Question

Expand: 3.092

• A. $3\times 1+9\times \frac{1}{10}+2\times \frac{1}{100}$
• B. $3\times 1+9\times \frac{1}{100}+2\times \frac{1}{1000}$
• C. $3\times 1+9\times 1+2\times \frac{1}{10}$
• D. $3\times 1+9\times \frac{1}{1000}+2\times \frac{1}{10000}$

Answer 1

The correct option is B

$3\times 1+9\times \frac{1}{100}+2\times \frac{1}{1000}$

The decimal expansion of a number is its representation in base 10, each "decimal place" consists of a digit 0-9 arranged such that each digit is multiplied by a power of 10, decreasing from left to right, and with a decimal place indicating the ${10}^0=1$s place.
$3.092=3+\frac{0}{10}+\frac{9}{100}+\frac{2}{1000}=3\times 1+9\times \frac{1}{100}+2\times \frac{1}{1000}$