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Answer :
To find the difference between the lowest and highest temperatures, we need to calculate how many degrees separate them. The lowest temperature is [tex]\(-15^{\circ} F\)[/tex], and the highest is [tex]\(83^{\circ} F\)[/tex].
To find the difference between two values, we can use subtraction. Since the temperatures have different signs, we use the formula for absolute difference, which is:
[tex]\[ \text{Difference} = | \text{highest temperature} - \text{lowest temperature} | \][/tex]
Substituting the given temperatures into this formula, we get:
[tex]\[ \text{Difference} = | 83 - (-15) | \][/tex]
When we subtract a negative number, it is the same as adding its positive counterpart. Therefore, the expression becomes:
[tex]\[ | 83 + 15 | \][/tex]
Now, let's calculate:
[tex]\[ 83 + 15 = 98 \][/tex]
Taking the absolute value (which is simply the number itself since it's positive):
[tex]\[ |98| = 98 \][/tex]
So, the difference between the highest and lowest temperatures is [tex]\(98^{\circ} F\)[/tex].
Thus, the correct expression to find the difference is:
(D) [tex]\(|83 - (-15)|\)[/tex]
To find the difference between two values, we can use subtraction. Since the temperatures have different signs, we use the formula for absolute difference, which is:
[tex]\[ \text{Difference} = | \text{highest temperature} - \text{lowest temperature} | \][/tex]
Substituting the given temperatures into this formula, we get:
[tex]\[ \text{Difference} = | 83 - (-15) | \][/tex]
When we subtract a negative number, it is the same as adding its positive counterpart. Therefore, the expression becomes:
[tex]\[ | 83 + 15 | \][/tex]
Now, let's calculate:
[tex]\[ 83 + 15 = 98 \][/tex]
Taking the absolute value (which is simply the number itself since it's positive):
[tex]\[ |98| = 98 \][/tex]
So, the difference between the highest and lowest temperatures is [tex]\(98^{\circ} F\)[/tex].
Thus, the correct expression to find the difference is:
(D) [tex]\(|83 - (-15)|\)[/tex]
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