To determine which numbers have a seven worth 10 times more than another seven, we need to look for the specific placement of the digit '7'.
In decimal notation:
- The first '7' (to the left of the decimal point) represents the tens place (worth 70).
- The second '7' (to the right of the decimal point, in the hundredths place) represents 0.07.
So a '7' that is 10 times more than another '7' would have '7' in the tens place (70) and '7' in the hundredths place (0.07).
Let's analyze the numbers you provided:
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1.873: Here, the '7' is in the hundredths place (0.07). There is no '7' in the tens place. So this doesn't qualify.
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17.894: Here, the '7' is in the tens place (worth 70). However, there is no '7' in the hundredths place. This doesn't qualify either.
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187.07: Here, the '7' is in the ones place (worth 7) and in the hundredths place (worth 0.07). But again, there is no '7' in the tens place. So this doesn't qualify.
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0.765: Here, the '7' is in the tenths place (worth 0.7). There is no '7' in the tens place at all. So this doesn't qualify.
From the analysis above, none of the provided numbers have a '7' that is worth 10 times more than another '7'.
So none of the numbers 1.873, 17.894, 187.07, or 0.765 qualify.