To find the number that should replace ç in the subtraction problem, we can set up the equation based on the subtraction provided:
\[ 9.866 - 7.97ç = 1.889 \]
First, we can add 7.97ç to both sides:
\[ 9.866 = 1.889 + 7.97ç \]
Next, we subtract 1.889 from both sides to isolate the term with ç:
\[ 9.866 - 1.889 = 7.97ç \]
Calculating the left side:
\[ 9.866 - 1.889 = 7.977 \]
Now we have:
\[ 7.977 = 7.97ç \]
To find ç, we divide both sides by 7.97:
\[ ç = \frac{7.977}{7.97} \]
Calculating the value:
\[ ç \approx 1.00125 \]
Since ç needs to be a single digit and can only be 3, 6, 7, or 8, let's check these values one by one. We will substitute possible values for ç into \(7.97ç\) and check whether the subtraction equals 1.889.
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If ç = 3: \[ 7.973 = 7.973 \Rightarrow 9.866 - 7.973 = 1.893 \quad (\text{Not correct}) \]
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If ç = 6: \[ 7.976 = 7.976 \Rightarrow 9.866 - 7.976 = 1.890 \quad (\text{Not correct}) \]
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If ç = 7: \[ 7.977 = 7.977 \Rightarrow 9.866 - 7.977 = 1.889 \quad (\text{Correct}) \]
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If ç = 8: \[ 7.978 = 7.978 \Rightarrow 9.866 - 7.978 = 1.888 \quad (\text{Not correct}) \]
The only value that results in a correct subtraction of 1.889 is ç = 7.
Therefore, the number that should replace ç is 7.
1 answer