Complete the table. a. 1245 kg _ 1.245×10 6 g _ 1.245×10 9 mg

Hi everyone today, we have a question asking us to use scientific notation and write the following measurements without prefix multipliers. 2.5 kg. So we have to remember that one kg Equals 10 to the 3rd g. And now we can put this in an equation. So we have 2.5 kg. We're going to multiply that by 10 to 3rd g over one kg. And our kg will cancel out here, leaving us with g and that's going to equal 2500. Now we want to put it into scientific notation, so we're going to take our decimal .1 2 3 places to the left, Which makes it 2.5 times cubed. And that is our answer. Thank you for watching. Bye.

Ch.1 - Matter, Measurement & Problem Solving

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Tro 5th Edition

Ch.1 - Matter, Measurement & Problem Solving

Problem 59a

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Chapter 1, Problem 59a

Complete the table. a. 1245 kg _ 1.245×10⁶ g _ 1.245×10⁹ mg

Verified step by step guidance

Step 1: Understand the problem. You need to convert the given mass in kilograms (kg) to grams (g) and milligrams (mg).

Step 2: Recall the conversion factors. 1 kg = 1000 g and 1 g = 1000 mg.

Step 3: Convert kilograms to grams. Multiply the mass in kilograms by 1000 to get the mass in grams.

Step 4: Convert grams to milligrams. Multiply the mass in grams by 1000 to get the mass in milligrams.

Step 5: Verify your conversions by checking if the units cancel out correctly and ensure the final units are in grams and milligrams.

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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. In chemistry, this often involves converting between mass units such as kilograms, grams, and milligrams. Understanding the relationships between these units is essential, as 1 kg equals 1000 g and 1 g equals 1000 mg, allowing for accurate conversions.

Scientific Notation

Scientific notation is a way of expressing very large or very small numbers in a compact form, using powers of ten. For example, 1.245 * 10^6 represents 1,245,000. This notation simplifies calculations and comparisons, especially in chemistry where quantities can vary significantly in scale.

Significant Figures

Significant figures are the digits in a number that contribute to its precision. In scientific measurements, it is important to report results with the correct number of significant figures to reflect the accuracy of the measurement. This concept is crucial when performing calculations involving conversions, as it ensures that the final answer is not misleading.

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