Which number line best shows the position of square root of 13? (1 point)
Number line with numbers negative 4, negative 3, negative 2, negative 1, 0, 1, 2, 3, 4 labeled. A dot is made at 1.3 and labeled as square root of 13.
Number line with numbers negative 4, negative 3, negative 2, negative 1, 0, 1, 2, 3, 4 labeled. A dot is made at 2.6 and labeled as square root of 13.
Number line with numbers negative 4, negative 3, negative 2, negative 1, 0, 1, 2, 3, 4 labeled. A dot is made at 3.6 and labeled as square root of 13.
Number line with numbers negative 4, negative 3, negative 2, negative 1, 0, 1, 2, 3, 4 labeled. A dot is made at 4.3 and labeled as square root of 13.
The number line with a dot made at 3.6 and labeled as square root of 13 best shows the position of the square root of 13.
The correct number line that shows the position of the square root of 13 is the one with a dot made at 3.6 and labeled as square root of 13.
To determine which number line best shows the position of the square root of 13, we need to find the approximate value of the square root of 13 using a calculator or mathematical method.
The square root of 13 is approximately 3.61. Now, let's compare this value to the options provided:
1. The first option has a dot at 1.3, which is significantly smaller than the actual value of the square root of 13. This option does not accurately represent the position of the square root of 13 on the number line.
2. The second option has a dot at 2.6, which is closer to the actual value of the square root of 13 but still not accurate. This option does not accurately represent the position of the square root of 13 on the number line.
3. The third option has a dot at 3.6, which is very close to the actual value of the square root of 13 (3.61). This option accurately represents the position of the square root of 13 on the number line.
4. The fourth option has a dot at 4.3, which is larger than the actual value of the square root of 13. This option does not accurately represent the position of the square root of 13 on the number line.
Based on the comparisons, the third option with a dot at approximately 3.6 accurately shows the position of the square root of 13 on the number line.