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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.
