1. **State the problem:** We need to fill the blanks in the two decimal numbers \(_ . 7 _\) and \(_ . _ 0\) using the digits 4, 5, 6, and 7, so that the numbers fall between 6 and 8 on the number line. 2. The first number is of the form \(_ . 7 _\). Since it's between 6 and 8, the whole number part must be 6 or 7. 3. The second number is of the form \(_ . _ 0\), again between 6 and 8, so the whole number part must be 6 or 7. 4. The approximate positions are 6.74 and 7.50 based on the graph description, which suggests: - For \(_ . 7 _\) around 6.74, the whole number part is 6, the tenths digit is 7, and the hundredths digit is 4. - For \(_ . _ 0\) around 7.50, the whole number part is 7, the tenths digit is 5, and the hundredths digit is 0. 5. Using the number cards 4, 5, 6, and 7: - For the first number \(6.74\), digits 6, 7, and 4 are used. - For the second number \(7.50\), digits 7, 5, and 0. Since 0 is not in the cards, but the problem states the digit 0 is fixed, so only 5 and 7 from cards are used here. 6. Both numbers: \(6.74\) and \(7.50\) fit between 6 and 8 correctly. **Final answer:** The two completed numbers are \(6.74\) and \(7.50\).