 The ideas in this place value lesson are taken from the Place Value 3 ebook that I sell at MathMammoth.com. Only a few examples of each problem type are shown; you should make more problems of each kind for the student. Rounding to nearest hundred or thousand
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[NUMBER LINE available in the ebook] What numbers between 400 and 500 are closer to 400 than to 500? [NUMBER LINE available in the ebook] What numbers between 2400 and 2500 are closer to 2400 than to 2500? Numbers closer to 2400 are rounded down to 2400 when rounding to nearest hundred. And those closer to 2500 are rounded up to 2500. For example, 2412 ≈ 2400; 2429 ≈ 2400; 2478 ≈ 2500; 2490 ≈ 2500. |
1. Mark the following numbers as little dots on the number line (approximately) and round them to either 800 or 900.
[NUMBER LINE available in the ebook]
| 804 ≈ ____
859 ≈ ____ |
808 ≈ ____
892 ≈ ____ |
2. Round these numbers to the nearest hundred.
| 416 ≈ ____
437 ≈ ____ |
254 ≈ ____
247 ≈ ____ |
When you are rounding to the nearest hundred, look at the TENS DIGIT of
the number.
671 ≈ 700 (up), because the tens
digit in 671 is 7. It doesn't matter what the ones digit is when we round to the next hundred. Just look at the TENS digit. |
3. Round these numbers to the nearest hundred.
| 578 ≈ ____
2264 ≈ ____ 1816 ≈ ____ 5567 ≈ ____ |
2088 ≈ ____
4197 ≈ ____ 9008 ≈ ____ 2347 ≈ ____ |
Rounding to the nearest thousand[NUMBER LINE available in the ebook] What numbers between 0 and 1000 are closer to 0 than to 1000? [NUMBER LINE available in the ebook] What numbers between 8000 and 9000 are closer to 8000 than to 9000? Numbers closer to 8000 are rounded down to 8000 when rounding to nearest thousand. And those closer to 9000 are rounded up to 9000. For example, 8134 ≈ 8000; 8478 ≈ 8000; 8513 ≈ 9000; 8802 ≈ 9000. Mark these numbers approximately on the number line above. |
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When you are rounding to the nearest thousand, look at the
HUNDREDS DIGIT of
the number.
When you round down, the thousands digit doesn't change, and the
hundreds and tens and ones digits go to zero.
It doesn't matter what the ones digit or the tens digit is when we round to the next hundred. Just look at the HUNDREDS digit. |
4. Round these numbers to the nearest thousand.
| 1678 ≈ ____
2064 ≈ ____ 1916 ≈ ____ 2088 ≈ ____ |
2119 ≈ ____ 1645 ≈ ____ 9830 ≈ ____ 9437 ≈ ____ |
5. In the following number line the | marks appear at every whole ten. Underlined and illustrated in yellow is the range of numbers that is rounded to 3800, when rounding to nearest hundred.
[NUMBER LINE available in the ebook]
Look and think: What numbers (exactly) are
rounded to 3800?
What numbers would be rounded to 3900?
Draw a similar number line from 7400 till 7700 in
your notebook.
What numbers would be rounded to 7600?
6. Below is a number line from 4400 till 5800. Underlined and illustrated in yellow is the range of numbers that is rounded to 5000, when rounding to nearest thousand.
[NUMBER LINE available in the ebook]
Draw a similar number line from 6300 till 7900 in your notebook. What numbers on your number line would be rounded to 7000?
 Note
that there are several solutions to this problem. What all numbers
can fulfill the conditions?
"If rounded to nearest hundred, I would go to 8500, and if rounded to nearest thousand, I would go to 8000. If you add ten to me and round me to the nearest thousand, I'll go to 9000." |
What numbers between 0 and 1000 are closer to 0 than to 1000?
What numbers between 8000 and 9000 are closer to 8000 than to 9000? Numbers closer to 8000 are rounded down to 8000 when rounding to
nearest thousand. For example, 8134 ≈ 8000; 8478 ≈ 8000; 8513 ≈ 9000; 8802 ≈ 9000. Mark these numbers approximately on the number line above. |
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When you are rounding to the nearest thousand, look at the
HUNDREDS DIGIT of
the number.
When you round down, the thousands digit doesn't change, and the
hundreds and tens and ones digits go to zero.
It doesn't matter what the ones digit or the tens digit is when we round to the next hundred. Just look at the HUNDREDS digit. |
4. Round these numbers to the nearest thousand.
| 1678 ≈ ____
2064 ≈ ____ 1916 ≈ ____ 2088 ≈ ____ |
5098 ≈ ____
8405 ____ 6223 ≈ ____ 4197 ≈ ____ |
5094 ≈ ____
2583 ≈ ____ 4603 ≈ ____ 9508 ≈ ____ |
9567 ≈ ____
8966 ≈ ____ 3700 ≈ ____ 3786 ≈ ____ |
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2. Above is a number line from 4400 till 5800. Underlined and illustrated in yellow is the range of numbers that is rounded to 5000, when rounding to nearest thousand.
Draw a similar number line from 6300 till 7900 in your notebook. What numbers on your number line would be rounded to 7000?
| Note
that there are several solutions to this problem. What all numbers
can fulfill the conditions?
"If rounded to nearest hundred, I would go to 8500, and if rounded to nearest thousand, I would go to 8000. If you add ten to me and round me to the nearest thousand, I'll go to 9000." |
The ideas in this place value lesson are taken from the Place Value 3 ebook that I sell at MathMammoth.com. Only a few examples of each problem type are shown; you should make more problems of each kind for the student.
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