Ch.1 - Matter, Measurement & Problem Solving

Problem 98a

Chapter 1, Problem 98a

Perform each unit conversion. a. 1.4 in to mm

Verified step by step guidance

Step 1: Identify the conversion factor. The conversion factor between inches and millimeters is 1 inch = 25.4 mm.

Step 2: Write down the given value, which is 1.4 inches.

Step 3: Multiply the given value by the conversion factor. This is done by setting up the conversion so that the unit you want to convert from (in this case, inches) will cancel out. So, you should multiply 1.4 inches by 25.4 mm/1 inch.

Step 4: Perform the multiplication. The inches unit will cancel out, leaving you with the result in millimeters.

Step 5: Write down your final answer, making sure to include the correct units (mm).

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Unit Conversion

Unit conversion is the process of converting a quantity expressed in one unit to another unit. This is essential in chemistry and other sciences to ensure that measurements are consistent and comparable. It often involves using conversion factors, which are ratios that express how many of one unit are equal to another unit.

Inches to Millimeters Conversion

Inches and millimeters are both units of length, with inches commonly used in the United States and millimeters in the metric system. The conversion factor between these two units is that 1 inch is equal to 25.4 millimeters. Understanding this conversion factor is crucial for accurately converting measurements from inches to millimeters.

Dimensional Analysis

Dimensional analysis is a mathematical technique used to convert one set of units to another by multiplying by conversion factors. It involves canceling out units to ensure that the final answer is in the desired unit. This method is particularly useful in chemistry for ensuring that calculations involving different units are performed correctly.

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