Decimal Fractions, General Mathematics

Question: The value of `(3.75 xx 3.75 - 2 xx 3.75 + 2.75 xx 2.75)` is :
A
`1`

B
`1.75`

C
`4.75`

D
`6.50`

Note: Given Exp : `= (3.75)^2 - 2 xx 3.75 xx 2.75 + (2.75)^2` `=(a^2 - 2ab + b^2)` `= (a-b)^2` `= (3.75 - 2.75)^2` `= 1^2` `= 1`.
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Question: Expression `(11.98 xx 11.98 + 11.98 xx x + .02 xx .02)`will be perfect square for equal to :
A
` .02`

B
` .2`

C
` .04`

D
` 0.4`

Note: Given Exp : `= (11.98)^2 + (.02)^2 + 11.98 xx x` For the given expession to be a perfect square , we must have `11.98 xx x` `= 2 xx 11.98 xx .02` 0r x`=.04`
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Question: The value of ` (2.75 xx 2.75 xx 2.75 -2.25 xx 2.25 xx 2.25)/(2.75 xx 2.75 + 2.75 xx 2.25 + 2.25 + 2.25)` is :
A
`0.30`

B
`0.50`

C
` 3`

D
`5`

Note: Given Exp : `((2.75)^3 - (2.25)^3)/((2.75)^2 + 2.75 xx 2.75 + ( 2.25)^2)` `= ((a^3 - b^3)/(a^2 + ab + b^2))` `= (a - b)` `= (2.75 - 2.25)` `= 0.50`
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Question: The value of `(8.94 xx 8.94 + 8.94 xx 3.56 xx 3.56)/(8.94 xx 8.94 + 8.94 xx 3.56 + 3.56 xx 3.56)` is :
A
`.538`

B
`5.38`

C
`.0538`

D
`53.8`

Note: Given Exp : `((8.94)^3 - (3.65)^3)/((8.94)^2 + 8.94 xx 3.56 + (3.56)^2)` `=((a^3 -b^3)/(a^2 + ab + b^2))` `= (a - b)` `= (8.94 - 3.56)` `= 5.38`
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Question: The value of` ((0.0347)^3 + (0.9653)^3)/((0.0347)^2 - 0.0347 xx 0.9653 + (0.9653)^2)`is :
A
` 1`

B
`10`

C
` 30`

D
`None

Note: Given Exp : `=((a^3 + b^3)/(a^2 - ab + b^2))` `=(a + b)` `=(0.0347) + 0.9653)` `=1`
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Question: The value of `((2.3)^3 + .027)/((2.3)^2 - .69 + .09)`is :
A
`2.6`

B
`2`

C
`2.33`

D
`2.27`

Note: Given Exp : `=((2.3)^3 + (0.3)^3)/((2.3)^2 - 2.3 xx 0.3 + (0.3)^2)` `=((a^3 + b^3)/(a^2-ab + b^2))` `=(a + b)` `=(2.3 + 0.3)` `=2.6`
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Question: The value of `((0.06)^2 + (0.47)^2 + (0.079)^2)/((0.006)^2 + (0.047)^2 + (0.0079)^2)` is :
A
`0.1`

B
`10`

C
`100`

D
`1000`

Note: Given Exp : `=(a^2 + b^2 + c^2)/((a/10)^2 + (b/10)^2 + (c/10)^2)` `=(100(a^2 + b^2 + c^2))/((a^2 +b^2 + c^2))` `=100`
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Question: The value of `((.953 xx .953 - .953 xx .047 + .047 xx .047)/(.953 xx .953 xx .953 + .047 xx .047 xx .047))`is :
A
`.886`

B
`1.1286`

C
`.32`

D
None

Note: Given Exp : `((.953)^2 - (.953 xx .047) +(.047)^2)/((.953)^3 + (.047)^3)` `=((a^2 - ab + b^2)/(a^3 +b^3))` `=1/(a+b)` `=1/(.953 + .047)` `=1`
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Question: The value of `((8.6 xx 5.3 + 8.6 xx 4.7)/(4.3 xx 9.7 - 4.3 xx 8.7))` is :
A
`13.9`

B
`3.3`

C
`6.847`

D
`20`

Note: Given Exp. `= (8.6 xx (5.3 + 4.7))/(4.3 xx (9.7 - 8.7)` `= (8.6 xx 10)/(4.3 xx 1)` `= 20`.
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Question: The value of `((.896 xx .763 + .896 xx .237)/(.7 xx .064 + .7 xx .96))` is :
A
`.976`

B
`9.76`

C
`12.8`

D
`1.28`

Note: Given Exp , `(.896 xx (.763 + .237))/(.7 xx (.064 + .936)` `= (.896 xx 1)/(.7 xx 1)` `= 8.96/7` `= 1.28`.
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Question: The value of `(3.75 xx 3.75 - 2 xx 3.75 + 2.75 xx 2.75)` is :

Question: Expression `(11.98 xx 11.98 + 11.98 xx x + .02 xx .02)`will be perfect square for equal to :

Question: The value of ` (2.75 xx 2.75 xx 2.75 -2.25 xx 2.25 xx 2.25)/(2.75 xx 2.75 + 2.75 xx 2.25 + 2.25 + 2.25)` is :

Question: The value of `(8.94 xx 8.94 + 8.94 xx 3.56 xx 3.56)/(8.94 xx 8.94 + 8.94 xx 3.56 + 3.56 xx 3.56)` is :

Question: The value of` ((0.0347)^3 + (0.9653)^3)/((0.0347)^2 - 0.0347 xx 0.9653 + (0.9653)^2)`is :

Question: The value of `((2.3)^3 + .027)/((2.3)^2 - .69 + .09)`is :

Question: The value of `((0.06)^2 + (0.47)^2 + (0.079)^2)/((0.006)^2 + (0.047)^2 + (0.0079)^2)` is :

Question: The value of `((.953 xx .953 - .953 xx .047 + .047 xx .047)/(.953 xx .953 xx .953 + .047 xx .047 xx .047))`is :

Question: The value of `((8.6 xx 5.3 + 8.6 xx 4.7)/(4.3 xx 9.7 - 4.3 xx 8.7))` is :

Question: The value of `((.896 xx .763 + .896 xx .237)/(.7 xx .064 + .7 xx .96))` is :