Q&A for How to Round Numbers

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  • Question
    If the number before is larger, do I round up or down?
    Community Answer
    Typically, the rule for rounding numbers is "4 or less, round it down. 5 or more, round it up."
  • Question
    What is the maximum possible length 10.2 cm rounded to one decimal place could be?
    Community Answer
    10.2499 cm.
  • Question
    How would I round 20,050 to three significant figures?
    Donagan
    Top Answerer
    "Three significant figures" refers to the first three digits starting from the left. So, you round the third digit up or down depending on what the fourth digit is. Since the fourth digit is "5," you would round the third digit up. That leaves you with 20,100.
  • Question
    What are the effects of rounding off numbers when doing mathematical calculations?
    Community Answer
    The closer you round to a whole number, the less accurate the number becomes. For example, "2.345678" is more accurate than "2.3457." In a lot of simple real-world cases, this doesn't matter, but for scientific or engineering purposes, you will need to be as accurate as possible, so there will either be no rounding, or rounding to a much higher decimal place.
  • Question
    What is rounding off? I can't understand it, is it like one, tens, hundreds, thousands...?
    Donagan
    Top Answerer
    Rounding off is a way to simplify a number by shortening it to fewer significant digits without changing its value very much. An example is rounding 1,096 (four significant digits) up to 1,100 (two significant digits).
  • Question
    A packet was given to the teachers that said round 0.867 to the nearest thousandth and the answer was 0.900. We do not understand how this is the answer.
    Donagan
    Top Answerer
    0.900 has been rounded to the nearest tenth. In order to round 0.867 to the nearest thousandth, you would need another digit to the right of the 7.
  • Question
    How do I round off 0.23084 to three significant figures?
    Donagan
    Top Answerer
    0.231.
  • Question
    How do I round 2.9997 to 4 significant figures?
    Donagan
    Top Answerer
    If you keep rounding up beginning with the right-most digit, you wind up with 3.000 in four significant digits.
  • Question
    How do I express three hundred fourteen thousandths as a decimal fraction?
    Donagan
    Top Answerer
    0.314 = 314 / 1000.
  • Question
    What is 526,682 to the nearest 100?
    Donagan
    Top Answerer
    526,700.
  • Question
    Suppose the decimal you're rounding is 12.3553. How would you round if you were trying to round to the hundredths place?
    Cluster Duck
    Community Answer
    If we want to round to 2 decimal places, we must look at the thousandths place. Here, the number is five so we have to round the number in the hundredths place upwards. Therefore, your answer should be 12.36.
  • Question
    How do I round -20.5 to the nearest whole number?
    Donagan
    Top Answerer
    There is no universally agreed-upon rule about rounding negative numbers. Some people would round -20.5 to -20. Others would round to -21. If you have a teacher, ask that person what the preference is. Otherwise, round up or down as you like. There are good arguments either way.
  • Question
    How do I round by 15?
    Donagan
    Top Answerer
    There's no such thing as rounding by 15. You round to the nearest one, ten, hundred, thousand, etc., or to the nearest tenth, hundredth, thousandth, etc.
  • Question
    What does 3 round to?
    Donagan
    Top Answerer
    Because 3 is less than 5, it rounds down to zero.
  • Question
    How do I round off 29,035 to the nearest hundred?
    Donagan
    Top Answerer
    The hundreds' column is the third column from the right. So you look at the tens' column, which has a 3. So you round the hundreds' column down to the nearest hundred: 29,000.
  • Question
    What is 0.4 when it is spoken with the place value?
    Donagan
    Top Answerer
    That number is four-tenths.
  • Question
    How can I round to the nearest thousand: 456?
    I_l1ke_gam3s
    Community Answer
    Because there is no thousand's place, there's no such thing here. You can round to the nearest hundred, making it 500.
  • Question
    How do I round off 45.9987 to the nearest tens?
    Donagan
    Top Answerer
    Round up to 50.
  • Question
    How do I round 2357 to the nearest ten?
    Donagan
    Top Answerer
    Because of the 7, round up to 2360.
  • Question
    How do I round 328 to the nearest 10?
    Donagan
    Top Answerer
    Because of the 8, round up to 330.
  • Question
    What do you do if the number is 0?
    Donagan
    Top Answerer
    If the "rounding number" is 0, it will either remain 0 or round up to 1, depending on the number immediately to the right.
  • Question
    What is the answer to how to round to the tenth plays in 4.789?
    Donagan
    Top Answerer
    Rounding to the nearest tenth, it becomes 4.8.
  • Question
    My grades is 1.7623, and 6 is supposed to be rounded down because the right significant digit is 2. So instead of 1.76 it will appear as 1.75, correct?
    Donagan
    Top Answerer
    No, it's 1.76. The 2 means that the 6 remains instead of being rounded up to 7. So 1.7623 is "rounded down" to 1.76.
  • Question
    How do I round 12.74449 to the nearest tens?
    Donagan
    Top Answerer
    When rounding to the nearest ten's digit, 12 always rounds down to 10 (no matter what the digits are to the right of the decimal point). If you are asking about the nearest tenth's digit (the 7 in this example), the 9 causes all of the 4's to round up to 5, which causes the 7 to round up to 8. So in this case rounding to the nearest tenth results in 12.8.
  • Question
    Do I have to round 3350 off by tens or hundreds? If I round it off by 10, because of the five I have to round it up; if I round it off by 100, then because of three, I have to round it down.
    Donagan
    Top Answerer
    Round it according to whatever instructions are given with the question.
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