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Math Lesson 2.1.4 - Rounding to the Nearest Thousand

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Welcome to our Math lesson on Rounding to the Nearest Thousand, this is the fourth lesson of our suite of math lessons covering the topic of Rounding and Significant Figures, you can find links to the other lessons within this tutorial and access additional Math learning resources below this lesson.

Rounding to the Nearest Thousand

The same procedure is also used when rounding a number to the nearest thousand. In this case, we look at the hundreds digit (the third from the right). If it is 0, 1, 2, 3 and 4, then the number is rounded down to the nearest thousand. This means the rounded number becomes smaller than the original. On the other hand, when the hundreds digit is 5, 6, 7, 8 and 9, the number is rounded up to the nearest thousand and the number therefore becomes bigger. Obviously, the number will have at least 3 zeroes at the end.

For example, when rounded to the nearest thousand, 472 becomes 0; 597 becomes 1000; 1946 becomes 2000; and so on.

Math Tutorials: Rounding and Significant Figures Example

As you see, a number rounded to the nearest thousand usually has three zeroes at the end. However, a number may end with more than three zeroes after being rounded to the nearest thousand. This occurs when the number is close to ten thousand, hundred thousand and so on. For example, when rounded to the nearest thousand, 9758 becomes 10,000; 99673 becomes 100,000; and so on.

We can continue using the same logic for further rounding such as to the nearest ten thousand, hundred thousand, one million, etc. In such cases, we must consider the fourth, fifth and sixth digit from the right respectively. They must obey the aforementioned rules regarding to the possible rounding up or down.

Example 1

Round the number 437,891 to the nearest 10, 100, 1000 and 10,000.

Solution 1

We must consider the value of the units' digit when rounding to the nearest ten. Since this value is 1, we have a rounding down. Hence, 437,891 ≈ 437,890.

We must consider the value of the tens digit when rounding to the nearest hundred. Since this value is 9, we have a rounding up. Hence, 437,891 ≈ 437,900.

We must consider the value of the hundreds digit when rounding to the nearest thousand. Since this value is 8, we have a rounding up. Hence, 437,891 ≈ 438,000.

We must consider the value of the thousands digit when rounding to the nearest thousand. Since this value is 7, we have a rounding up. Hence, 437,891 ≈ 440,000.

More Rounding and Significant Figures Lessons and Learning Resources

Approximations Learning Material
Tutorial IDMath Tutorial TitleTutorialVideo
Tutorial
Revision
Notes
Revision
Questions
2.1Rounding and Significant Figures
Lesson IDMath Lesson TitleLessonVideo
Lesson
2.1.1What is Rounding
2.1.2Rounding to the Nearest Ten
2.1.3Rounding to the Nearest Hundred
2.1.4Rounding to the Nearest Thousand
2.1.5Explaining Rounding in the Number Axis
2.1.6Other Types of Rounding
2.1.7Significant Figures
2.1.8Rules of Significant Figures
2.1.9Applications of Significant Figures

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  1. Nearest Thousand Feedback. Helps other - Leave a rating for this nearest thousand (see below)
  2. Approximations Math tutorial: Rounding and Significant Figures. Read the Rounding and Significant Figures math tutorial and build your math knowledge of Approximations
  3. Approximations Video tutorial: Rounding and Significant Figures. Watch or listen to the Rounding and Significant Figures video tutorial, a useful way to help you revise when travelling to and from school/college
  4. Approximations Revision Notes: Rounding and Significant Figures. Print the notes so you can revise the key points covered in the math tutorial for Rounding and Significant Figures
  5. Approximations Practice Questions: Rounding and Significant Figures. Test and improve your knowledge of Rounding and Significant Figures with example questins and answers
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  7. Continuing learning approximations - read our next math tutorial: Upper and Lower Bounds. Intervals and Segments

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