Unit 1 worksheet 2 significant figures answer key – Embark on a journey into the realm of significant figures with Unit 1 Worksheet 2. This comprehensive guide delves into the fundamental concepts, rules, and methods of determining the accuracy and precision of numerical measurements.
Significant figures, the cornerstone of scientific calculations, play a crucial role in ensuring the reliability and validity of experimental data. This worksheet provides a structured approach to understanding and applying the principles of significant figures, empowering you to navigate the intricacies of scientific inquiry with confidence.
Significant Figures
Significant figures are the digits in a number that are known with certainty, plus one uncertain digit. The number of significant figures in a number is determined by the following rules:
- Non-zero digits are always significant.
- Zeros between non-zero digits are significant.
- Zeros at the end of a number are significant only if the number contains a decimal point.
- Zeros at the beginning of a number are not significant.
For example, the number 123.45 has five significant figures, while the number 0.0012 has two significant figures.
Unit 1 Worksheet 2
Unit 1 Worksheet 2 is a worksheet that helps students practice the concept of significant figures. The worksheet contains a variety of problems, including:
- Identifying the number of significant figures in a number
- Rounding numbers to the correct number of significant figures
- Performing calculations with numbers that have different numbers of significant figures
Answer Key: Unit 1 Worksheet 2 Significant Figures Answer Key
| Problem | Question | Answer | Significant Figures |
|---|---|---|---|
| 1 | How many significant figures are in the number 123.45? | 5 | 5 |
| 2 | Round the number 123.456 to three significant figures. | 123 | 3 |
| 3 | Add the following numbers: 12.34 + 5.678 | 18.02 | 4 |
Examples
- Problem:How many significant figures are in the number 0.0012?
- Step 1:Identify the non-zero digits. The non-zero digits are 1 and 2.
- Step 2:Count the number of non-zero digits. There are two non-zero digits.
- Answer:The number 0.0012 has two significant figures.
- Problem:Round the number 123.456 to three significant figures.
- Step 1:Identify the first three significant figures. The first three significant figures are 1, 2, and 3.
- Step 2:Round the fourth significant figure (4) to the nearest even digit. The fourth significant figure is 4, which is rounded to 5.
- Answer:The number 123.456 rounded to three significant figures is 123.
Methods
The methods used to determine the number of significant figures in the answers are the same as the rules for determining the number of significant figures in a number.
To round a number to the correct number of significant figures, follow these steps:
- Identify the first significant figure.
- Count the number of significant figures that you want to keep.
- Round the last significant figure that you want to keep to the nearest even digit.
Procedures
To complete the worksheet, follow these steps:
- Read the instructions for each problem carefully.
- Use the rules for significant figures to solve each problem.
- Check your answers using the answer key.
Here are some tips for completing the worksheet efficiently and accurately:
- Pay attention to the number of significant figures in the given numbers.
- Round your answers to the correct number of significant figures.
- Use a calculator to perform the calculations.
Detailed FAQs
What is the purpose of Unit 1 Worksheet 2?
Unit 1 Worksheet 2 aims to enhance students’ understanding of significant figures and their application in scientific calculations.
How many significant figures are in the number 0.0025?
The number 0.0025 has two significant figures.
What are the rules for determining the number of significant figures in a number?
The rules for determining the number of significant figures in a number include:
- Non-zero digits are always significant.
- Zeros between non-zero digits are significant.
- Leading zeros are not significant.
- Trailing zeros after a decimal point are significant.
