Estimate sums, differences, products and quotients: word problems
Key notes :
- Estimation:
- Estimation is a way to find a rough answer that is close to the exact answer.
- It helps to quickly assess whether an answer makes sense.
- Rounding Numbers:
- Round numbers to the nearest ten or hundred to simplify calculations.
- Example:
- For 67, round to 70.
- For 134, round to 100.
- Operations:
- Understand the four basic operations:
- Addition (sum)
- Subtraction (difference)
- Multiplication (product)
- Division (quotient)
- Understand the four basic operations:
Estimating Sums and Differences
- Sums:
- Round each number to the nearest ten and then add.
- Example: Estimate 48 + 37 :
- Round 48 to 50 and 37 to 40.
- Estimated sum = 50 + 40 = 90.
- Differences:
- Round the numbers to the nearest ten and then subtract.
- Example: Estimate 92 − 25:
- Round 92 to 90 and 25 to 30.
- Estimated difference = 90 − 30 = 60.
Estimating Products and Quotients
- Products:
- Round each number to the nearest ten or hundred before multiplying.
- Example: Estimate 23 × 15 :
- Round 23 to 20 and 15 to 20.
- Estimated product = 20 × 20 = 40.
- Quotients:
- Round the dividend and divisor to the nearest ten before dividing.
- Example: Estimate 64 ÷ 8:
- Round 64 to 60 and 8 to 10.
- Estimated quotient = 60 ÷10=6.
Learn with an example
✈️ Insects have invaded Marcy’s house. She gets rid of 25 insects on her own. Then an exterminator gets rid of another 53 insects. When they finish, there are no insects left.
how many insects were originally in Marcy’s house?
Choose the better estimate.
- 50
- 80
- Add the number of insects Marcy gets rid of and the number of insects the exterminator gets rid of.
- 53 + 25 = ?
- Round each number to the nearest ten.

- 80 is the better estimate.
✈️ There were a total of 69 books sitting on a bookcase in Colton’s bedroom until he sold 22 of them.
how many books are left on the bookcase?
Choose the better estimate.
- 50
- 20
- Subtract the number of books sold from the total number of books.
- 69 − 22 = ?
- Round each number to the nearest ten.

- 50 is the better estimate.
✈️ A restaurant purchased 91 boxes of ketchup packets. Each box contained 55 packets of ketchup.
how many ketchup packets in total did the restaurant purchase?
Choose the better estimate.
- 54000
- 5400
- Multiply:
- 91 × 55 = ?
- Round each factor to the nearest ten.

- 5,400 ketchup packets is the better estimate.
Let’s practice!🖊️