Find Absolute Value: We need to find the absolute value of 8.6. The absolute value of a number is the distance of that number from 0 on the number line, regardless of direction. Since 8.6 is positive, its absolute value is the same as the number itself.Absolute value of 8.6 = ∣8.6∣ = 8.6
Compare Absolute Values: Now we compare the absolute value of 8.6 to −8. Since absolute values are always non-negative, and −8 is a negative number, the absolute value of 8.6 will be greater than −8.8.6 > -8
Correct Symbol: Therefore, the correct symbol to place in the blank to compare ∣8.6∣ and −8 is '\(>\'.
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