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Select all equations that are true

9 21* 10^3=921
9.21x10^1=92.1
0.921x100=921
0.921x1`0^4=9,210
0.0921x10^2=9.21

1 answer

Let's evaluate each equation one by one:

  1. 9 21 10^3=921*
    This equation is not correct as written; it seems to be a formatting error with the spacing. Assuming it means \( 9 \times 21 \times 10^3 \) or similar, it doesn't equal 921. This must be incorrect in its current form.

  2. 9.21x10^1=92.1
    This equation is true. \( 9.21 \times 10^1 = 9.21 \times 10 = 92.1 \).

  3. 0.921x100=921
    This equation is also true. \( 0.921 \times 100 = 92.1 \), not 921, so this is false.

  4. 0.921x10^4=9,210
    This equation is true. \( 0.921 \times 10^4 = 0.921 \times 10,000 = 9,210 \).

  5. 0.0921x10^2=9.21
    This equation is true. \( 0.0921 \times 10^2 = 0.0921 \times 100 = 9.21 \).

Therefore, the true equations are:

  • 9.21x10^1=92.1
  • 0.921x10^4=9,210
  • 0.0921x10^2=9.21