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