Fractions and Decimals The value of [0.1 x 0.1 x 0.1 + 0.02 x 0.02 x 0.02] / [0.2 x 0.2 x 0.2 + 0.04 x 0.04 x 0.04] is: 1.25 0.125 12.5 125 1.25 0.125 12.5 125 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given expression=[(0.1)³ + (0.02)³] / 2³ [(0.1)³ + (0.02)³]=1/8= 0.125
Fractions and Decimals (0.16)² - (0.12)² = ? 11.2 1.12 0.0112 .112 11.2 1.12 0.0112 .112 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = a² - b² = (a + b)(a - b)Hence, (0.16)² - (0.12)²= (0.16 + 0.12)(0.16 - 0.12)= 0.28 x 0.04 = 0.0112
Fractions and Decimals (3.65 x 3.65 + 2.35 x 2.35 - 2 x 2.35 x 3.65) / 1.69 = ? 2 4 1 3 2 4 1 3 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given expression=[(3.65)² + (2.35)² -2 x 3.65 x 2.35 ] / 1.69=a² + b² - 2ab / 1.69, Where a = 3.65 and b = 2.35=(a - b)² / 1.69 = (3.65 - 2.35)² / 1.69 = (1.3)² / 1.69 = 1.69 / 1.69 = 1
Fractions and Decimals (.58 x .58 x .58 - .42 x .42 x .42 - 3 x .58 x .42 x .16) = ? 4.096 0.004096 0.4096 0.04096 4.096 0.004096 0.4096 0.04096 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given Expression = (.53)³ - (.42)³- 3 x .58 x .42 x (.58-.42)= a³-b³ -3ab(a - b) = (a - b)³(where a = .58 and b=.42)= (.58 - .42 )³ = .16 x .16 x .16 = 0.004096
Fractions and Decimals [(0.05)² + (0.41)² +(0.073)²] / [(0.005)² + (0.041)² + (0.0073)²] = ? 100000 1000 100 10000 100000 1000 100 10000 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given expression = [(0.05)² + (0.41)² +(0.073)²] / [(0.005)² + (0.041)² + (0.0073)²] Which is in form of [(a² + b² + c²)] /[ (a/10)² + (b/10)² + (c/10)²] = 100 x (a² + b² + c²) / (a²+b²+c²) = 100
Fractions and Decimals 6 x 0.6 x 0.06 x 0.006 x 60 = ? 0.7776 7.776 0.07776 77.76 0.7776 7.776 0.07776 77.76 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = 6 x 6/10 x 6/100 x 6/1000 x 60 = 77760/1000000 = 7776/100000 = 0.07776
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