Answer :

To find which choice is equivalent to the given expression 5 \times 9.969, we will calculate the expression step-by-step:

  1. First, recognize the expression: [tex]5 \times 9.969[/tex].

  2. Since the problem involves multiplication, execute the following calculation:

    [tex]5 \times 9.969 = 49.845[/tex].

None of the given choices appear correct, so let's rewrite the problem expression in a way that illustrates its components. To approximate it and relate it to simpler numbers, consider:

  1. Break down [tex]9.969[/tex] as [tex]9 + 0.969[/tex].

  2. Re-write the multiplication as:

    [tex]5 \times (9 + 0.969)[/tex].

  3. Distribute the 5:

    [tex](5 \times 9) + (5 \times 0.969)[/tex].

  4. Calculate individually:

    [tex]45 + 4.845 = 49.845[/tex].

Therefore, the original expression simplifies to 49.845. However, to interpret simplifications beyond this arithmetic value, rechecking any apparent oversight in choices offered is crucial to better align with usual behavior in such context. Possible choices might have been missed or miscommunicated.

In any case, the equivalent numerical expression should lead to a similar result or its decomposed components.

Thus, if any approximate alignment to simplifying behind 5*9 with an additional precision degree could be searched, reassessing context transformation (expressions beyond numeric proximity) may help.