Arithmatical - Decimal Fraction

DIRECTIONS : Problems based on Decimal Fraction.
11. The value of (0.137+0.098)²-(0.137 - 0.098)² / 0.137×0.098 is
  A.  0.039
  B.  0.235
  C.  0.25
  D.  4
Solution
Given expression = (a+b)² - (a-b)²/ab
= 4ab/ab
= 4.
12. (7.5×7.5+3.75+2.5×2.5) is equal to
  A.  30
  B.  60
  C.  80
  D.  100
Solution
Given expression= (7.5x7.5+2×7.5×2.5+2.5×2.5)²
= (a²+2ab+b²)
=(a+b)²
= (7.5+2.5)²
= 10²
= 100.

13. The value of 3.6x0.48x2.50 / 0.12x0.09x0.5 is
  A.  80
  B.  800
  C.  8000
  D.  80000
Solution
Therefore=3.6x0.48x2.50/0.12x0.09x0.5
= 36x48x250/12x9x5
= 800.
14. Given that 268x74= 19832, find the value of 2.68x.74.
  A.  1.9832
  B.  1.0025
  C.  1.5693
  D.  1.0266
Solution
Sum of decimals places =(2+2)
= 4.
Therefore, = 2.68×.74
= 1.9832.
15. Given that 268x74= 19832, find the value of 2.68x.74.
  A.  1.9832
  B.  1.0025
  C.  1.5693
  D.  1.0266
Solution
Sum of decimals places =(2+2)
= 4.
Therefore, = 2.68×.74
= 1.9832.
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