Question

Find the approximate value of $(4.01{)}^3$.

Answer 1

$(4.01{)}^3$

$\Rightarrow$$(4+0.01{)}^3$

$\Rightarrow$$4^3+3\left(4{)}^2\right(0.01)+3(4\left)\right(0.01{)}^2+(0.01{)}^3$

$\Rightarrow$$64+0.48+0.0012+0.000001=64.481201\sim 64$