Estimating Quotients Worksheets - 15 Worksheets Library - Free Printable

To solve the problem of estimating quotients using compatible numbers, we need to round the dividend and divisor to simpler numbers that are easier to divide. Here's how we can approach each problem step by step:

---

Problem 1: \( 64 \div 525 \)

- Dividend: 525
- Divisor: 64

#### Estimation:
- Round 525 to 540 (a multiple of 60).
- Round 64 to 60.

Now, calculate:
\[
540 \div 60 = 9
\]

Answer: \( 9 \)

---

Problem 2: \( 52 \div 320 \)

- Dividend: 320
- Divisor: 52

#### Estimation:
- Round 320 to 300.
- Round 52 to 50.

Now, calculate:
\[
300 \div 50 = 6
\]

Answer: \( 6 \)

---

Problem 3: \( 22 \div 467 \)

- Dividend: 467
- Divisor: 22

#### Estimation:
- Round 467 to 480 (a multiple of 20).
- Round 22 to 20.

Now, calculate:
\[
480 \div 20 = 24
\]

Answer: \( 24 \)

---

Problem 4: \( 19 \div 225 \)

- Dividend: 225
- Divisor: 19

#### Estimation:
- Round 225 to 200.
- Round 19 to 20.

Now, calculate:
\[
200 \div 20 = 10
\]

Answer: \( 10 \)

---

Problem 5: \( 41 \div 765 \)

- Dividend: 765
- Divisor: 41

#### Estimation:
- Round 765 to 800.
- Round 41 to 40.

Now, calculate:
\[
800 \div 40 = 20
\]

Answer: \( 20 \)

---

Problem 6: \( 57 \div 678 \)

- Dividend: 678
- Divisor: 57

#### Estimation:
- Round 678 to 700.
- Round 57 to 60.

Now, calculate:
\[
700 \div 60 \approx 11.67 \quad (\text{Round to } 12)
\]

Answer: \( 12 \)

---

Problem 7: \( 83 \div 654 \)

- Dividend: 654
- Divisor: 83

#### Estimation:
- Round 654 to 640.
- Round 83 to 80.

Now, calculate:
\[
640 \div 80 = 8
\]

Answer: \( 8 \)

---

Problem 8: \( 37 \div 810 \)

- Dividend: 810
- Divisor: 37

#### Estimation:
- Round 810 to 800.
- Round 37 to 40.

Now, calculate:
\[
800 \div 40 = 20
\]

Answer: \( 20 \)

---

Problem 9: \( 12 \div 218 \)

- Dividend: 218
- Divisor: 12

#### Estimation:
- Round 218 to 240.
- Round 12 to 10.

Now, calculate:
\[
240 \div 10 = 24
\]

Answer: \( 24 \)

---

Problem 10: \( 10.49 \div 712 \)

- Dividend: 712
- Divisor: 10.49

#### Estimation:
- Round 712 to 700.
- Round 10.49 to 10.

Now, calculate:
\[
700 \div 10 = 70
\]

Answer: \( 70 \)

---

Problem 11: \( 21 \div 451 \)

- Dividend: 451
- Divisor: 21

#### Estimation:
- Round 451 to 420.
- Round 21 to 20.

Now, calculate:
\[
420 \div 20 = 21
\]

Answer: \( 21 \)

---

Problem 12: \( 33 \div 671 \)

- Dividend: 671
- Divisor: 33

#### Estimation:
- Round 671 to 660.
- Round 33 to 30.

Now, calculate:
\[
660 \div 30 = 22
\]

Answer: \( 22 \)

---

Final Answers:

\[
\boxed{
\begin{array}{ccc}
1. & 9 & \\
2. & 6 & \\
3. & 24 & \\
4. & 10 & \\
5. & 20 & \\
6. & 12 & \\
7. & 8 & \\
8. & 20 & \\
9. & 24 & \\
10. & 70 & \\
11. & 21 & \\
12. & 22 & \\
\end{array}
}
\]