Question

Express 419 cm as meters using decimals.

Answer 1

Hint: Meter is a measurement of length. There are 100 centimeters in a meter. 1 meter=100cm, using this convert 419 cm into meters and convert the result into decimals.

Complete step-by-step answer:
A kilometer (km), meter (m), and centimeter (cm) are the commonly used units of length. Any of these measurements can be converted to other measurements using formulas. Additionally, in the customary system (followed in the United States) inches, feet, yards, and miles are used as the unit for length. We can measure how long things are, or how tall, or how far apart they are using the measurements of length.

We are given a length 419 cm and we have to convert it to meters using decimals.
We know that 1 meter has 100 centimeters in it.
2 meters has 200 centimeters in it.
In the same way, $ 1m = 100cm \to 1cm = \dfrac{1}{{100}}m $
1 centimeter is one hundredth of one meter.
We need to find how many meters is 419 cm.
 $
  1cm = \dfrac{1}{{100}}m \\
  419cm = ? \\
  419cm = 419 \times \dfrac{1}{{100}}m \\
   = \dfrac{{419}}{{100}}m \\
  $
In decimals, $ \dfrac{1}{{100}} = 0.01 $
Convert 419 cm into decimal meters.
 $
  \dfrac{1}{{100}} = 0.01 \\
  \dfrac{{419}}{{100}} = 419 \times \dfrac{1}{{100}} = 419 \times 0.01 = 4.19 \\
  $
Therefore, $ \dfrac{{419}}{{100}} $ m is equal to 4.19m in decimals.
419cm is 4.19 meters in decimal meters.

Note: Decimal number can be defined as a number whose whole number part and the fractional part is separated by a decimal point. The dot in a decimal number is called a decimal point. The digits following the decimal point show a value smaller than one. If the whole number part is 0 in a decimal, then the value of the decimal is always less than 1.