Find the Compatible Number: 7,010 < _ _ 93 < 7,100

Question

Select a compatible number for the given range:

7,010 < \_~\_~93 <7,100

Step-by-Step Solution

To solve this problem, we'll proceed with the following steps:

  • Step 1: Interpret the range 7,010<_ _ 93<7,1007,010 < \_~\_~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_937,0 \_ 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 7,3937,393, it falls outside the upper bound of 7,100.
  • Option 2: If we try 7,0_937,0 \_ 93 by assuming it as 7,0937,093, we then have 7,010<7,093<7,1007,010 < 7,093 < 7,100. Thus, it satisfies the inequality.
  • Option 3: If we try 7,2937,293, it is also beyond the upper limit of 7,100.
  • Option 4: If we adopt 7,1937,193, 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<7,1007,010 < \_~\_~93 < 7,100 is 7,07,0 . Thus, the correct choice is:

7,0 7,0

Answer

7,0 7,0