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Fractions and Decimals

Fractions and Decimals
[( 3.242 x 14 ) / 100] = ?

45.388
4.5388
0.045388
0.45388

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Multiplying 3.242 x 14=4.5388Now divide 4.5388 by 100So, 4.5388 ÷ 100= 0.045388∴ Shift the decimal two places to the left as 100

Fractions and Decimals
(0.16)² - (0.12)² = ?

11.2
.112
0.0112
1.12

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
The expression (11.98 x 11.98 + 11.98 x x + 0.02 x 0.02) will be a perfect square for x equal to:

0.00004
0.004
0.04
0.0004

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = (11.98)² + (0.02)² + 11.98 x x.For the given expression to be a perfect square, we must have11.98 x x = 2 x 11.98 x 0.02 or x   = 0.04

Fractions and Decimals
If 12276 / 155 = 79.2 the value of 122.76 / 15.5 is ?

7.92
79.2
0.792
792

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

122.76 / 15.50 = 12276/1550= (12276 / 155) x (1/10) = 79.2 / 10 = 7.92

Fractions and Decimals
(.58 x .58 x .58 - .42 x .42 x .42 - 3 x .58 x .42 x .16) = ?

4.096
0.4096
0.04096
0.004096

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
9.99 x 9.9 x 9 ÷ 9.9 ÷ 0.3 = ?

3.33
1.11
2.22
4.44

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = (9.99 x 9.9 x 9)/(9.9 x 0.9 x 0.3) = 3.33

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