Which location on the number line marks the BEST approximation of 13−−√ ? Responses A B C D
Thers a number line and A is between 1 and 2 B is between 3 and 4 C is between 6 and 7 D is between 8 and 9
The square root of 13 is approximately 3.61. Since 3 is between 3 and 4, the best approximation of 13−−√ is option B.
To find the best approximation of √13 on the number line, we can estimate its value. Since 13 is between 9 (3^2) and 16 (4^2), we know that √13 is between 3 and 4.
From the given options, A is between 1 and 2, B is between 3 and 4, C is between 6 and 7, and D is between 8 and 9.
Since √13 is closer to 3 than to 4, the best approximation of √13 on the number line is option B.
To find the best approximation of √13 on the number line, we can start by finding the square root of 13: √13 ≈ 3.60 (rounded to two decimal places).
Now, let's compare this value with the given options:
A: Between 1 and 2
B: Between 3 and 4
C: Between 6 and 7
D: Between 8 and 9
Since √13 ≈ 3.60, the option closest to this value is B, which is between 3 and 4. Therefore, the BEST approximation of √13 on the number line is option B.