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To round a number to a given number of significant figures (digits) or decimal places you need to look at what comes after the appropriate number of digits. If what follows is less than 5 then the number is truncated (chopped off) at the appropriate length. If what follows is greater than 5 then the final digit of the number that is to remain is increased by one and the rest discarded.
So,
1.23456 rounded to 3 significant figures or 2 decimal places is 1.23 since the next digit is 4, which is less than 5.
1.23456 rounded to 5 significant figures or 4 decimal places is 1.2346 since the next digit is 6 which is greater than 5. So 1.2345 is rounded up to 1.2346.
What do you do if the next digit is 5? You look at the next two digits: if they are less than 50 you truncate, if they are greater than 50 you round up the final digit.
Finally, what do you do if the final digit is exactly 5. Many [most] school incorrectly teach pupils to round up from 5. This introduces an upward bias in the results because on average you round down 40 per cent of the times (next digit 1, 2, 3 or 4), and round up 50% (next digit 5, 6, 7, 8 or 9). A better solution is to round up or down so that the new last digit is even. This is the default rounding mode used in IEEE 754 computing functions and operators.
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What are the first 10 numbers in pie?
The first ten numbers in pie are : 3.141592654 (the last 4 is from rounding it from the number below) The sixteen numbers of pie are: 3.141592653589793
How can you Estimate the sum or difference using benchmarks?
rounding
What is the difference between elementary algebra and Boolean algebra?
Here are the basic differences:elementary algebra:- Domain is the real numbers- Uses the operations of addition, subtraction, and multiplication- Uses the laws of associativity, commutativity, and distributivityBoolean algebra:- Domain is only two numbers- Uses the operations of conjunction, disjunction, and negation (AND, OR, NOT)- Uses the laws of associativity, commutativity, distributivity, absorption, and complements
How do you use rounding to estimate a product?
You round the two numbers you are multiplying and try it. Lets use 16 and 13 and round to the nearest ten. We would round 16 to 20, and 13 to 10. Then we multiply 20 and 10 and get 200. So the answer would be around 200. The actual answer is 208 by the way.
What kind of numbers belongs to the family of real numbers?
Numbers that include real numbers are natural numbers, whole numbers, integers, rational numbers and irrational numbers.
How are you rounding whole numbers and decimals?
rounding whole numbers and decimals
What is the purpose of rounding numbers?
the purpose of rounding numbers is that you can get closer to the actual answer
What is the answer 1274 rounding numbers?
It depends on the degree of rounding.
What is front rounding of numbers?
The name comes from the way you round. Front end rounding is keeping the first number and rounding all the numbers after that.
How is rounding whole numbers and decimals similar?
Is the rounding is skidding
What is estimating NOT as helpful when multiplying very small numbers?
It is - if you use appropriate rounding. Rounding does not have to be to whole numbers.
What is the difference between a compatible number and rounding numbers?
rounding numbers is to nearest ten or hundred and compatible numbers are when you can do nearest 5
Why is rounding num bers easy?
Rounding numbers is easy because their are two rules to rounding numbers. 1) a </= 4 then a = 0 2) a >/= 5 then a = 10
What are the steps in rounding off numbers?
steps rounding off number
Rules in rounding fraction numbers?
Add your whole numbers
Who invented rounding to whole numbers?
Bob Sinclar invented rounding. :) Hope this was helpful. :]
How is rounding to the nearest ten similar to rounding to the nearest ten thousand?
They both involve rounding numbers.
