Which number completes the inequality?

1.01 less-than blank less-than 1.17, less-than 1.20
1.008
1.08
1.18
1.8

1 answer

To complete the inequality \(1.01 < \text{blank} < 1.17 < 1.20\), we should find the number that fits in between \(1.01\) and \(1.17\) without exceeding \(1.17\).

Let's evaluate the options:

  1. 1.008: This number is less than \(1.01\), so it does not fit in the inequality.
  2. 1.08: This number is greater than \(1.01\) and less than \(1.17\). It fits the inequality.
  3. 1.18: This is greater than \(1.17\), so it does not fit in the inequality.
  4. 1.8: This is also greater than \(1.20\), so it does not fit in the inequality.

The only number that completes the inequality is:

1.08.