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Fractions and Decimals

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

45.388
0.45388
4.5388
0.045388

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
( .009 / ?) = .01

0.009
0.09
9
0.9

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let .009 / x = .01;   Then x = .009 / .01=.9 / 1= .9

Fractions and Decimals
Two times of the third of three consecutive even integers is three times of the first. Then the second integer is

10
1
7
4

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the consecutive three integers be X, X + 2 and X + 4Then, 2(X + 4) = 3XX = 8Now X + 2 = 10The required second integer is 10

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

0.004096
4.096
0.04096
0.4096

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
(44.99)² - (15.01)² = ?

1500
1800
700
1100

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

a² - b² = (a + b)(a - b)Hence, (44.99)² - (15.01)² = (44.99 + 15.01)(44.99 - 15.01)= 60 x 29.98 = 60 x 30 = 1800

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:

0.04
0.00004
0.004
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

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