Question

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

1. thachthao
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
Next, we evaluate the options:
Option 1: |−61|
The expression is given as:
Expression = |-61|
Remove the absolute sign
Expression = 61
Hence, |-61| equals 61
Option 2: The distance from zero to −61
This is represented as:
Distance = |-61 – 0|
Evaluate the difference
Distance = |-61|
Remove the absolute sign
Distance = 61
Hence, the distance from zero to −61 is 61
Option 3: The opposite of 61
The opposite of 61 is represented as:
Opposite = -(61)
Evaluate
Opposite = -61
Hence, the opposite of 61 is -61
Option 4:−(−61)
The expression is given as:
Expression = -(-61)
Remove the bracket
Expression = 61
Hence, -(-61) equals 61
Option 5: the opposite of −61
The opposite of -61 is represented as:
Opposite = -(-61)
Evaluate
Opposite = 61
Hence, the opposite of -61 is 61
Option 6: −|−61|
The expression is given as:
Expression = -|-61|
Remove the absolute sign
Expression = -61
Hence, -|-61| equals –61
Option 6: −|61|
The expression is given as:
Expression = -|61|
Remove the absolute sign
Expression = -61
Hence, -|61| equals –61