Convert 6045m into kilometres and metres
A. 6km 45m
B. 60km 45m
C. 6km 450m
D. 645km
Answer
576k+ views
Hint: We need to convert the value 6045 m into kilometres and metres . We start to solve the given question by performing the unit conversions from metres to kilometres by dividing the given value by 1000. Then, we represent the result in kilometres and metres to get the desired result.
Complete step-by-step solution:
We are asked to convert the value 6045 m into kilometres and metres. We will be solving the given question by performing the unit conversions from metres to kilometres.
From mathematics, we know that
$\Rightarrow 1\text{ kilometer = thousand metre}$
We know that a thousand is numerically equal to 1000.
Substituting the same, we get,
$\Rightarrow 1km=1000m$
Dividing the above equation by 1000, we get,
$\Rightarrow \dfrac{1}{1000}km=\dfrac{1000}{1000}m$
Simplifying the above equation, we get,
$\Rightarrow 1m=\dfrac{1}{1000}km$
The value of 6045 m in kilometres can be found as follows,
$\Rightarrow 1m\text{ = }\dfrac{1}{1000}\text{km}$
$\Rightarrow 6045m\text{ = ?}$
We need to cross multiply the above equations to get the value of 6045 m in kilometres.
Cross multiplying to find the value of 6045 m in kilometres, we get,
$\Rightarrow \dfrac{\text{6045 m }\times \text{1 km}}{1000\times 1m}$
Simplifying the above equation, we get,
$\Rightarrow \dfrac{6045}{1000}km$
Evaluating the above expression, we get,
$\Rightarrow 6.045km$
From the concept of units and conversions, we know that the value 6.045 km can be written as 6 km 45 m.
Following the same, we get,
$\Rightarrow 6045m=6km\text{ 45m}$
$\therefore$ Option A holds the correct answer for the given question.
Note: We must avoid making mistakes in terms of calculations and conversion of units to get an accurate result. We have found the value of 6045 m in kilometres using the unitary method. In the unitary method, we always write the things to be calculated on the right-hand side and things known on the left-hand side.
Complete step-by-step solution:
We are asked to convert the value 6045 m into kilometres and metres. We will be solving the given question by performing the unit conversions from metres to kilometres.
From mathematics, we know that
$\Rightarrow 1\text{ kilometer = thousand metre}$
We know that a thousand is numerically equal to 1000.
Substituting the same, we get,
$\Rightarrow 1km=1000m$
Dividing the above equation by 1000, we get,
$\Rightarrow \dfrac{1}{1000}km=\dfrac{1000}{1000}m$
Simplifying the above equation, we get,
$\Rightarrow 1m=\dfrac{1}{1000}km$
The value of 6045 m in kilometres can be found as follows,
$\Rightarrow 1m\text{ = }\dfrac{1}{1000}\text{km}$
$\Rightarrow 6045m\text{ = ?}$
We need to cross multiply the above equations to get the value of 6045 m in kilometres.
Cross multiplying to find the value of 6045 m in kilometres, we get,
$\Rightarrow \dfrac{\text{6045 m }\times \text{1 km}}{1000\times 1m}$
Simplifying the above equation, we get,
$\Rightarrow \dfrac{6045}{1000}km$
Evaluating the above expression, we get,
$\Rightarrow 6.045km$
From the concept of units and conversions, we know that the value 6.045 km can be written as 6 km 45 m.
Following the same, we get,
$\Rightarrow 6045m=6km\text{ 45m}$
$\therefore$ Option A holds the correct answer for the given question.
Note: We must avoid making mistakes in terms of calculations and conversion of units to get an accurate result. We have found the value of 6045 m in kilometres using the unitary method. In the unitary method, we always write the things to be calculated on the right-hand side and things known on the left-hand side.
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