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Fractions and Decimals

Fractions and Decimals
3 x 0.3 x 0.03 x 0.003 x 30=?

0.02430
0.002430
0.2430
2.430

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

3 x 3 x 3 x 3 x 30 = 2430 ∴ 3 x 0.3 x 0.03 x 0.003 x 30 = 0.002430 (Six places of decimal

Fractions and Decimals
(.23 - .023) / ( .0023 / 23 ) = ?

207
2770
2077
2070

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression = (.23 - .023) / ( .0023 / 23 ) = .207 / (.0023 / 23) = .207 / .0001=.2070 / .0001 = 2070

Fractions and Decimals
From a rope 30 m long, a person cuts off as many pieces as possible, each 3 1/4 m long. What fraction of the whole will be left ?

1/5
1/3
1/2
1/4

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Length of each piece = 3 1/4 = 13/4 m Maximum pieces that can be cut = 30/(13/4) = 9 ∴ Rope left = 30 - 13/4 x 9 = 120 - 117/4 = 3/4 m∴ Required fraction = 3/4/30 = 1/4 

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

0.0112
11.2
1.12
.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
( .803 x .647 + .803 x .353 ) = ?

803
8.03
.803
80.3

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given Expression = ( .803 x .647 + .803 x .353 )= 803 x (.647 + .353)= .803 x 1 = .803

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

0.45388
45.388
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

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