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Showing posts from November, 2016

HCF and LCM

HCF means Highest Common Factor: HCF of two or more numbers is the greatest number that divides each of them exactly. We are going to practice question like first simple, little bit tuff and more tuff. Tuff means the question takes more time for calculation that’s it ok. I will give some tips for quicker calculation methods also. Ex. 1 Find the HCF of 42 and 70             42 = 2x3x7             70 = 2x5x7  HCF = 2x7=14                         Quicker method             70 - 42 =28             42 -28=14             28-14=14         ...

CUBE

Cubes of large numbers are rarely used. Here we are going to practice two-digit number.. First we have remember the cubes up to 10 1 3   = 1               2 3 = 8                3 3 = 27              4 3 = 64              5 3 = 125                                    6 3 = 216            7 3 = 343            8 3 = 512            9 3 = 729      ...

SQUARING

Squaring is intimately connected with a procedure known as the Duplex Combination process. Example: Duplex of 2 is 2 2 =4 If you want to know Ex: 3 4 2 Step I          : 3 2 / 2( 3 x 4 ) / 4 2 Step II         :9 / 24 / 16  Answer       :11/ 2 5/ 1 6 =>1156 Ex: 3 4 6 Step I          : 3 2 / 2( 3 X 4 ) / 2( 3 X 6 ) + 4 2 / 2( 4 X 6 ) / 6 2 Step II         :  9 / 24             /          52      /48     /36 Answer       : 11 / 2 9 /                     5 7  ...

MULTIPLICATION

I suggest you to remember the tables up to 9 because it saves some valuable time during calculation. Let us look at the case of multiplication by a number more than 10 5892 X 11 05892 X 11 STEP I    :(2 X 1)                  = 2 STEP II   :(9 X 1)+2             = 1 12 STEP III :(8 X 1)+9+1        = 1 812    STEP IV :(5 X 1)+8+1        = 1 4812 STEP V  :(0 X 1)+5+1        =64812 5324 X  12 05324 X 12 STEP I    :(4X 2)                   =8 STEP II   :(2 X 2)+4             =88 STEP III :(3 X 2)+2...