Question

Convert $50.04$ from decimal to fraction, and divide by $10$. The result we get is .

• A. $5.004$
• B. $500.4$
• C. $0.5004$
• D. $5,004$
• E. $0.05004$

Answer 1

The correct option is A $5.004$

Let's first convert $50.04$ from decimal to fraction.

We know $50.04\times 100=5,004$. As division is just the opposite of multiplication, we can write $5,004÷100=50.04$.

Hence,
$50.04÷10$
$=(5,004÷100)÷10$
$($Replcaing $50.04$ by $5,004÷100)$

$=\frac{5,004}{100}÷10$

$=\frac{5,004}{100}÷\frac{10}{1}$

$=\frac{5,004}{100}\times \frac{1}{10}$
$($As division is just the opposite of multiplication$)$

$=\frac{5,004\times 1}{100\times 10}$

$=\frac{5,004}{1,000}$

$=5,004÷1,000$

$=5,004.0÷{10}^3$

$=5.0040$
$($Dividing $5,004.0$ by ${10}^3$ moves the decimal point $3$ units to the left)

$=5.004$