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Which expressions are equal to 750,000? Select all that apply.

(1 point)
Responses

75×103
75 × 10 3

75×104
75 × 10 4

75×105
75 × 10 5

10,000×75
10 , 000 × 75

100,000×75

1 answer

To determine which expressions are equal to 750,000, let's evaluate each option:

  1. \(75 \times 10^3\):
    \(75 \times 10^3 = 75 \times 1000 = 75,000\)
    This is not equal to 750,000.

  2. \(75 \times 10^4\):
    \(75 \times 10^4 = 75 \times 10,000 = 750,000\)
    This is equal to 750,000.

  3. \(75 \times 10^5\):
    \(75 \times 10^5 = 75 \times 100,000 = 7,500,000\)
    This is not equal to 750,000.

  4. \(10,000 \times 75\):
    \(10,000 \times 75 = 750,000\)
    This is equal to 750,000.

  5. \(100,000 \times 75\):
    \(100,000 \times 75 = 7,500,000\)
    This is not equal to 750,000.

Thus, the expressions that are equal to 750,000 are:

  • \(75 \times 10^4\)
  • \(10,000 \times 75\)