Estimate the difference of 645 and 273.
Answer (2)
Round 645 to the nearest hundred, resulting in 600.
Round 273 to the nearest hundred, resulting in 300.
Subtract the rounded numbers: 600 − 300 = 300 .
The estimated difference is 300 .
Explanation
Problem Analysis We are asked to estimate the difference between 645 and 273. To estimate, we will round each number to the nearest hundred.
Rounding 645 Rounding 645 to the nearest hundred gives us 600.
Rounding 273 Rounding 273 to the nearest hundred gives us 300.
Calculating the Estimated Difference Now, we subtract the rounded numbers to estimate the difference: 600 − 300 = 300
Final Answer Therefore, the estimated difference between 645 and 273 is 300 .
Examples
Estimating differences is useful in everyday situations, such as when you want to quickly calculate the approximate savings on a sale item. For example, if an item originally costs $645 and is now on sale for $273, estimating the difference helps you quickly determine if the savings are significant enough to make the purchase worthwhile. In this case, estimating the difference as $600 - $300 = $300 provides a quick idea of the savings.
To estimate the difference between 645 and 273, we round 645 to 600 and 273 to 300. After subtracting these rounded values, we find that the estimated difference is 300. Thus, the estimated difference is 300 .
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