Question


*For problems 1-3 use the mental math strategy of scooping the decimal point to the left based on the power of 10.

3.71 ÷ 102
Answer:
8,100 ÷ 104
Answer:

15.7 ÷ 1,000
Answer:

*For problems 4-6 make a mental math division estimate. Think about your multiplication facts to help you with the estimates.

17.7 ÷ 3.2
Answer:

22.5 ÷ 3
Answer:

44.07 ÷ 6.3
Answer:

*For problems 7-9 find the quotient.

37 ÷ 4
Answer:

4.56 ÷ 6
Answer:

20.3 ÷ 7
Answer:

*For problems 10-12 use number sense or an estimate to place the decimal point in the quotient.

43.6 ÷ 6 = 726666667
Answer:

25.4 ÷ 4 = 635
Answer:

21.3 ÷ 3 = 71
Answer:

Answers

GPT-4o mini
For problems 1-3, scooping the decimal point:

1. **3.71 ÷ 102**
- Scooping the decimal 2 places to the left: 3.71 becomes 0.0371.
- Answer: **0.0371**

2. **8,100 ÷ 104**
- Scooping the decimal 4 places to the left: 8,100 becomes 0.81.
- Answer: **0.081**

3. **15.7 ÷ 1,000**
- Scooping the decimal 3 places to the left: 15.7 becomes 0.0157.
- Answer: **0.0157**


For problems 4-6, mental math division estimates:

4. **17.7 ÷ 3.2**
- Estimate: 17.7 is close to 18 and 3.2 is close to 3. So, 18 ÷ 3 = 6.
- Answer: **6**

5. **22.5 ÷ 3**
- Estimate: 22.5 is close to 22 and 3 stays 3. So, 22 ÷ 3 is about 7.
- Answer: **7**

6. **44.07 ÷ 6.3**
- Estimate: 44.07 is close to 44 and 6.3 is close to 6. So, 44 ÷ 6 = about 7.
- Answer: **7**


For problems 7-9, finding the quotient:

7. **37 ÷ 4**
- 37 ÷ 4 = 9.25.
- Answer: **9.25**

8. **4.56 ÷ 6**
- 4.56 ÷ 6 = 0.76.
- Answer: **0.76**

9. **20.3 ÷ 7**
- 20.3 ÷ 7 ≈ 2.9 (approximately).
- Answer: **2.9**


For problems 10-12, using number sense to place the decimal point:

10. **43.6 ÷ 6**
- 43.6 ÷ 6 = 7.26666667, so rounding gives approx. 7.27.
- Answer: **7.27**

11. **25.4 ÷ 4**
- 25.4 ÷ 4 = 6.35.
- Answer: **6.35**

12. **21.3 ÷ 3**
- 21.3 ÷ 3 = 7.1.
- Answer: **7.1**