Question

Ethan claims that StartAbsoluteValue 7 minus 3 EndAbsoluteValue = 4. Which statement about Ethan's claim is true? Ethan is correct because StartAbsoluteValue 7 EndAbsoluteValue = negative 7 and StartAbsoluteValue negative 3 EndAbsoluteValue = 3 so –7 + 3 = 4. Plot –7 on a number line, and move right 3 to get –4 on the line. Ethan is incorrect because StartAbsoluteValue 7 EndAbsoluteValue = 7 and StartAbsoluteValue negative 3 EndAbsoluteValue = 3 so 7 + 3 = 10. Plot 7 on a number line, and move right 3 to get 10 on the line. Ethan is incorrect because the absolute value bars are grouping symbols so first you must subtract. 7 minus 3 = 4, and StartAbsoluteValue 4 EndAbsoluteValue = negative 4. Ethan is correct because the absolute value bars are grouping symbols so first you must subtract. 7 minus 3 = 4, and StartAbsoluteValue 4 EndAbsoluteValue = 4.

Answer 1

The absolute value of the quantity between the vertical bars is positive

4, which makes Ethan's claim true.

Response:

• The true statement is; Ethan is correct because the absolute value bars are grouping symbols so first you must subtract 7 minus 3 = 4 and |4| = 4

What are absolute values and how can Ethan's statement be evaluated?

Absolute value of a variable x, expressed as |x| is the value of x that is

non negative.

Ethan's claim is expressed as follows; |7 - 3| = 4

The bars of absolute value surrounds the quantity, to which the

magnitude is being referred and the result is always positive not

regarding the sign (positive or negative).

The statement that is true is therefore;

• Ethan is correct because the absolute value bars are grouping symbols so first you must subtract 7 minus 3 = 4 and |4| = 4

Learn more about absolute values here:

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