Question

complete the number sentence with a < or >.
e. $sqrt{9}$ $square$ $\frac{3}{8}$
f. $sqrt{63}$ $square$ $\frac{43}{5}$
g. $sqrt{16}$ $square$ 3.75
h. $sqrt{50}$ $square$ $\frac{15}{2}$

Explanation:

E.

Step1: Calculate $\sqrt{9}$

$\sqrt{9} = 3$

Step2: Compare with $\frac{3}{8}$

Since $3 > \frac{3}{8}$ (because $3 = \frac{24}{8}$ and $\frac{24}{8} > \frac{3}{8}$)

Step1: Calculate $\sqrt{63}$ (approximate)

$\sqrt{63} \approx 7.94$ (since $7^2 = 49$, $8^2 = 64$, so $\sqrt{63}$ is between 7 and 8, closer to 8)

Step2: Convert $\frac{43}{5}$ to decimal

$\frac{43}{5} = 8.6$

Step3: Compare

Since $7.94 < 8.6$, so $\sqrt{63} < \frac{43}{5}$

Step1: Calculate $\sqrt{16}$

$\sqrt{16} = 4$

Step2: Compare with $3.75$

Since $4 > 3.75$

Answer:

$\sqrt{9} > \frac{3}{8}$

F.