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B.2 Estimate sums and differences in word problems

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What does it mean to estimate?

Estimating means finding an answer that is close to the exact amount. We use estimation when we do not need the exact number, but we want to know about how much or about how many.

Example:
  • If a ticket costs $47 and another costs $52, we can estimate the total as about $50 + $50 = $100.
Note

Estimating helps check if an answer makes sense before or after solving a problem exactly.

How to estimate sums and differences

When estimating, round each number to a place value that makes the problem easier to solve, such as the nearest ten, hundred, or thousand. Then add or subtract the rounded numbers.

Steps:
  • Step 1: Look at each number and decide which place value to round to.
  • Step 2: Round each number to that place value.
  • Step 3: Add or subtract the rounded numbers to find an estimate.
Note

Always round both numbers before solving. This keeps your estimate balanced and reasonable.

Rounding rules to remember

When rounding a number, look at the digit to the right of your rounding place. If that digit is 5 or more, round up. If it is 4 or less, keep the rounding digit the same and change all digits to the right to zero.

Examples:
  • 472 → rounded to the nearest ten → 470 (because 2 is less than 5)
  • 472 → rounded to the nearest hundred → 500 (because 7 is 5 or more)
Note

Rounding makes numbers simpler and faster to work with, especially in multi-step problems.

Estimating in word problems

In word problems, estimation helps you quickly find about how much something costs, how long something takes, or how far something is. It’s useful when an exact answer isn’t needed or before you solve precisely.

Example:
  • Problem: A school orders 248 pencils and 376 markers. About how many supplies did they order in all?
  • Round: 248 → 200, 376 → 400
  • Estimate: 200 + 400 = 600
  • Answer: The school ordered about 600 supplies in all.
Note

Use estimation to check if your exact calculation is reasonable. For example, if the exact total is 624, it is close to your estimate of 600—so your answer makes sense.

Checking reasonableness

After solving a word problem, compare your exact answer to your estimate. If the numbers are close, your answer is probably reasonable. If they are far apart, check your work again.

Example:
  • Estimate: 300 + 500 = 800
  • Exact sum: 326 + 489 = 815
  • Check: The exact sum (815) is close to 800, so it makes sense.
Note

Estimating before and after solving helps catch mistakes and builds number sense.