Final answer:
Jason is incorrect as comparing measurements requires both values to be in the same units and proper context. Examples include the comparison of distances in kilometers and millimeters, weights in kilograms and grams, or areas in square meters. Correct unit conversion is essential to determine the larger measurement.
Step-by-step explanation:
Jason is not correct in claiming his measurement is larger because 819 is larger than 85. To accurately compare measurements, we must ensure both numbers are in the right context and measured in the same units. For instance, rewriting a problem for clarity might look like this:
743 km is clearly greater than 74.3 km because the first number has a digit in the hundreds place, while the second number does not. Thus, 743 km is also more than 74,300,000 mm (millimeters).
1000 mm is larger than 20 cm (centimeters) because when you convert mm to cm by dividing by 10, 1000 mm becomes 100 cm, which is still greater than 20 cm.
Similarly, 45 cm is less than 500 mm because both numbers start with the tens digit, but we must consider the actual unit size.
In the case of converting cm to m (meters), 200 cm divided by 100 equals 2 m, making it greater than 1 m. So, anyone with a meter stick could measure 200 cm directly but would need to use the meter stick twice for measuring a length of 2 meters.
As for areas, when comparing two squares, one must compare their areas by squaring their side lengths, no matter the units used. For instance, an area ratio can help determine the relationship between the sizes.
In conclusion, without proper unit conversions and context, the numbers alone cannot determine which measurement is larger. Hence, using perspective along with numerical value is essential when comparing measurements in different units.