIENT ARE SAME BUT THE DECIMAL POINT IN THE QUOTIENT SHIFTS TO THE LEFT BY AS MANY PLACES AS THERE ARE ZEROS OVER 1

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THANK YOU !