Question

How many meters in 6cm?

Answer 1

Hint: We use the conversion from meters to centimeters. Use a unitary method and calculate the value of distance in meters by multiplying the same quantity to unit conversion.
Since we know 1 meter has 100 cm, then dividing both units by 100 we can write:
One centimeter has 0.01 meters.
Unitary method helps us to calculate the value of multiple units by multiplying the value of a single unit to the number of units given.

Complete step by step solution:
We have to convert 6centimeters into meters.
Since both centimeters and meters are used in measuring distances i.e. they are units for distance we can convert one from another.
A centimeter is written using the symbol ‘cm’ and meters are written using the symbol ‘m’.
Since we know 1cm \[ = 0.01m\]
Then use unitary method and multiply both sides of the equation by 6
\[ \Rightarrow 1 \times 6cm\] \[ = 0.01 \times 6m\]
Calculate the products on both sides of the equation
\[ \Rightarrow 6cm\] \[ = 0.06m\]
\[\therefore \]There are 0.06 meters in 6 centimeters.

Additional Information:
Meters and centimeters are both units of distance. Whenever we measure distances, we use units like centimeters, meters, kilometers etc. Students should learn the conversion from basic units to another.
• 1 meter has 100 centimeters
• 1 Kilometer has 1000 meters
• 1 centimeter has 10 millimeters
• 1 inch has 2.54 centimeters

Note: Many students make the mistake of writing the value of distance in fraction form as they end up converting 0.06 into fraction by dividing 6 by 100 and cancel common terms. Keep in mind it is always easier to calculate the distance when not in fraction form as it is easier to make comparison.