Fractions and Decimals 999.99 + 25.012 = ? - 174.469 116 56 14 215 116 56 14 215 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = (999.99)/25.012 + 174.469 = (1000/25) + 174.469= (40 + 174.469) = 214.469 = 215
Fractions and Decimals (.356 x .365 - 2 x .365 x .106 + .106 x .106) / (.632 x .632 + 2 x .632 x .368 +.368 x .368) = ? 6.25 62.5 .625 .0625 6.25 62.5 .625 .0625 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given expression = [(.356)² -2 x .356 x .106 + (.106)²] / [(.632)²+2 x .632 x .368 +(.368)²]= (a² -2ab + b²) / (c²+2cd+d²)= (a - b)² / (c + d)²= (.356 -.106)² / (.632 + .368)²= (.25)² = .0625
Fractions and Decimals (0.29)2 - (0.01)2/0.3 = ? 0.32 0.34 0.30 0.28 0.32 0.34 0.30 0.28 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP a² - b² = (a + b)(a - b)Hence,(0.29)² - (0.01)²/0.3 = (0.29 + 0.01)(0.29 - 0.01)/0.3= (0.3 x 0.28)/0.3 = 0.28
Fractions and Decimals If 1.5x = 0.04y, then the value of ( (y - x) / (y+x) ) is : 71/74 65/67 61/63 73/77 71/74 65/67 61/63 73/77 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x / y = 0.04 / 1.5 = 4 / 150 = 2 / 75.= > ( (y - x) / (y+x) ) = (1 - (x / y)) / ( 1 + ( x / y)) = (1 - 2/75) / (1 + 2/75) = 73/77.
Fractions and Decimals (.125 + .027) / (.5 x .5 - 1.5 + .09) = ? 0.8 8 800 80 0.8 8 800 80 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given expression = [(0.5)³ + (0.3)³] / [(0.5)² - 0.5 x 0.3 + (0.3)²]= [a³ + b³] / [a² - ab + b²]=[(a + b)(a² - ab + b²)]/ [a² -ab + b²]= a+b = 0.5 + 0.3 = 0.8
Fractions and Decimals If √0.05 x 0.5 x a = 0.5 x 0.05 x √b, then a/b = ? .0025 .025 25 .00025 .0025 .025 25 .00025 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given expression = √0.5 x .5 x a = .5 x .05 x √ b⇒ √.025 x a = 0.25 x ⇒ b⇒ 0.025a = 0.25 x .025 x b∴ a/b = (.025 x .025) /.025 = .025
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