Select all three true statements
-4.5 = |-4.5|
86 = |86|
|-10 2/3|= 10 2/3
-|1/3| = 1/3
|-57| = 57
-4.5 = |-4.5|
86 = |86|
|-57| = 57
The three true statements are:
1. -4.5 = |-4.5|
2. |-10 2/3| = 10 2/3
3. |-57| = 57
To determine which statements are true, we need to evaluate the absolute value (magnitude) of each expression and compare it to the original expression.
1. -4.5 = |-4.5|
To verify this statement, we can take the absolute value of -4.5, which is 4.5. Then we compare it to the original expression -4.5, which is indeed equal to 4.5. Therefore, this statement is true.
2. 86 = |86|
For this statement, we calculate the absolute value of 86, which is 86. Comparing it to the original expression 86, we can observe that they are equal. Hence, this statement is true.
3. |-10 2/3| = 10 2/3
In order to determine the validity of this statement, we need to calculate the absolute value of -10 2/3. The absolute value disregards the negative sign, and we obtain 10 2/3. Comparing it to the original expression of |-10 2/3|, we can see that they are equal. As a result, this statement is true.
4. -|1/3| = 1/3
To verify this statement, we first calculate the absolute value of 1/3, which is 1/3 itself since the value is already positive. Then we place a negative sign in front of it to obtain -1/3. Comparing it to the original expression -|1/3|, we see that they are equal. Therefore, this statement is true.
5. |-57| = 57
In order to evaluate this statement, we calculate the absolute value of -57, which is 57. Comparing it to the original expression |-57|, we can see that they are equal. Hence, this statement is true.
The three true statements are:
-4.5 = |-4.5|
86 = |86|
|-10 2/3| = 10 2/3