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

1.02 meters = 1 meter and 2/100 cm.

One meter is equal to 100 centimeters. Since there are 100 centimeters in one meter, two centimeters is equal to 0.02 meters (2/100), or two hundredths of a meter.

Therefore, when you add one meter (1) to two centimeters (0.02), you get a total length of one meter and two centimeters, or 1.02 meters.

To understand why one and two hundredths meters is the same as one meter and two centimeters, we need to understand the relationship between meters and centimeters.

A meter is a unit of length in the metric system, and it is equal to 100 centimeters. This means that one meter can be divided into 100 equal parts, each of which is one centimeter.

Now, let's break down the value "one and two hundredths meters" into meters and centimeters:

- The "one" before the decimal point represents one whole meter.
- The "two hundredths" after the decimal point represents two centimeters, because there are 100 equal parts in one meter, and each part represents one hundredth of a meter, which is equivalent to one centimeter.

Therefore, when we combine one whole meter and two centimeters together, we get a total length of one meter and two centimeters.

In summary, one and two hundredths meters is the same as one meter and two centimeters because there are 100 centimeters in one meter.