Answer
a) $186.3+0.003=186.303$
b) $186.3-0.003=186.297$
c) $186.3\times0.003=0.56$
d) $186.3/0.003=62000$
e) Percent error =
case a, $\frac{0.003}{186.303}\times100=0.0016$%
case b, $\frac{0.003}{186.297}\times100=0.0016$%
case c, ignoring 0.003 causes us to multiply by zero and get a zero result, for case d, ignoring 0.003 causes us to divide by zero.
f) We can neglect small values when they are added to or subtracted from sufficiently large values.
Work Step by Step
a) $186.3+0.003=186.303$
b) $186.3-0.003=186.297$
c) $186.3\times0.003=0.56$
d) $186.3/0.003=62000$
e) Percent error =
case a, $\frac{0.003}{186.303}\times100=0.0016$%
case b, $\frac{0.003}{186.297}\times100=0.0016$%
case c, ignoring 0.003 causes us to multiply by zero and get a zero result, for case d, ignoring 0.003 causes us to divide by zero.
f) We can neglect small values when they are added to or subtracted from sufficiently large values.
