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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Updated on: 10-Oct-2022

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