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Rounding is a way of simplify an exact number to make it easier to understand or remember. For example, the population of a city might be 71,212. To nearest thousand, this number is 71,000 which may be close enough for your purposes. To nearest hundred, it is 71,200 which is more accurate.
Estimating is educated guessing, based on experience, visual observations, or rough calculations or other information. I might estimate the population of a city by driving around in it, counting the houses, studying a city map , aerial photograph or telephone directory or considering other information.
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How are estimating and rounding different?
Estimating is a guess that should be close to the answer. Round is rounding a number up to the nearest ten, hundred. Example $345.89 round to the nearest dollar is $345.
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
Find the difference between the greatest and the smallest number each of which on rounding of gives 5400?
The answer depends on whether the rounding is to the nearest hundreds, the nearest tens or nearest unit!
What is the difference between rounding and estimating in math?
Rounding is when you make the number go up by 1 when it is 5 or more in a one digit number. When it is a two digit number, the number in the ones place has to be 5 or more to round up which means to make the number go up. When a number in the ones place is less than 5, you have to make the number goes down. For example, if you have the number 59, you would round up and it would be 60 or if you had the number 52, you would go down and the number would be 50. Rounding is also done after you solve an equation. For example, when you have an equation like 25+61, you would first have to solve the equation normally and then you round the answer. 25+61=86. 86 is rounded to 90 and that is your answer for an equation that is needed to be rounded. Estimating is when you have an equation and you round up or down before you solve the equation.
What are the rules to Estimating products and quotients of mixed numbers?
Estimating sumsUse rounded numbers to estimate sums.Example 1Give an estimate for the sum of 19.61 and 5.07 by rounding to the nearest tenth.Round each number to the nearest tenth.Example 2Estimate the sum of 19.61 + 5.07 by rounding to the nearest whole number.Round each number to a whole number.Estimating differencesUse rounded numbers to estimate differences.Example 3Give an estimate for the difference of 12.356 - 5.281 by rounding to the nearest whole number.Round each number to the nearest whole number.Now subtract.So 12.356 - 5.281 ≈ 7.Estimating productsUse rounded numbers to estimate products.Example 4Estimate the product of 4.7 × 5.9 by rounding to the nearest whole number.Round each number to a whole number.So 4.7 × 5.9 ≈ 30.Again, in decimals, as in whole numbers, if both multipliers end in .5, or are halfway numbers, rounding one number up and one number down will give you a better estimate of the product.Example 5Estimate the product of 7.5 × 8.5 by rounding to the nearest whole number.You can also round the first number down and the second number up and get this estimate.In either case, your approximation will be closer than it would be if you rounded both numbers up, which is the standard rule.Estimating quotientsUse rounded numbers to estimate quotients.Example 6Estimate the quotient of 27.49 ÷ 3.12 by rounding to the nearest whole number.Round each number to the nearest whole number.
What is the relationship of rounding and estimating?
Rounding, you see the number and just make it look neater or easier to use. Estimating, you guess a number.
How are estimating and rounding different?
Estimating is a guess that should be close to the answer. Round is rounding a number up to the nearest ten, hundred. Example $345.89 round to the nearest dollar is $345.
What is the difference between rounding-off to the nearest whole number and rounding-off to the nearest ones?
Im not sure actually. But rounding to the nearest number means its easier probably.
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
What is the difference between a rounded number and an estimated one?
Estimating will frequently be the same as rounding, but not necessarily. Rounded numbers have specific rules about where they round to. These don't apply to estimation. 46 will always round up to 50, but it may be advantageous to estimate it at 45.
What is different about rounding and estimating?
You use rounding TO estimate. For instance, estimating is 2.8 + 3.9 is about 7. Rounding is 2.8 is about 3 and 3.9 is about 4. When you estimate, you're rounding MULTIPLE numbers which you will then add, multiply, etc. to get an ESTIMATE! when you're rounding, you need to be given a certain number and you make it less specific. for example, the population of whoville is 693044. if I'm rounding to the nearest thousand, then the answer is 693000. numbers 5 and up are rounded up. numbers 4 and below are rounded down. when you're estimating, you're basically making an educated guess without knowing the real number. for example, you're looking at a bag of jellybeans and you guess there's 750 in there. it seems like a reasonable number so you estimate that.
Find the difference between the greatest and the smallest number each of which on rounding of gives 5400?
The answer depends on whether the rounding is to the nearest hundreds, the nearest tens or nearest unit!
What is the difference between estimate and rounding?
An Estimate is basically a guess. Rounding is when you have an answer and you shorten the answer to a given number of digits. eg $27482 would round to $27500 to the nearest hundred dollars.
What is the difference in what you have to do for rounding and estimating?
Estimating is just an educated guess. For example, if you have to solve the problem 102.17 plus 266.18, you would make an educated guess. An educated guess would be 100+ 270 which equals 370. When you are rounding, you will usually get instructions to round a certain number. It is knowing the exact value, but finding the nearest whole number. For example: Round to the nearest hundredth 4.6781 If you are rounding to the nearest hundredth, you are trying to round the number 8, since it is in the hundredths spot. To round 8, look at 1. Is it greater than 5? If the number is greater than 5, round the number up by 1. If the number is smaller than 5, the number remains the same.
What is the difference between rounding and estimating in math?
Rounding is when you make the number go up by 1 when it is 5 or more in a one digit number. When it is a two digit number, the number in the ones place has to be 5 or more to round up which means to make the number go up. When a number in the ones place is less than 5, you have to make the number goes down. For example, if you have the number 59, you would round up and it would be 60 or if you had the number 52, you would go down and the number would be 50. Rounding is also done after you solve an equation. For example, when you have an equation like 25+61, you would first have to solve the equation normally and then you round the answer. 25+61=86. 86 is rounded to 90 and that is your answer for an equation that is needed to be rounded. Estimating is when you have an equation and you round up or down before you solve the equation.
What are the rules to Estimating products and quotients of mixed numbers?
Estimating sumsUse rounded numbers to estimate sums.Example 1Give an estimate for the sum of 19.61 and 5.07 by rounding to the nearest tenth.Round each number to the nearest tenth.Example 2Estimate the sum of 19.61 + 5.07 by rounding to the nearest whole number.Round each number to a whole number.Estimating differencesUse rounded numbers to estimate differences.Example 3Give an estimate for the difference of 12.356 - 5.281 by rounding to the nearest whole number.Round each number to the nearest whole number.Now subtract.So 12.356 - 5.281 ≈ 7.Estimating productsUse rounded numbers to estimate products.Example 4Estimate the product of 4.7 × 5.9 by rounding to the nearest whole number.Round each number to a whole number.So 4.7 × 5.9 ≈ 30.Again, in decimals, as in whole numbers, if both multipliers end in .5, or are halfway numbers, rounding one number up and one number down will give you a better estimate of the product.Example 5Estimate the product of 7.5 × 8.5 by rounding to the nearest whole number.You can also round the first number down and the second number up and get this estimate.In either case, your approximation will be closer than it would be if you rounded both numbers up, which is the standard rule.Estimating quotientsUse rounded numbers to estimate quotients.Example 6Estimate the quotient of 27.49 ÷ 3.12 by rounding to the nearest whole number.Round each number to the nearest whole number.
Why is the number 5 the key comparison number in the rounding process?
A number ending in 0 does not require rounding. And 5 is half-way between 1 and 9.
