Question

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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|

Answers

  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
    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
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