Which statement correctly compares the values in the statement?

Question

StartAbsoluteValue negative 0.45 EndAbsoluteValue blank box StartAbsoluteValue negative 0.0045 EndAbsoluteValue
0.45 greater-than 0.0045
Negative 0.45 less-than 0.0045
0.45 less-than 0.0045

Answer 1

To compare the values, we first need to evaluate the absolute values given:

• The absolute value of \(-0.45\) is \(0.45\).
• The absolute value of \(-0.0045\) is \(0.0045\).

Now we can compare the absolute values:

• \(0.45\) is greater than \(0.0045\) (since \(0.45\) is significantly larger than \(0.0045\)).

Now we can analyze the statements provided:

1. 0.45 greater-than 0.0045: This statement is true.
2. Negative 0.45 less-than 0.0045: This statement is also true, since \(-0.45\) is indeed less than \(0.0045\).
3. 0.45 less-than 0.0045: This statement is false, as we previously established that \(0.45\) is greater than \(0.0045\).

Thus, the correct comparisons are:

• 0.45 greater-than 0.0045
• Negative 0.45 less-than 0.0045

Given what you are seeking, the answer can be expressed as two statements:

• 0.45 greater-than 0.0045
• Negative 0.45 less-than 0.0045