  The origin of the weak insulating behavior of the resistivity, i.e.
$\rho_{xx}\propto\ln(1/T)$, revealed when magnetic fields ($H$) suppress
superconductivity in underdoped cuprates has been a longtime mystery.
Surprisingly, the high-field behavior of the resistivity observed recently in
charge- and spin-stripe-ordered La-214 cuprates suggests a metallic, as opposed
to insulating, high-field normal state. Here we report the vanishing of the
Hall coefficient in this field-revealed normal state for all
$T<(2-6)T_{\mathrm{c}}^{0}$, where $T_{\mathrm{c}}^{0}$ is the zero-field
superconducting transition temperature. Our measurements demonstrate that this
is a robust fundamental property of the normal state of cuprates with
intertwined orders, exhibited in the previously unexplored regime of $T$ and
$H$. The behavior of the high-field Hall coefficient is fundamentally different
from that in other cuprates such as YBa$_2$Cu$_3$O$_{6+x}$ and
YBa$_2$Cu$_4$O$_{8}$, and may imply an approximate particle-hole symmetry that
is unique to stripe-ordered cuprates. Our results highlight the important role
of the competing orders in determining the normal state of cuprates.
