# Express the number appearing in the following statements in standard form.$(a)$ The distance between Earth and Moon is $384,000,000\ m$.$(b)$ Speed of light in vacuum is $300,000,000\ m/s$.$(c)$ Diameter of the Earth is $1,27,56,000\ m$.$(d)$ Diameter of the Sun is $1,400,000,000\ m$.$(e)$ In a galaxy there are on an average $100,000,000,000$ stars.$(f)$ The universe is estimated to be about $12,000,000,000$ years old.$(g)$ The distance of the Sun from the centre of the Milky Way Galaxy is estimated to be $300,000,000,000,000,000,000\ m$.$(h)$. $60,230,000,000,000,000,000,000$ molecules are contained in a drop of water weighing $1.8\ gm$.$(i)$. The earth has $1,353,000,000\ cubic\ km$ of sea water.$(j)$. The population of India was about $1,027,000,000$ in March, 2001.

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Given: Statements: $(a)$ The distance between Earth and Moon is $384,000,000\ m$.

$(b)$ Speed of light in vacuum is $300,000,000\ m/s$.

$(c)$ Diameter of the Earth is $1,27,56,000\ m$.

$(d)$ Diameter of the Sun is $1,400,000,000\ m$.

$(e)$ In a galaxy there are on an average $100,000,000,000$ stars.

$(f)$ The universe is estimated to be about $12,000,000,000$ years old.

$(g)$ The distance of the Sun from the center of the Milky Way Galaxy is estimated to be $300,000,000,000,000,000,000\ m$.

$(h)$. $60,230,000,000,000,000,000,000$ molecules are contained in a drop of water weighing $1.8\ gm$.

$(i)$. The earth has $1,353,000,000\ cubic\ km$ of seawater.

$(j)$. The population of India was about $1,027,000,000$ in March 2001.

To do: To express the number appearing in the above statements in standard form.

Solution:
$(a)$. The distance between Earth and Moon $=384,000,000\ m$.

$=384\times100000\ m$

$=3.84\times10000000$

$=3.84\times10^8\ m$

$(b)$. Speed of light in vacuum $=300,000,000\ m/s$.

$=3\times100000000$

$=3\times10^8\ m/s$

$(c)$. Diameter of the Earth $=1,27,56,000\ m$.

$12756\times1000$

$=1.2756\times10^7\ m$

$(d)$. Diameter of the Sun $=1,400,000,000\ m$.

$=14\ \times100000000$

$=1.4\times10^9$

$(e)$. In a galaxy there are stars on an average $=100,000,000,000$

$=1\times100000000000$

$=1\times10^{11}$

$(f)$. The age universe is estimated to be about $=12,000,000,000$ years.

$=12\times1000000000$

$=1.2\times10^{10}$

$(g)$. The distance of the Sun from the center of the Milky Way Galaxy is estimated to be $=300,000,000,000,000,000,000\ m$.

$=3\times100000000000000000000$

$=3\times10^{20}\ m$

$(h)$. The number of molecules contained in a drop of water weighing $1.8\ gm=60,230,000,000,000,000,000,000$.

$=6.023\times10^{22}$

(i) The standard form of the number appearing in the given statement is $1.353 \times 10^9$ cubic km.

$(j)$. The population of India in March 2001 was $=1,027,000,000$
$=1.027\times10^9$
Updated on 10-Oct-2022 13:38:51