Ethan claims that StartAbsoluteValue 7 minus 3 EndAbsoluteValue = 4. Which statement about Ethan's claim is true? Ethan is corre
ct 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.
4. Ethan is correct because the absolute value indicates the grouping method, thus requiring subtraction first. 7 minus 3 equals 4, leading to StartAbsoluteValue 4 EndAbsoluteValue = 4
Step-by-step explanation:
Claim:
|7 - 3| = 4
The absolute value implies discarding the negative sign associated with a given calculation, and therefore, if the resulting value is negative, the negative sign is omitted, treating the number as positive.
As such, the expression; |7 - 3| = 4 is indeed correct.
Ethan is right because the absolute value brackets serve as grouping symbols, necessitating that subtraction be completed first. Thus, 7 minus 3 equates to 4, and StartAbsoluteValue 4 EndAbsoluteValue equals 4.
