Final answer:
A screw measuring 3-7/10 inches long is written as 3.7 inches using decimals. Converting fractions to decimals is essential for accurate measurement and comparison in various fields such as engineering.
Step-by-step explanation:
A screw that is 3-7/10 inches long can be written in decimal form as 3.7 inches. When working with decimals, it is important to understand that each place value represents a power of ten. For instance, the number 7 in the tenths place is seven tenths, which can be written as 0.7 when added to the whole number 3. The concept of converting fractions to decimals is often used in measurement, particularly when the measurements are not in perfect whole inches but instead involve smaller units or segments. In the context of mathematics, such conversions are fundamental as they allow for easy comparison and calculation.
Using a ruler, the inch can be divided into smaller segments, such as 1/4", 1/2", or 3/4". When objects measure to a fraction of an inch, it is common to convert this measurement to a decimal to make it more comprehensible and comparable. In practice, this is extremely relevant, for example, when a manufacturer produces screws with precise dimensions and needs to ensure these dimensions are communicated and understood accurately. Precision in measurement is crucial in many fields, including engineering and construction.