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Compare the following numbers:
(i) \( 2.7 \times 10^{12} ; 1.5 \times 10^{8} \)
(ii) \( 4 \times 10^{14} ; 3 \times 10^{17} \)
Given:
Given numbers are
(i) \( 2.7 \times 10^{12} ; 1.5 \times 10^{8} \) (ii) \( 4 \times 10^{14} ; 3 \times 10^{17} \)
To do:
We have to compare the given numbers.
Solution:
(i) $2.7 \times 10^{12} = 2.7 \times 10^8 \times 10^4$
$=(2.7\times10000)\times10^8$
$=27000\times10^8$
As $27000>1.5$
$27000\times10^8 > 1.5\times10^8$
Therefore,
$2.7 \times 10^{12} > 1.5\times10^8$.
(ii) $3 \times 10^{17} = 3 \times 10^3 \times 10^{14}$
$=(3\times1000)\times10^{14}$
$=3000\times10^{14}$
As $3000>4$
$3000\times10^{14} > 4\times10^{14}$
Therefore,
$3 \times 10^{17} > 4\times10^{14}$.
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