Final answer:
Standard notation is a clear expression of a number without using scientific notation. When measuring objects, estimates are made for the least certain digit. For example, a measurement between 1.2 and 1.3 cm can be estimated as 1.25 cm.
Step-by-step explanation:
Understanding measurement and standard notation is essential in mathematics. When you measure an object using a ruler marked in centimeters, you might find that the object's length is not a whole number. For instance, when you measure a rectangle and find its edge between the 1.2 and 1.3 cm marks, you need to estimate the last digit because the ruler does not supply finer detail.
If the edge appears to be halfway between the two marks, you could reasonably estimate the measurement to be 1.25 cm. This method of using estimation for the least certain digit is a common practice in measurements. Similarly, if you had an object that was 23.5 cm long, this would mean that the object is 23 centimeters and 5 millimeters long since the second ruler in Figure 1.24 allows you to measure to the nearest millimeter, which is equivalent to a tenth of a centimeter. When converting measurements, as given in the reference, remember that 1 meter equals 100 centimeters. Thus, 3.55 meters would directly convert to 355 cm by moving the decimal two places to the right, omitting the 1 in the denominator in the final conversion process.
The general approach to measuring lengths with a ruler includes identifying certain digits and then estimating the least certain digits. High-precision rulers marked with millimeters allow for more precise measurements and less uncertainty in the final digit. In this context, regular notation refers to writing the number down exactly as it appears without using scientific notation or any other form of shorthand.