Round 14.857 To The Nearest Tenth.A. 10.0 B. 14.8 C. 14.9 D. 15.0
Introduction
Rounding numbers is a fundamental concept in mathematics that involves approximating a value to a specific number of decimal places. In this article, we will explore the concept of rounding numbers, specifically focusing on rounding to the nearest tenth. We will also provide a step-by-step guide on how to round numbers to the nearest tenth, along with examples and practice problems.
What is Rounding Numbers?
Rounding numbers is a process of approximating a value to a specific number of decimal places. It involves looking at the digit in the next decimal place and deciding whether to round up or down. The goal of rounding numbers is to simplify complex values and make them easier to work with.
Rounding to the Nearest Tenth
Rounding to the nearest tenth involves looking at the digit in the hundredths place and deciding whether to round up or down. If the digit in the hundredths place is 5 or greater, we round up. If the digit in the hundredths place is less than 5, we round down.
Step-by-Step Guide to Rounding to the Nearest Tenth
- Look at the digit in the hundredths place: The first step in rounding to the nearest tenth is to look at the digit in the hundredths place. This digit will determine whether we round up or down.
- Determine whether to round up or down: If the digit in the hundredths place is 5 or greater, we round up. If the digit in the hundredths place is less than 5, we round down.
- Round the digit in the tenths place: Once we have determined whether to round up or down, we round the digit in the tenths place. If we rounded up, we add 1 to the digit in the tenths place. If we rounded down, we leave the digit in the tenths place unchanged.
Examples of Rounding to the Nearest Tenth
- Example 1: Round 14.857 to the nearest tenth.
- Step 1: Look at the digit in the hundredths place. The digit in the hundredths place is 7, which is greater than 5.
- Step 2: Determine whether to round up or down. Since the digit in the hundredths place is 7, we round up.
- Step 3: Round the digit in the tenths place. We add 1 to the digit in the tenths place, resulting in 14.9.
- Example 2: Round 14.432 to the nearest tenth.
- Step 1: Look at the digit in the hundredths place. The digit in the hundredths place is 2, which is less than 5.
- Step 2: Determine whether to round up or down. Since the digit in the hundredths place is 2, we round down.
- Step 3: Round the digit in the tenths place. We leave the digit in the tenths place unchanged, resulting in 14.4.
Practice Problems
- Round 14.923 to the nearest tenth.
- Round 14.117 to the nearest tenth.
- Round 14.655 to the nearest tenth.
Answer Key
- 14.9
- 14.1
- 14.7
Conclusion
Rounding numbers to the nearest tenth is a fundamental concept in mathematics that involves approximating a value to a specific number of decimal places. By following the step-by-step guide outlined in this article, you can learn how to round numbers to the nearest tenth with ease. Remember to look at the digit in the hundredths place, determine whether to round up or down, and round the digit in the tenths place accordingly. With practice, you will become proficient in rounding numbers to the nearest tenth and be able to apply this skill in a variety of mathematical contexts.
Additional Resources
- Khan Academy: Rounding Numbers
- Mathway: Rounding Numbers
- IXL: Rounding Numbers
FAQs
- Q: What is rounding numbers? A: Rounding numbers is a process of approximating a value to a specific number of decimal places.
- Q: How do I round numbers to the nearest tenth? A: To round numbers to the nearest tenth, look at the digit in the hundredths place, determine whether to round up or down, and round the digit in the tenths place accordingly.
- Q: What are some common mistakes to avoid when rounding numbers?
A: Some common mistakes to avoid when rounding numbers include rounding up or down incorrectly, failing to look at the digit in the hundredths place, and not rounding the digit in the tenths place correctly.
Rounding Numbers: A Comprehensive Guide =============================================
Q&A: Rounding Numbers
Q: What is rounding numbers?
A: Rounding numbers is a process of approximating a value to a specific number of decimal places. It involves looking at the digit in the next decimal place and deciding whether to round up or down.
Q: Why is rounding numbers important?
A: Rounding numbers is important because it helps to simplify complex values and make them easier to work with. It is also used in a variety of mathematical contexts, such as finance, science, and engineering.
Q: How do I round numbers to the nearest tenth?
A: To round numbers to the nearest tenth, look at the digit in the hundredths place, determine whether to round up or down, and round the digit in the tenths place accordingly.
Q: What are some common mistakes to avoid when rounding numbers?
A: Some common mistakes to avoid when rounding numbers include:
- Rounding up or down incorrectly
- Failing to look at the digit in the hundredths place
- Not rounding the digit in the tenths place correctly
Q: How do I know when to round up or down?
A: To determine whether to round up or down, look at the digit in the hundredths place. If the digit in the hundredths place is 5 or greater, round up. If the digit in the hundredths place is less than 5, round down.
Q: Can I round numbers to any decimal place?
A: Yes, you can round numbers to any decimal place. However, the process of rounding numbers is different for each decimal place.
Q: What is the difference between rounding and truncating?
A: Rounding and truncating are two different mathematical operations. Rounding involves approximating a value to a specific number of decimal places, while truncating involves cutting off the decimal places.
Q: How do I round numbers to the nearest hundredth?
A: To round numbers to the nearest hundredth, look at the digit in the thousandths place, determine whether to round up or down, and round the digit in the hundredths place accordingly.
Q: Can I use a calculator to round numbers?
A: Yes, you can use a calculator to round numbers. However, it is also important to understand the process of rounding numbers by hand.
Q: Why is it important to understand the process of rounding numbers?
A: Understanding the process of rounding numbers is important because it helps you to:
- Simplify complex values
- Make accurate calculations
- Understand mathematical concepts
Q: Can I round numbers to the nearest thousandth?
A: Yes, you can round numbers to the nearest thousandth. However, the process of rounding numbers is different for each decimal place.
Q: How do I round numbers to the nearest millionth?
A: To round numbers to the nearest millionth, look at the digit in the ten-thousandths place, determine whether to round up or down, and round the digit in the millionths place accordingly.
Conclusion
Rounding numbers is a fundamental concept in mathematics that involves approximating a value to a specific number of decimal places. By understanding the process of rounding numbers, you can simplify complex values, make accurate calculations, and understand mathematical concepts. Remember to look at the digit in the next decimal place, determine whether to round up or down, and round the digit in the current decimal place accordingly.
Additional Resources
- Khan Academy: Rounding Numbers
- Mathway: Rounding Numbers
- IXL: Rounding Numbers
FAQs
- Q: What is rounding numbers? A: Rounding numbers is a process of approximating a value to a specific number of decimal places.
- Q: Why is rounding numbers important? A: Rounding numbers is important because it helps to simplify complex values and make them easier to work with.
- Q: How do I round numbers to the nearest tenth? A: To round numbers to the nearest tenth, look at the digit in the hundredths place, determine whether to round up or down, and round the digit in the tenths place accordingly.