Answer :
To solve the given problem, we will start by marking the appropriate relational operators (\(<\) or \(>\)) where necessary.
Let's go through the given numbers step-by-step and place the correct relational operators:
1. \(1.8 < 2.8\) (This is correct as it is).
2. \(4.3 > 4.124\):
- 4.3 can be thought of as 4.300 which is greater than 4.124.
3. \(0.005 < 0.04\):
- \(0.005\) is directly less than \(0.04\) (also 0.040).
4. \(70.5 < 71.524\):
- \(70.5\) can be viewed as \(70.500\) which is less than \(71.524\).
5. \(2.999 < 3\):
- Numerically, \(2.999\) is less than \(3\).
6. \(8.01 < 8.10\):
- \(8.01\) can be seen as \(8.010\), and \(8.010\) is less than \(8.100\).
7. \(0.006 < 0.04\):
- \(0.006\) is directly less than \(0.04\) (also 0.040).
Since we need to insert a symbol \(\square\) next to \(0.006\), and the only remaining comparison is \(0.006\) versus \(0.040\):
\(\square \longdiv {0,040}\)
After comparing the numbers, the complete relational statements should look like this:
[tex]\[ \begin{array}{l} 1.8 < 2.8 \\ 4.3 > 4.124 \\ 0.005 < 0.04 \\ 70.5 < 71.524 \\ 2.999 < 3 \\ 8.01 < 8.10 \\ 0.006 \square 0.04 \\ \end{array} \][/tex]
Let's go through the given numbers step-by-step and place the correct relational operators:
1. \(1.8 < 2.8\) (This is correct as it is).
2. \(4.3 > 4.124\):
- 4.3 can be thought of as 4.300 which is greater than 4.124.
3. \(0.005 < 0.04\):
- \(0.005\) is directly less than \(0.04\) (also 0.040).
4. \(70.5 < 71.524\):
- \(70.5\) can be viewed as \(70.500\) which is less than \(71.524\).
5. \(2.999 < 3\):
- Numerically, \(2.999\) is less than \(3\).
6. \(8.01 < 8.10\):
- \(8.01\) can be seen as \(8.010\), and \(8.010\) is less than \(8.100\).
7. \(0.006 < 0.04\):
- \(0.006\) is directly less than \(0.04\) (also 0.040).
Since we need to insert a symbol \(\square\) next to \(0.006\), and the only remaining comparison is \(0.006\) versus \(0.040\):
\(\square \longdiv {0,040}\)
After comparing the numbers, the complete relational statements should look like this:
[tex]\[ \begin{array}{l} 1.8 < 2.8 \\ 4.3 > 4.124 \\ 0.005 < 0.04 \\ 70.5 < 71.524 \\ 2.999 < 3 \\ 8.01 < 8.10 \\ 0.006 \square 0.04 \\ \end{array} \][/tex]
