Question

Complete the tables. What happens to the size of the fraction 1/x as x gets large? As x gets small?

Short answer

The size of the fraction 1/x becomes small as x gets large.

The size of the fraction 1/x becomes large as x gets small.

Step-by-step solution

Step 1. Complete Table 1.

x	$\frac{1}{x}$
1	$\frac{1}{1}=1$
2	$\frac{1}{2}=0.5$
10	$\frac{1}{10}=0.1$
100	$\frac{1}{100}=0.01$
1000	$\frac{1}{1000}=0.001$

Step 2. Analyze Table 1.

From Table 1 in Step 1, we can clearly notice that as the value of xincreases, the value of$\frac{1}{x}$ decreases.

So, the size of the fraction 1/x becomes small as x gets large.

Step 3. Complete Table 2.

x	$\frac{1}{x}$
1	$\frac{1}{1}=1$
0.5	$\frac{1}{0.5}=\frac{10}{5}=2$
0.1	$\frac{1}{0.1}=10$
0.01	$\frac{1}{0.01}=100$
0.001	$\frac{1}{0.001}=1000$

Step 4. Analyze Table 2.

From Table 2 in Step 3, we can clearly notice that as the value of xdecreases, the value of$\frac{1}{x}$ increases.

So, the size of the fraction 1/x becomes large as x gets small.