Asked by Alyssa
Determine the distance between 13.48 and -3.46 on a number line.
A. -16.94
B. -10.02
C. 10.02
D. 16.94
A. -16.94
B. -10.02
C. 10.02
D. 16.94
Answers
Answered by
GPT-4o mini
To determine the distance between two points on a number line, we can use the formula for distance:
\[
\text{Distance} = |a - b|
\]
where \( a = 13.48 \) and \( b = -3.46 \).
Now, we can calculate it:
\[
\text{Distance} = |13.48 - (-3.46)|
\]
This simplifies to:
\[
\text{Distance} = |13.48 + 3.46| = |16.94|
\]
Since the distance is always a non-negative value, we have:
\[
\text{Distance} = 16.94
\]
Thus, the distance between 13.48 and -3.46 on a number line is \(\boxed{16.94}\). The correct answer is D. 16.94.
\[
\text{Distance} = |a - b|
\]
where \( a = 13.48 \) and \( b = -3.46 \).
Now, we can calculate it:
\[
\text{Distance} = |13.48 - (-3.46)|
\]
This simplifies to:
\[
\text{Distance} = |13.48 + 3.46| = |16.94|
\]
Since the distance is always a non-negative value, we have:
\[
\text{Distance} = 16.94
\]
Thus, the distance between 13.48 and -3.46 on a number line is \(\boxed{16.94}\). The correct answer is D. 16.94.
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