To solve this, we need to fill in the blanks with appropriate digits to make the equation x−_ _._=_ _._, where x equals 77.7.
Let's break it down step by step:
1. The integer part of x is 77. So, we can fill in the first blank with the digit 7: x−7_._=_ _._.
2. Now, we need to place a decimal point. For the fractional part, we want 7 tenths. Since we have already used the digit 7, we cannot use it again. So, we need to use the digit 1: x−7.1=_ _._.
3. The remaining digits are 2, 3, 4, 5, 6, 8, and 9. We need to fill in the last blank with a combination of these digits to make the fractional part 7 hundredths. Among the remaining digits, the only pair that adds up to 7 is 3 and 4. So, we can fill in the last blank as follows: x−7.1=3_._.
4. Finally, we fill in the last remaining blank with the only available digit, which is 4: x−7.1=34..
The completed equation is x−7.1=34, which simplifies to x = 77.7.
To confirm that our solution is correct, we substitute the value of x back into the equation. If the equation holds true, then our solution is correct.
x−7.1=34
77.7−7.1=34
70.6=34
This is not a true statement, so we made an error somewhere in our initial steps. We need to go back and find the mistake to rectify it.