High School

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Which of the following can be the product of the two numbers 134125XY06 and 85AB22?

A. 114,747,111,990,332
B. 1,147,471,111,990,332
C. 1,147,471,111,990,832
D. 1,147,451,111,099,032

Answer :

To determine which of the given options can be the product of the two numbers 134125XY06 and 85AB22, let's start by defining the structure of these two numbers. Here we represent the digits X, Y, A, and B as placeholders for any possible digit.

  1. First, let's consider:

    • The first number: 134125XY06
    • The second number: 85AB22

  2. We assume that X, Y, A, and B can each be any digit from 0 to 9. For the sake of simplicity, let's examine what happens when X, Y, A, and B are all zero.

  3. The first number becomes 1341250006.

  4. The second number becomes 8500022.

  5. Next, we perform the multiplication:
    1341250006 * 8500022.

  6. Upon calculating, we get:
    [tex]1341250006 \times 8500022 = 1142571494481220[/tex].

  7. We now compare this product with the provided options:

    • a) 114,747,111,990,332
    • b) 1,147,471,111,990,332
    • c) 1,147,471,111,990,832
    • d) 1,147,451,111,099,032

  8. From our calculation:
    [tex]1142571494481220[/tex] does not match any of the provided options.

Given our step-by-step solution, none of the given options match the product of the numbers 134125XY06 and 85AB22 when X, Y, A, and B are all zero. Thus the answer is:

  • The product does not match any of the given choices a, b, c, or d.

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