`243.92 = 2.4392 × 10`

^{02}

The
exponent shows by what power of
`10`

to multiply the mantissa,
or (the same thing) how far to float the decimal point.

`10`

means move the decimal point ^{+n}`n`

places **right**.

`10`

means move the decimal point ^{-n}`n`

places **left**.

1.82371 | × | 10^{1} | = | 1.82371 | × | 10 | = | 18.2371 | (move the point 1 place right) |

1.82371 | × | 10^{-1} | = | 1.82371 | × | .1 | = | .182371 | (move the point 1 place left) |

1.82371 | × | 10^{2} | = | 1.82371 | × | 100 | = | 182.371 | (move the point 2 places right) |

1.82371 | × | 10^{-2} | = | 1.82371 | × | .01 | = | .0182371 | (move the point 2 places left) |

Write `0.000456`

in scientific notation.