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Round 34699 to the nearest ten thousand.
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Let’s start by looking at the number 34699.
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Which one of the five digits in this number is the ten thousands digit.
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The digit three is in the ten thousands place.
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And so it has a value of three lots of ten thousand or thirty thousand.
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And so if we were to draw a number line, we know that number 34699 would be somewhere between 30000 and 40000.
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And in this question, we’re asked to round our number to the nearest ten thousand.
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Which is it nearest to, 30000 or 40000?
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To know whether we need to round up or down, we need to look at the next digit to the right, the thousands digit.
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We know that halfway along our number line is 35000, with a five in the thousands place.
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Any number from this point onwards we will round up to 40000.
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So any number that has a five, a six, a seven, an eight, or a nine in the thousands place we’ll round up.
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And so any number that has a zero, a one, a two, a three, or a four in the thousands place we’ll round down.
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34699 has a four in the thousands place.
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This is less than 35000.
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And so we need to round the number down to the nearest ten thousand.
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And so if we round 34699 to the nearest ten thousand, it becomes 30000.