Select a compatible number for the given range:
7,010 < \_~\_~93 <7,100
To solve this problem, we'll proceed with the following steps:
- Step 1: Interpret the range 7,010<_ _ 93<7,100. We need to insert digits in the blanks so that the overall number is greater than 7,010 and less than 7,100.
- Step 2: Analyze the hundreds and tens digits. The digits need to make the whole number: 7,0_93, where the _ denotes the undecided digits.
- Step 3: Evaluate each option by filling it into the blanks and check if it falls within the specified range:
- Option 1: If we try 7,393, it falls outside the upper bound of 7,100.
- Option 2: If we try 7,0_93 by assuming it as 7,093, we then have 7,010<7,093<7,100. Thus, it satisfies the inequality.
- Option 3: If we try 7,293, it is also beyond the upper limit of 7,100.
- Option 4: If we adopt 7,193, it also violates the upper edge of the given range.
Therefore, the most suitable number to fill in the blanks to satisfy 7,010<_ _ 93<7,100 is 7,0. Thus, the correct choice is:
7,0