Questions: Estimate each sum or difference by 562+814 937-486

Estimate each sum or difference by 562+814  937-486
Transcript text: Estimate each sum or difference by $562+814 \quad 937-486$
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Solution

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Solution Steps

To estimate the sum or difference, we can round each number to the nearest hundred and then perform the arithmetic operation.

Step 1: Round the Numbers to the Nearest Hundred

We start by rounding each number to the nearest hundred:

  • \( 562 \) rounds to \( 600 \)
  • \( 814 \) rounds to \( 800 \)
  • \( 937 \) rounds to \( 900 \)
  • \( 486 \) rounds to \( 500 \)
Step 2: Estimate the Sum

Next, we estimate the sum of \( 562 \) and \( 814 \) by adding their rounded values: \[ 600 + 800 = 1400 \]

Step 3: Estimate the Difference

Then, we estimate the difference between \( 937 \) and \( 486 \) by subtracting their rounded values: \[ 900 - 500 = 400 \]

Final Answer

The estimated sum is: \[ \boxed{1400} \] The estimated difference is: \[ \boxed{400} \]

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