Which of the following statements is true?(1 point)
Responses
|−40| < |40|
Start Absolute Value negative 40 End Absolute Value is less than Start Absolute Value 40 End Absolute Value
|−40| = |40|
Start Absolute Value negative 40 End Absolute Value equals Start Absolute Value 40 End Absolute Value
|−40| > |40|
Start Absolute Value negative 40 End Absolute Value is greater than Start Absolute Value 40 End Absolute Value
|−40| ≠ |40|
|−40| < |40|
The true statement is "|−40| < |40|".
To determine which statement is true, we need to understand the concept of absolute value.
The absolute value of a number is its distance from zero on a number line, regardless of whether the number is positive or negative. Mathematically, the absolute value of a number is denoted by enclosing the number within vertical bars or pipes.
Now, let's analyze each statement:
1. |−40| < |40|
To find the absolute value of −40, we disregard the negative sign, resulting in 40. Similarly, the absolute value of 40 is also 40. Since 40 is not less than 40, this statement is incorrect.
2. |−40| = |40|
As mentioned before, the absolute value of −40 is 40, and the absolute value of 40 is also 40. Therefore, this statement is correct.
3. |−40| > |40|
Since the absolute value of −40 is 40 and the absolute value of 40 is also 40, both values are equal. Therefore, this statement is incorrect.
4. |−40| ≠ |40|
This statement is correct because the absolute value of −40 is 40, while the absolute value of 40 is also 40. Since 40 is not equal to −40, the statement holds true.
So, the true statement is:
|−40| = |40|