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Use estimation to evaluate 8,627.5 ÷ 35. A. 2,465 B. 246.5 C. 24.65 D. 2.465 2. Without dividing, use...

1. Use estimation to evaluate 8,627.5 ÷ 35.
A. 2,465
B. 246.5
C. 24.65
D. 2.465
2. Without dividing, use powers of 10 to write three division expressions that are each equivalent to 35.78 ÷ 6.
3. Which expressions are equivalent to 486 ÷ 30? Choose all that apply.
A. 486 ÷ 10 ÷ 3
B. 4,860 ÷ 3,000
C. 48.6 ÷ 3
D. 4.86 ÷ 0.03

Answer

  1. Answer: B. 246.5

    Explanation: Estimating 8,627.5 as 8,600 and 35 as 40, the division is approximately 8,600 ÷ 40 = 215. However, considering the options, 246.5 is the closest reasonable estimate.

  2. Answer:

    1. 357.8 ÷ 60
    2. 3,578 ÷ 600
    3. 35,780 ÷ 6,000

    Explanation: Each expression uses powers of 10 to adjust both the dividend and divisor equally, maintaining the equivalence.

  3. Answer: A. 486 ÷ 10 ÷ 3 and C. 48.6 ÷ 3

    Explanation: Both expressions simplify to the same value as 486 ÷ 30. Option A simplifies to 48.6 ÷ 3, which is equivalent to 486 ÷ 30.

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