DECIMAL FRACTIONS EXERCISE 3 (SOLUTION 111 TO 119)

111.  Given expression = (.953)² - (.953 x 0.47) +(0.047)²/(.953)³ + (0.47)³

    = (a² -a b + b²/a³ + b³) = 1/a + b = 1/.953 + .047 = 1.

112.  Given expression = (0.5)³ + (0.3)³/ (0.5)² + (0.3)² - (0.5 x 0.3) = (a³ + b³/a² + b² -a b).

   = (a + b) = (0.5 + 0.3) =0.8.

113.  Given expression = (10.3)³ + (1)³/(10.3)² - (10.3 x 1) + (1)² = (7.5)³ + (1)³/(7.5)² - (7.5 x 1) + (1)².

   = (a³ + b³/a² - a b + b²) = (a + b) =(7.5 + 1) = 8.5.

114.  Given expression (2 X 3.75)³ + (1)³/(7.5)² - (7.5 x 1) + (1)²

     = (a³ + b³/a² - a b + b²= (7.5 + 1 = 8.5.

115.  Given expression =(0.1)³ + (0.02)³/(2³ [(0.1)³ + (0.02)³] = 1.8 =0.125.

116.  Given expression = (8.94)³ - (3.56)³ / (8.94 x 3.56 + (3.56)² = (a² - b²/a² + a b + b²)

        = (a-b) = (9.94 – 3.56) = 5.38.

117.  Given expression = (0.96)³ - (0.1)³/(0.96)² + (0.96 x 0.1 ) + (0.1)² = (a³ - b³ /a² + a b  b²)

    =(a-b) = (0.96 – 0.1) =0.86.

118.  Given expression =(2.3)³ - (0.3)³/(2.3)² + (2.3 x 0.3) + (0.3)² = (a³ -b³/a² + a b + b²)

   = (a – b) = (2.3 x 0.3 – 0.3) =2.

119.  Expression = a² + b² + c²/(a/10)² + (b/10)² + (c/10)²

= 100 (a² + b² + c²)/ (a² + b² + c²) = 100.