why is one and two hundredths meters is the same as one metre and two centimetres

a centimeter is a hundredth of a meter.

.01 m=one hundredth of a meter=1cm

IDK(I don't know)

To understand why one and two hundredths meters is the same as one meter and two centimeters, we need to understand the metric system and its units of measurement.

In the metric system, the base unit for measuring length is the meter. The meter is divided into smaller units, such as centimeters (cm). There are 100 centimeters in one meter.

Now, let's break down one and two hundredths meters step by step:

1. The "one" represents one whole meter. This means we have one complete unit of the base unit of measurement, which is the meter.

2. The "two hundredths" represents the fractional part of a meter. Since there are 100 units (centimeters) in one meter, each unit is equal to one hundredth of a meter. Therefore, "two hundredths" refers to two units that are each one hundredth of a meter.

To convert these two hundredths of a meter into centimeters, we need to multiply them by the conversion factor of 100 centimeters per meter. Doing this calculation, we find that two hundredths of a meter is equal to two centimeters.

So, one and two hundredths meters can be expressed as one meter (the whole unit) and two centimeters (the fractional part), since two centimeters are equivalent to two hundredths of a meter.

In this way, we can see that one and two hundredths meters is the same as one meter and two centimeters.