Question

book hwk part 2 of 3

a. look at the following sequence of numbers. study the sequence and find the next numbers in the fraction row. under each fraction, write the decimal.

term # | 1 | 2 | 3 | 4 | 5 | 10 | 50 | 100 | 150 | 200 | n
fraction | 7 | $\frac{7}{2}$ | $\frac{7}{3}$ | $\frac{7}{4}$ | $\frac{7}{5}$ | | | | | | $\frac{7}{n}$
decimal | 7.000 | | | | | | | | | |

b. look at the sequence of numbers in the decimal row. make a conjecture about the numbers and what value they are approaching.

a. complete the fraction row of the table.

term # | 1 | 2 | 3 | 4 | 5 | 10 | 50 | 100 | 150 | 200 | n
fraction | 7 | $\frac{7}{2}$ | $\frac{7}{3}$ | $\frac{7}{4}$ | $\frac{7}{5}$ | $\frac{7}{10}$ | $\frac{7}{50}$ | $\frac{7}{100}$ | $\frac{7}{150}$ | $\frac{7}{200}$ | $\frac{7}{n}$
(type integers or fractions.)

determine the decimal equivalent of each fraction in the table.

term # | 1 | 2 | 3 | 4 | 5 | 10 | 50 | 100 | 150 | 200 | n
decimal | 7.000 | $\square$ | $\square$ | $\square$ | $\square$ | $\square$ | $\square$ | $\square$ | $\square$ | $\square$ |
(round to three decimal places as needed.)

Explanation:

Step1: Calculate for Term #2

The fraction is $\frac{7}{2}$. Divide 7 by 2.
$7\div2 = 3.500$

Step2: Calculate for Term #3

The fraction is $\frac{7}{3}$. Divide 7 by 3 (round to three decimal places).
$7\div3 \approx 2.333$

Step3: Calculate for Term #4

The fraction is $\frac{7}{4}$. Divide 7 by 4.
$7\div4 = 1.750$

Step4: Calculate for Term #5

The fraction is $\frac{7}{5}$. Divide 7 by 5.
$7\div5 = 1.400$

Step5: Calculate for Term #10

The fraction is $\frac{7}{10}$. Divide 7 by 10.
$7\div10 = 0.700$

Step6: Calculate for Term #50

The fraction is $\frac{7}{50}$. Divide 7 by 50.
$7\div50 = 0.140$

Step7: Calculate for Term #100

The fraction is $\frac{7}{100}$. Divide 7 by 100.
$7\div100 = 0.070$

Step8: Calculate for Term #150

The fraction is $\frac{7}{150}$. Divide 7 by 150 (round to three decimal places).
$7\div150 \approx 0.047$

Step9: Calculate for Term #200

The fraction is $\frac{7}{200}$. Divide 7 by 200.
$7\div200 = 0.035$

Answer:

For Term #2: $3.500$
For Term #3: $2.333$
For Term #4: $1.750$
For Term #5: $1.400$
For Term #10: $0.700$
For Term #50: $0.140$
For Term #100: $0.070$
For Term #150: $0.047$
For Term #200: $0.035$