732.6 ÷ 31.3

Estimate:

93.22 ÷ 3.7
Estimate:

*Scoop the decimal point to the left based on the power of 10 to solve the following problems.

4.) 378.6 ÷ 102
Answer:
*Make a mental math division estimate. Then find the answer to your estimate. Do not find the actual answer.

82.1 ÷ 4.6
Estimate:

5.) 8.1 ÷ 100
Answer:

6.) 92.3 ÷ 101
Answer:

*Solve the division problems using the traditional method in your notebook. Then type the answer below.

7.) 492 ÷ 12
Answer:

8.) 2.4 ÷ 6
Answer:

9.) 3.2 ÷ 0.8
Answer:

*Solve the multi step word problem.

10.) Eliana, Addy, Michael, and Dave went out to eat. They spent a total of $84 on their meals, $24 on desserts, and $20 on tip. They decided to split the bill equally. How much did each person spend?
Answer:

1 answer

Let's go through each of the problems step by step.

  1. 732.6 ÷ 31.3

    • Estimate: Round 732.6 to 730 and 31.3 to 30.
      • \( 730 ÷ 30 \approx 24.33 \)
      • Estimate result: 24
  2. 93.22 ÷ 3.7

    • Estimate: Round 93.22 to 90 and 3.7 to 4.
      • \( 90 ÷ 4 = 22.5 \)
      • Estimate result: 22
  3. 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: \( 3.786 ÷ 1.02 \approx 3.71 \)
  4. 82.1 ÷ 4.6

    • Estimate: Round 82.1 to 80 and 4.6 to 5.
      • \( 80 ÷ 5 = 16 \)
      • Estimate result: 16
  5. 8.1 ÷ 100

    • Answer:
      • \( 8.1 ÷ 100 = 0.081 \)
      • Answer: 0.081
  6. 92.3 ÷ 101

    • Answer:
      • \( 92.3 ÷ 101 \approx 0.914 \)
      • Answer: 0.914
  7. 492 ÷ 12

    • Answer:
      • Using traditional long division, \( 492 ÷ 12 = 41 \)
      • Answer: 41
  8. 2.4 ÷ 6

    • Answer:
      • \( 2.4 ÷ 6 = 0.4 \)
      • Answer: 0.4
  9. 3.2 ÷ 0.8

    • Answer:
      • \( 3.2 ÷ 0.8 = 4 \)
      • Answer: 4
  10. 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.