estimate each sum or difference by rounding to the greatest place value.
797 - 234
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To estimate the difference between 797 and 234 by rounding to the greatest place value, follow these steps:
1. Identify the greatest place value in both numbers. In this case, it is the hundreds place because both numbers have values in the hundreds place (7 and 2).
2. Round each number to the nearest hundred by looking at the digit in the tens place. If the digit in the tens place is 5 or greater, increase the hundreds place by one. If the digit in the tens place is less than 5, keep the hundreds place the same.
Rounding 797:
- The digit in the tens place is 9, which is 5 or greater, so the hundreds place (the digit to the left of the tens place) is increased by one. The number rounds to 800.
Rounding 234:
- The digit in the tens place is 3, which is less than 5, so the hundreds place remains the same. The number rounds to 200.
3. Calculate the estimated difference by subtracting the rounded numbers. In this case, 800 - 200 = 600.
The estimated difference between 797 and 234, rounded to the greatest place value, is 600.
I did two of these problems for you. Now it's your turn.
I'll be glad to check your answer