Question

Choose all of the expressions that are equal to 61. |âˆ’61| the distance from zero to âˆ’61 the opposite of 61 âˆ’(âˆ’61) the opposite of âˆ’61 âˆ’|âˆ’61| âˆ’|61|

1. The expressions that are equal to 61 are
• |−61|
• The distance from zero to −61
• −(−61)
• The opposite of −61

### How to determine the expressions?

The value of the expression is given as:
Value = 61
Option 1:
|−61|
The expression is given as:
Expression = |-61|
Remove the absolute sign, we get
Expression = 61
Therefore, |-61| = 61
Option 2:
The distance from zero to −61
This is represented as:
Distance = |-61 – 0|
Evaluate the difference, we get
Distance = |-61|
Remove the absolute sign
Distance = 61
Therefore, the distance from zero to −61 is 61
Option 3:
The opposite of 61
The opposite of 61 is represented as:
Opposite = -(61)
Evaluating the above expression, we get
Opposite = -61
Therefore, the opposite of 61 is -61
Option 4:
−(−61)
The expression is given as:
Expression = -(-61)
Removing the bracket, we get
Expression = 61
Therefore, -(-61) = 61
Option 5:
the opposite of −61
The opposite of -61 is represented as:
Opposite = -(-61)
Evaluating the above expression, we get
Opposite = 61
Therefore, the opposite of -61 is 61
Option 6:
−|−61|
The expression is given as:
Expression = -|-61|
Remove the absolute sign, we get
Expression = -61
Therefore, -|-61| = -61