Question

A train travels 598 km in its total 1000 km journey. Which part of the distance (in decimals) is not yet covered by the train?

• A. 0.0402
• B. 0.598
• C. 0.402
• D. 0.0598

Answer 1

The correct option is C 0.402

$\text{Distance covered by the train}=598km$

$\text{Distance to be covered by the train}=1000-598=402km$

$\text{A part of the distance covered by the train out of 1000 km}=\frac{402}{1000}$

Let's convert $\frac{402}{1000}$ into decimal form.

To convert $\frac{402}{10000}$ into a decimal, we have to divide 402 by 1000

$\text{To divide}:\frac{402}{1000}$
$\Rightarrow$ Write the numerator as 402.0

$\Rightarrow$ Denominator have three zero (1000), hence shift the decimal point three place to the left in 402.0 (numerator)

	Thousands	hundreds	ones	.	tenths	hundredths	thousandsths
	4	0	2	.	0
$÷$ 1000			0	.	4	0	2

$\Rightarrow \frac{402}{1000}=\frac{402.0}{1000}=0.402$