Question

$\text{Trisha completed the race in 3.86 min.}$
$\text{Write the time taken by Trisha in}$
$\text{the expanded form.}$

• A. $3+\frac{6}{10}$ + $\frac{8}{100}$
• B. $3+\frac{6}{10}$ + $\frac{3}{100}$
• C. $3+\frac{3}{10}$ + $\frac{7}{100}$
• D. $3+\frac{8}{10}$ + $\frac{6}{100}$

Answer 1

The correct option is D $3+\frac{8}{10}$ + $\frac{6}{100}$

$\text{We have to write the expanded form}$ $\text{of 3.86.}$

$\text{Let us first place the digits in place}$ $\text{value table.}$


$\text{We can see that 3 is in ones place,}$$\text{8 is in tenths place, and 6 is in}$ $\text{thousandths place.}$

$\text{1 tenth is written as 0.1 or}\frac{1}{10}\text{in the}$ $\text{expanded form. So, 8 tenths is}$
$\text{equal to 0.8 or}\frac{8}{10}.$

$\text{Similarly, 1 hundredth is written as}$ $\text{0.01 or}\frac{1}{100}\text{in the}$ $\text{expanded form. So, 6 hundredths is}$
$\text{equal to 0.06 or}\frac{6}{100}.$


$\text{Hence, the expanded form of 3.86 is:}$

$3+\frac{8}{10}$ + $\frac{6}{100}.$