Tag: non-terminating recurring decimals in rational numbers

Zeroes placed between other digits are always significant.
$\therefore  3.005$ has $4$ significant digits.

$5.16\times 10^8$
There are $3$ significant figures. When a number is  written in scientific notation, only significant figures are placed into the numerical portion.

All zeroes which are both to the right of the decimal point and to the right of all non-zero significant digits are themselves significant.
$\therefore  16.000$ has $5$ significant digits

Non-zero digits are always significant.

$\therefore  23.4$ has $3$ significant digits.

On dividing 7 by 11, we get 0.6363636363.... .

Zeroes placed before other digits are not significant.
$\therefore  0.07$ has $1$ significant digit.

Zeroes placed before other digits are not significant.
$\therefore  0.0016$  has $2$ significant digits.

All zeroes which  are both to the right of the decimal point and to the right of all non-zero significant digits  are themselves significant.
$\therefore  805.060$ has $6$ significant digits

$Let\quad x=.555....\ On\quad multiplying\quad by\quad 10\quad on\quad both\quad sides\quad \ 10x=5.555....\ On\quad subtracting\quad both\quad equations\quad \ 9x=5\ x=\dfrac { 5 }{ 9 } \ $