The value of $1.6÷1.6\text{ of }1.6+0.6\text{ of }1.4÷0.5-0.001\times 1.5÷0.075$ lies between:

Let's apply the BODMAS rule to solve the expression step-by-step:Expression: $1.6÷(1.6\text{ of }1.6)+(0.6\text{ of }1.4)÷0.5-0.001\times 1.5÷0.075$ Evaluate "of" operations:
$$1.6\text{ of }1.6=1.6\times 1.6=2.56$$
$$0.6\text{ of }1.4=0.6\times 1.4=0.84$$
Now the expression is:
$$1.6÷2.56+0.84÷0.5-0.001\times 1.5÷0.075$$
Perform division operations:
$$1.6÷2.56=\frac{1.6}{2.56}=\frac{160}{256}=\frac{5}{8}=0.625$$
$$0.84÷0.5=1.68$$
$$1.5÷0.075=20$$
Substitute back:
$$0.625+1.68-0.001\times 20$$
Perform multiplication:
$$0.001\times 20=0.02$$
Final addition and subtraction:
$$0.625+1.68-0.02=2.305-0.02=2.285$$
The value $2.285$ lies between $2.2$ and $2.4$.