In an expression $a \times 10^{\mathrm{b}}$;

In an expression $a \times 10^{\mathrm{b}}$;
  1. $b$ is order of magnitude for $a \geq 5$
  2. $b$ is order of magnitude for $a \leq 5$
  3. $a$ is order of magnitude for $b \leq 5$
  4. $b$ is order of magnitude for $5 < a \leq 10$

Solution

$\begin{aligned} & a \times 10^b \\ & \text { if } a \leq 5 \text { order is } b \\ & a>5 \text { order is } b+1\end{aligned}$

Asked in: JEE Main 2024 (08 Apr Shift 1)

Practice more Mathematical Methods questions on Aicharya