Express the following in standard form: Express 2 years in second… - Vidyadip

Question

Express the following in standard form: Express $2$ years in seconds.

✓

Answer

Given,
$2$ year $= 2 \times 365$ days [$\because$
$1$ yr $= 365$ days approx.)
$= 2 \times 365 \times 24h$ [$\because$ 1 day = 24h]
$= 2 \times 365 \times 24 \times 60$ min [$\because$ 1 h = 60 min]
$= 2 \times 365 \times 24 \times 60 \times 60s$ [$\because 1$ min $= 60 s)$
$= 63072000s$
Standard form of $63072000$
$= 63072 \times 10 \times 10 \times 10$
$= 63072 \times 10^3$ [$\because$
$a^m\times a^n= (a)^{m+n}$]
$= 63072 \times 10^3\times 10^4$
$= 63072 \times 10^7s$

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