Let's go through each of the problems step by step.
-
732.6 ÷ 31.3
- Estimate: Round 732.6 to 730 and 31.3 to 30.
- \( 730 ÷ 30 \approx 24.33 \)
- Estimate result: 24
- Estimate: Round 732.6 to 730 and 31.3 to 30.
-
93.22 ÷ 3.7
- Estimate: Round 93.22 to 90 and 3.7 to 4.
- \( 90 ÷ 4 = 22.5 \)
- Estimate result: 22
- Estimate: Round 93.22 to 90 and 3.7 to 4.
-
378.6 ÷ 102
- Answer: To divide using the power of 10, we can rewrite this as:
- \( 378.6 ÷ 102 = 3.786 ÷ 1.02 \) (moving the decimal point two places to the left)
- Answer: \( 3.786 ÷ 1.02 \approx 3.71 \)
- Answer: To divide using the power of 10, we can rewrite this as:
-
82.1 ÷ 4.6
- Estimate: Round 82.1 to 80 and 4.6 to 5.
- \( 80 ÷ 5 = 16 \)
- Estimate result: 16
- Estimate: Round 82.1 to 80 and 4.6 to 5.
-
8.1 ÷ 100
- Answer:
- \( 8.1 ÷ 100 = 0.081 \)
- Answer: 0.081
- Answer:
-
92.3 ÷ 101
- Answer:
- \( 92.3 ÷ 101 \approx 0.914 \)
- Answer: 0.914
- Answer:
-
492 ÷ 12
- Answer:
- Using traditional long division, \( 492 ÷ 12 = 41 \)
- Answer: 41
- Answer:
-
2.4 ÷ 6
- Answer:
- \( 2.4 ÷ 6 = 0.4 \)
- Answer: 0.4
- Answer:
-
3.2 ÷ 0.8
- Answer:
- \( 3.2 ÷ 0.8 = 4 \)
- Answer: 4
- Answer:
-
Multi-step word problem
- Total spent = $84 (meals) + $24 (desserts) + $20 (tip) = $128
- They split the bill equally among 4 people.
- $128 ÷ 4 = $32
- Answer: Each person spent $32.